 = z - -3/7. Factor -f*c + 0 - 3/5*c**2 - 1/5*c**4 - 3/5*c**3.
-c*(c + 1)**3/5
Let a be (-3)/((-6)/(-4)*-1) - 0. Suppose 6/7*n**a - 4/7*n**3 - 8/7 - 2/7*n**4 + 8/7*n = 0. What is n?
-2, 1
Let w be (-1)/3 - (-10)/(-15). Let s be -3 + 1 - 2/w. Suppose s + 2/9*k**2 - 2/9*k**3 + 0*k = 0. Calculate k.
0, 1
Let n(f) be the third derivative of 7*f**9/1080 - 11*f**8/480 + 8*f**7/315 - f**6/90 - f**4/4 - 4*f**2. Let x(d) be the second derivative of n(d). Factor x(o).
2*o*(o - 1)*(7*o - 2)**2
Let o = 9/2 + -11/3. Let y(n) be the second derivative of n**2 + 0 + 3*n + 1/5*n**5 + 4/3*n**3 + o*n**4. Factor y(q).
2*(q + 1)**2*(2*q + 1)
Let x be (-185)/(-74) - (6/(-4))/(-3). Factor -1/7*m**4 + 0 + 1/7*m**x + 0*m + 0*m**3.
-m**2*(m - 1)*(m + 1)/7
Let k(w) be the third derivative of w**6/288 - w**5/160 - w**4/48 - 2*w**3/3 - 6*w**2. Let p(c) be the first derivative of k(c). Factor p(g).
(g - 1)*(5*g + 2)/4
Let n(q) be the third derivative of -q**6/12 - q**5/4 + 5*q**4/8 + 5*q**3/3 - 33*q**2. Find g such that n(g) = 0.
-2, -1/2, 1
Let d(y) be the third derivative of 0*y**3 + 1/120*y**6 + 4*y**2 + 0*y - 1/20*y**5 + 0 + 0*y**4. Factor d(v).
v**2*(v - 3)
Let k(i) = -1 + 3*i + i**2 + i**3 - 2*i + 0. Let o(a) = -13*a**3 - 5*a**2 + 18*a + 6. Let g(y) = -3*k(y) + o(y). Factor g(b).
-(b - 1)*(4*b + 3)**2
Suppose -2*o = -5*o. Let t(c) be the third derivative of 0 + 0*c**3 + o*c + 1/84*c**4 + 2*c**2 - 1/105*c**5 + 1/420*c**6. Solve t(h) = 0 for h.
0, 1
Factor -2/11*a**2 + 0 - 2/11*a**5 + 2/11*a**4 + 0*a + 2/11*a**3.
-2*a**2*(a - 1)**2*(a + 1)/11
Let w(j) be the second derivative of -3*j**5/40 - j**4/8 + j**3/2 + 4*j. Factor w(f).
-3*f*(f - 1)*(f + 2)/2
Let h(s) be the first derivative of s**3/3 - 3*s**2 + 9*s + 7. Factor h(n).
(n - 3)**2
What is n in -1/2*n**3 + n**2 - 1/2*n + 0 = 0?
0, 1
Let c(j) be the second derivative of -1/12*j**4 + 0 + 0*j**2 + 0*j**3 - 1/20*j**5 - 5*j. Factor c(o).
-o**2*(o + 1)
Let b(f) = 34607*f**3 - 13124*f**2 + 1271*f - 36. Let c(t) = 11536*t**3 - 4375*t**2 + 424*t - 12. Let g(q) = 4*b(q) - 11*c(q). Let g(z) = 0. What is z?
2/31, 1/4
Let i be (-29)/6 + (-16)/24. Let g = -5 - i. Factor -2*u**4 - 2*u**2 - 1/2*u**5 - 3*u**3 + 0 - g*u.
-u*(u + 1)**4/2
Let b(w) be the third derivative of -w**8/392 - 17*w**7/735 - 37*w**6/420 - 13*w**5/70 - 5*w**4/21 - 4*w**3/21 + 17*w**2. What is q in b(q) = 0?
-2, -1, -2/3
Let v(l) = l**2 - 4. Let g be v(-3). Suppose 0 = g*b - 20 - 0. Find f such that 1/2*f**b + 0*f + 0*f**2 + 1/2*f**3 + 0 = 0.
-1, 0
Suppose 4*s = -113 - 127. Let m be (1 - 3) + s/(-21). Let m*v - 4/7 - 2/7*v**2 = 0. Calculate v.
1, 2
Let x be (-4)/4*12/(-4). Let o be (18/(-16))/(2/(-4)). Determine s, given that o*s**2 + 1/2*s + x*s**3 + 5/4*s**4 + 0 = 0.
