+ 1/3*c.
(c - 1)*(c + 2)/3
Let u(y) = 12*y**5 - 6*y**4 - 9*y**3 - 33*y**2 + 12*y + 24. Let p(z) = z**5 - z**4 - z**3 - z**2 + z + 1. Let a(r) = 15*p(r) - u(r). Let a(h) = 0. Calculate h.
-1, 1, 3
Let v = -56 - -60. Let r(i) be the second derivative of 3*i + 1/4*i**v - 1/2*i**3 + 0 + 1/2*i**2 - 1/20*i**5. Let r(a) = 0. What is a?
1
Let z(t) be the second derivative of -3*t**6/55 - 3*t**5/55 + t**4/6 + 4*t**3/33 - 4*t**2/11 + 9*t. What is o in z(o) = 0?
-1, 2/3
Let q(d) = -d + 5. Let r be q(5). Let o be 2 + (r - 0 - 0). Factor -j**2 - o + 2 - j**4 + 2*j**3.
-j**2*(j - 1)**2
Let u(o) be the first derivative of -o**5/15 - 5*o**4/12 - 8*o**3/9 - 2*o**2/3 + 35. Suppose u(f) = 0. Calculate f.
-2, -1, 0
Suppose 7 = 2*t + 1. Let q(k) be the second derivative of 1/50*k**5 + 1/5*k**t - 1/10*k**4 + 0 - 1/5*k**2 - 4*k. Factor q(a).
2*(a - 1)**3/5
Let j(v) be the first derivative of v**6/540 + v**5/270 - v**2/2 - 3. Let t(y) be the second derivative of j(y). Solve t(f) = 0.
-1, 0
Let x = -83416 + 4170943/50. Let v = x + -9/25. Factor -3/2*u**3 + v*u - 1 + 2*u**2.
-(u - 2)*(u + 1)*(3*u - 1)/2
Let y(d) be the second derivative of -d**6/6 - 5*d**5/2 + 6*d. Factor y(a).
-5*a**3*(a + 10)
Let y(q) = -2*q**2 - 10*q - 8. Let v = 5 + -12. Let m(f) = -2*f**2 - 11*f - 9. Let o(x) = v*y(x) + 6*m(x). Solve o(t) = 0 for t.
-1
Let w(s) be the third derivative of -s**8/80640 - s**7/6720 - s**6/1440 + s**5/30 + 2*s**2. Let g(d) be the third derivative of w(d). Factor g(u).
-(u + 1)*(u + 2)/4
Let s be (-204)/(-33) - 2/11. Factor 4*u - s*u**2 + 2*u**3 - 4*u**3 + 4*u**2 + 4*u**2.
-2*u*(u - 2)*(u + 1)
Let g(f) = f**2 - 6*f + 2. Let r be g(6). Factor v**r - 7*v**2 + 3*v**3 + 0*v**3.
3*v**2*(v - 2)
Let r(v) be the second derivative of -v**7/21 + v**6/15 + v**5/2 + v**4/2 + 11*v. Suppose r(l) = 0. What is l?
-1, 0, 3
Let k(o) be the third derivative of -o**7/420 - o**6/120 - o**5/120 + 5*o**2. Solve k(u) = 0 for u.
-1, 0
Let x(m) = 3*m**4 + 15*m**3 - 3*m**2 - 15*m. Let j(t) = t**3 - t**2 - t + 1. Let u(o) = -6*j(o) + x(o). Factor u(v).
3*(v - 1)*(v + 1)**2*(v + 2)
Let r(p) = -1 + 3*p + 4 + 3*p**2 - 2*p**3 + p**3. Let a be r(4). Let i(x) = 5*x**2 + 7*x + 5. Let u(k) = k**2 + k + 1. Let q(h) = a*i(h) + 3*u(h). Factor q(l).
-2*(l + 1)**2
Let n(y) be the third derivative of 1/120*y**6 - 3*y**2 - 1/6*y**3 + 0 - 1/24*y**4 + 1/60*y**5 + 0*y. Factor n(b).
(b - 1)*(b + 1)**2
Let v be 4/2 + (60/27 - 4). Factor 0 - 2/9*d**3 + 2/9*d**2 + v*d - 2/9*d**4.
-2*d*(d - 1)*(d + 1)**2/9
Suppose 4*i - 2 = -2. Let d be 2/(-6) - 10/(-3). Suppose -26/5*p**4 + i + 2*p**5 + 18/5*p**d - 4/5*p + 2/5*p**2 = 0. Calculate p.
-2/5, 0, 1
Let t = -21 - -32. Let z = t + -7. Factor -z*g**4 + 6*g**4 - 2*g**5 + 0*g**4 - 2*g**2 + 2*g**3 + 0*g**2.
-2*g**2*(g - 1)**2*(g + 1)
Let a(v) = -v**4 + v**3 - v**2 + 1. Let g(r) = -r**5 + 3*r**4 - 3*r**3 + 5*r**2 - 4. Let s be (-1 + (3 - 6))/1. Let i(l) = s*a(l) - g(l). Factor i(d).
d**2*(d - 1)*(d + 1)**2
Suppose 5*d - 2*g = 17 - 1, g + 11 = 4*d. Suppose -d*m = 1 - 5. Solve 4*x**2 + 2*x**3 - 4*x**5 - x + 3*x**5 - 4*x**m = 0 for x.
-1, 0, 1
Let k(z) = z + 6. Let q be k(-4). Find c, given that -3/4*c**q - 1/4*c**3 + 1 + 0*c = 0.
-2, 1
Let l(m) be the third derivative of m**8/168 - m**7/35 + m**6/20 - m**5/30 + 4*m**3/3 + 9*m**2. Let h(j) be the first derivative of l(j). Factor h(u).
2*u*(u - 1)**2*(5*u - 2)
Let z(m) = -m**2 + 7*m + 47. Let g be z(-4). Factor 4/11*v + 0 + 8/11*v**g - 10/11*v**2 - 2/11*v**4.
-2*v*(v - 2)*(v - 1)**2/11
Let n(v) = v**3 + 7*v**2 + 6*v + 2. Let z be n(-6). Let t(x) = 3*x**3 - x + 1. Let a be t(1). Find f, given that -a*f**2 + f**z - 4*f + 2 - 4 = 0.
-1
Suppose 0 = -2*h - g + 2, -4*g - 3 = 3*h - 11. Solve 3/4*t + 3/4*t**3 - 3/2*t**2 + h = 0.
0, 1
Let q(b) be the first derivative of 3*b**4/4 - 3*b**3 + 9*b**2/2 - 3*b - 22. Factor q(x).
3*(x - 1)**3
Let f = 309 - 6177/20. Let b = f + 3/5. Find m such that 0 + 1/2*m + 5/4*m**5 - 7/4*m**3 + b*m**2 - 3/4*m**4 = 0.
-1, -2/5, 0, 1
Factor -2*r**2 - 2*r + 2*r**4 + 0*r**4 + 4*r**3 - 2*r**3 + 0*r**3.
2*r*(r - 1)*(r + 1)**2
Solve 44*l**2 + 41*l**2 - 24*l - 36 - 89*l**2 = 0 for l.
-3
Let x(v) = 8*v**2 + 4*v - 1. Let m(y) = y**2 - 6*y - 10. Let a be m(7). Let f(i) = 40*i**2 + 20*i - 4. Let u(j) = a*f(j) + 16*x(j). Find n, given that u(n) = 0.
-1, 1/2
Let g(f) = 4*f**5 - 6*f**4 - 2*f**3 + 2*f**2 + 2*f. Let o(j) = -4*j**5 + 6*j**4 + 2*j**3 - 3*j**2 - j. Let m(i) = -3*g(i) - 4*o(i). Let m(k) = 0. Calculate k.
-1, 0, 1/2, 1
Let v be -4 + (-9)/(-3) + (-32)/(-14). Factor 3/7*t**2 + 6/7 + v*t.
3*(t + 1)*(t + 2)/7
Let b(x) be the first derivative of -x**5/30 - x**4/6 + 2*x**2 - 3. Let o(q) be the second derivative of b(q). Find n such that o(n) = 0.
-2, 0
Let c(t) = -t**2 - 6*t - 5. Let s be c(-6). Let j(k) = k**3 + 6*k**2 + 5*k + 2. Let q be j(s). Solve -2*g**q + 0*g - 3*g + g = 0 for g.
-1, 0
Let y(l) be the second derivative of l**5/60 + l**4/12 - l**3/2 + 3*l**2 + 7*l. Let h(r) be the first derivative of y(r). Solve h(m) = 0.
-3, 1
Let t(g) = -g**2 - g - g**2 + g**2. Let u(h) = -10*h**4 + 14*h**3 + 8*h**2 - 12*h + 4. Let o(q) = -2*t(q) - u(q). Factor o(i).
2*(i - 1)**2*(i + 1)*(5*i - 2)
Suppose 47 = 21*x - 247. Suppose 8*z + 8/7 + x*z**2 = 0. What is z?
-2/7
Factor -2/3*b**3 + 2*b**2 - 8/3 + 0*b.
-2*(b - 2)**2*(b + 1)/3
Let n(t) = 7*t**4 + 32*t**3 + 96*t**2 + 128*t + 61. Let z(g) = -8*g**4 - 32*g**3 - 96*g**2 - 128*g - 60. Let c(i) = -4*n(i) - 3*z(i). Factor c(l).
-4*(l + 2)**4
Let h(r) = -r**3 - 1. Let u(k) = -6*k**3 - 2*k**2 + 8*k + 4. Let i(l) = 4*h(l) - u(l). Determine m so that i(m) = 0.