-1, -2/5, 0
Let y = -5 - -4. Let w be -3 + (51/(-9))/y. Factor 4*c**2 + 2/3*c**4 - 8/3*c**3 - w*c + 2/3.
2*(c - 1)**4/3
Suppose 1 + 2 = k. Suppose 0 = -8*f + k*f. Factor f*l**4 + 0*l + 0 - 2/7*l**5 + 2/7*l**3 + 0*l**2.
-2*l**3*(l - 1)*(l + 1)/7
Suppose -1 = -4*c - 0*q + 5*q, 5*c = -q + 23. Let d(n) be the first derivative of 0*n**2 + 1 + 1/5*n**5 + 0*n - 1/6*n**6 - 1/3*n**3 + 1/4*n**c. Factor d(a).
-a**2*(a - 1)**2*(a + 1)
Let r(u) be the first derivative of -5*u**3/12 + 3*u**2/8 + u/2 - 14. Let r(w) = 0. Calculate w.
-2/5, 1
Let j(m) = m**2 + m - 2. Let s be 3 + 2 + -2 - 6. Let n(t) = t**2 - 1. Let a(g) = s*n(g) + 2*j(g). Factor a(w).
-(w - 1)**2
Let d(n) = -17*n**4 - 16*n**3 - n**2 + 3*n. Let k(r) = -25*r**4 - 24*r**3 - r**2 + 5*r. Suppose 7 = 4*c + 27. Let s(a) = c*k(a) + 7*d(a). Factor s(l).
2*l*(l + 1)**2*(3*l - 2)
Find w, given that -4*w + 4*w**2 + 22*w + 10*w = 0.
-7, 0
Let c be (-7 - -6)*2 - -1*4. Let j(h) = h + 6. Let a be j(-6). Find n, given that a*n**c + n**5 + 0 + 1/4*n**3 - 5/4*n**4 + 0*n = 0.
0, 1/4, 1
Let j(r) be the second derivative of 2*r**2 + 0 + r + 1/12*r**4 - 2/3*r**3. Factor j(d).
(d - 2)**2
Let f(h) = 3*h**4 - 12*h**3 + 7*h**2 - 5*h + 5. Let u(c) = -15*c**4 + 60*c**3 - 36*c**2 + 24*c - 24. Let r(a) = 24*f(a) + 5*u(a). Factor r(v).
-3*v**2*(v - 2)**2
Let l(u) be the second derivative of u**9/37800 - u**8/8400 + u**7/6300 - u**4/4 + 3*u. Let q(a) be the third derivative of l(a). Factor q(x).
2*x**2*(x - 1)**2/5
Let b(f) = 2*f**2 - f + 2. Let z be b(1). Factor 0*c**2 - 1/2*c + 0 + 1/2*c**z.
c*(c - 1)*(c + 1)/2
Let y be (-6 - -7) + 2/(-2). Let u(g) be the third derivative of -2*g**2 + 1/135*g**5 - 1/540*g**6 + 0*g - 1/108*g**4 + 0*g**3 + y. Factor u(n).
-2*n*(n - 1)**2/9
Let x be 2/(-6)*(4 - 4). Let x - 72/5*z**2 - 162/5*z**3 - 8/5*z = 0. Calculate z.
-2/9, 0
Let a(y) be the first derivative of y**4/20 - y**2/10 - 1. Factor a(w).
w*(w - 1)*(w + 1)/5
Let i(y) be the first derivative of -5*y**3/3 + 15*y**2/2 - 10*y - 41. Factor i(u).
-5*(u - 2)*(u - 1)
Let f(w) = 4*w - 5. Let s(l) = -7*l + 9. Let b(a) = -5*f(a) - 3*s(a). Let i be b(6). Suppose 0 - 4*g**3 + 3*g**2 - 2/3*g + 5/3*g**i = 0. Calculate g.
0, 2/5, 1
Let o(g) = -3*g**3 + 6*g**2 + 3*g - 3. Let h = 21 + -18. Let m(d) = d**4 - 7*d**3 + 11*d**2 + 5*d - 5. Let a(r) = h*m(r) - 5*o(r). Factor a(v).
3*v**2*(v - 1)**2
Let b(o) = -2*o. Let z = 4 - 5. Let i be b(z). Suppose -3*w**2 + 3*w + w - 4*w**2 + 9*w**i = 0. What is w?
-2, 0
Let o = 16 + -1. Let l = o + -13. Factor 0 + 1/2*k**4 - 1/2*k**l - 1/2*k**3 + 0*k + 1/2*k**5.
k**2*(k - 1)*(k + 1)**2/2
Let l(g) = -2*g**2 + 3*g - 1. Let o(x) = 9*x**2 - 13*x + 4. Let z(b) = -26*l(b) - 6*o(b). Suppose z(r) = 0. Calculate r.
-1, 1
Let j = -948 + 255961/270. Let r(f) be the third derivative of f**2 - 1/945*f**7 + j*f**5 + 1/540*f**6 - 1/108*f**4 + 0*f + 0 + 0*f**3. Factor r(k).
-2*k*(k - 1)**2*(k + 1)/9
Let d(p) = -p**2 - 4*p - 3. Let j be d(-6). Let k be (-6)/j*10/8. Solve -1/4*l + k - 2*l**2 - 5/4*l**3 = 0.
-1, 2/5
Let j(z) = 4*z**2 - 14*z + 34. Let q(r) = 13*r**2 - 41*r + 103. Let c(x) = -14*j(x) + 4*q(x). Suppose c(f) = 0. What is f?
4
Let h be ((-12)/(-3 + -1))/6. Let z(w) be the first derivative of 1 + w + 1/2*w**6 - h*w**4 - 2*w**3 + w**5 - 1/2*w**2. What is f in z(f) = 0?
-1, 1/3, 1
Let r be 4/(-10) - (-56)/(-10). Let z(u) = -u**5 - u**3 - u**2 - 1. Let h(i) = 5*i**5 + 7*i**3 + 6*i**2 + 6. Let s(c) = r*z(c) - h(c). What is n in s(n) = 0?
-1, 0, 1
Suppose 22*c - 19*c = 6. Factor 1/2*s**c + 1 + 3/2*s.
(s + 1)*(s + 2)/2
Let k(u) = 2*u**3 - 1. Let v(a) be the third derivative of -a**6/120 + a**4/24 + a**3/6 - 5*a**2. Let x(n) = k(n) + 3*v(n). Factor x(w).
-(w - 2)*(w + 1)**2
Let v(f) = -f**2 + f + 1. Let q(w) = w. Suppose -r - 3 + 4 = 0. Let p be ((-1)/1 - r) + 3. Let m(s) = p*v(s) - q(s). Factor m(g).
-(g - 1)*(g + 1)
Suppose 4*y - 4*a = -28, -y + 6*y + 23 = 2*a. Let u be 1/y - 7/(-12). Determine f so that 1/4*f**2 - 1/4*f + u*f**3 - 1/4 = 0.
-1, 1
Let m(h) be the first derivative of -2*h - 1/12*h**4 - 3 + 0*h**3 + 0*h**2. Let n(f) be the first derivative of m(f). Factor n(s).
-s**2
Let z(x) be the second derivative of 0 + 1/54*x**4 + 2/27*x**3 + 2*x + 1/9*x**2. Factor z(l).
2*(l + 1)**2/9
Suppose -4*d - 4 = -0. Let f be (2 - 1)*(-1 - d). Determine x so that 1/4*x**3 - 1/4*x**2 + f + 0*x = 0.
0, 1
Let k(m) be the first derivative of -m**3/4 + 3*m**2 - 21*m/4 + 40. Factor k(j).
-3*(j - 7)*(j - 1)/4
Let k(i) be the third derivative of 0*i**5 + 0 - 2*i**2 + 0*i**3 + 1/210*i**7 + 0*i - 1/672*i**8 + 0*i**4 - 1/240*i**6. Let k(n) = 0. Calculate n.
0, 1
Let m = 643/10 + -64. Let x = 1/30 + m. Factor -4/3*q**4 - 5*q**2 + 13/3*q**3 - x + 7/3*q.
-(q - 1)**3*(4*q - 1)/3
Suppose -4*q + 45 = -5*x - 105, x - 3*q + 19 = 0. Let z be -3 - 4/40*x. Factor z*l**2 - 8/5*l + 8/5.
2*(l - 2)**2/5
Let o(a) be the first derivative of 3*a**2 + 2*a + 1/2*a**4 - 2 + 2*a**3. Determine d so that o(d) = 0.
-1
Suppose a = -0*a + 4. Let n(g) be the second derivative of 1/2*g**a + g**2 + 1/10*g**5 + 0 + g**3 - g. Factor n(q).
2*(q + 1)**3
Let a(o) = -2*o**2 - 5*o + 3. Let s be a(-3). Let y(v) be the second derivative of 0*v**2 - 1/3*v**3 + v - 1/3*v**4 + s + 3/10*v**5. Factor y(g).
2*g*(g - 1)*(3*g + 1)
Let d(g) = -20*g - 4. Let n be d(-3). Let q be n/(-35)*(1 + -6). Find f such that -2*f + f**3 - 8*f**4 - 11*f**3 - 2*f**3 - q*f**2 - 2*f**5 = 0.
-1, 0
Let t(u) be the third derivative of -u**7/840 - u**6/80 - u**5/20 - 5*u**4/24 - 6*u**2. Let f(o) be the second derivative of t(o). What is r in f(r) = 0?
-2, -1
Facto