-2, -1, 2
Factor 1/3*h**5 + h + 0*h**4 - 2/3 - 4/3*h**3 + 2/3*h**2.
(h - 1)**3*(h + 1)*(h + 2)/3
Let y(l) be the first derivative of -l - 1/6*l**3 + 3/4*l**2 + 5. Find t such that y(t) = 0.
1, 2
Suppose -3*q = q - 16. Suppose u = -q*u. Factor u*t**5 - 5*t**5 + 3*t**5 + 4*t**3 - 2*t.
-2*t*(t - 1)**2*(t + 1)**2
Suppose -2/7*c**2 + 2/7*c + 4/7 = 0. What is c?
-1, 2
Let t = 23 + -21. Suppose a + 3 = 7. Factor 3*c**a - c + 0*c**2 - 3*c**3 - 3*c**t + 4*c.
3*c*(c - 1)**2*(c + 1)
Let b = 22034 + -2864469/130. Let j = 11/26 - b. What is a in 0 + 2/5*a**3 + 0*a + j*a**2 = 0?
-2, 0
Factor 4/3*t**2 + 0*t - 2/3*t**3 + 0 - 2/3*t**4.
-2*t**2*(t - 1)*(t + 2)/3
Find m such that 4/5*m**3 - 8/5*m**2 + 4/5 - 2/5*m**5 + 4/5*m**4 - 2/5*m = 0.
-1, 1, 2
Let s be ((-20)/55)/(28/(-22)). Find f, given that 0 - s*f + 6/7*f**3 - 4/7*f**2 = 0.
-1/3, 0, 1
Let w be (-1*4/24)/(-1 - 2). Let u(t) be the second derivative of -1/90*t**6 + w*t**4 + 0 - 1/6*t**2 + 0*t**3 - 3*t + 0*t**5. Let u(d) = 0. What is d?
-1, 1
Let q(n) be the second derivative of n**8/840 - n**7/84 + 2*n**6/45 - n**5/15 + n**3/3 + 2*n. Let u(a) be the second derivative of q(a). Solve u(c) = 0.
0, 1, 2
Let s = 189/8 - 407/24. Factor 56/9*g - s*g**2 - 16/9 + 2*g**3.
2*(g - 2)*(3*g - 2)**2/9
Let k = -90 - -272/3. Let a(o) = o**3 + 4*o**2 + 2*o - 3. Let j be a(-3). Let -2/9*z**5 + 4/9*z - k*z**2 + 2/3*z**4 - 2/9*z**3 + j = 0. Calculate z.
-1, 0, 1, 2
Let b(g) = g**2 + g - 2. Let v(z) = 4*z**2 + 2*z - 6. Suppose 0 = -3*o + 4*n + 21, 3*n = 8*n. Let f(q) = o*b(q) - 2*v(q). Factor f(k).
-(k - 2)*(k - 1)
Find v such that -1/2*v**4 + 1/2*v**2 - 1/3*v + 1/6*v**5 + 0 + 1/6*v**3 = 0.
-1, 0, 1, 2
Suppose 4*n = 5*d - 24, -4 - 9 = -2*d + 5*n. Let m be (2/d)/(7/42). Determine q so that -1/4 + 3/2*q**m + 9/4*q**4 - 3/2*q - 2*q**2 = 0.
-1, -1/3, 1
Let d(s) be the third derivative of 0*s**3 + 1/108*s**4 + 0*s - 1/90*s**5 - 3*s**2 + 0. Solve d(r) = 0 for r.
0, 1/3
Find j such that 15*j**3 - 4*j**4 + j**4 - 9*j**2 + 0*j + 3*j - 6*j**3 = 0.
0, 1
Let s(j) be the first derivative of 1/3*j**2 - 1/3*j**3 - 1/6*j**6 - 3 + 7/15*j**5 + 0*j - 1/4*j**4. Determine l, given that s(l) = 0.
-2/3, 0, 1
Let d(o) = -o**3 + 6*o**2 - 4*o - 2. Let h be d(5). Suppose h*l - 13 = 11. Determine m so that 49/4*m**3 + 1 + l*m + 77/4*m**2 = 0.
-1, -2/7
Let l = 6 + -1. Suppose 0 = l*c + 25, -2*c - 21 = -2*o - 1. Let b**4 - 9*b**5 - b**3 - b**2 + 10*b**o + 0*b**4 = 0. Calculate b.
-1, 0, 1
Suppose -7*z + 3*z + 8 = 0. Let p = -4 - -8. Determine v so that 2*v - 4*v**z - 2 + p + 0 = 0.
-1/2, 1
Factor -18*k**4 + 0 - 8/9*k**2 + 0*k - 8*k**3.
-2*k**2*(9*k + 2)**2/9
Suppose -5*h = -0*h - 25. Suppose -2*u + h*y + 2 = 0, -u - 2*u = 3*y - 3. Find l, give