+ 9 = -4*k. Let n(f) = -f + 1. Let q(y) = -y**2 - y - 1. Let l(x) = m*n(x) + 2*q(x). Suppose l(s) = 0. Calculate s.
-2, 0
Factor 0 - 3/2*q**2 - 1/2*q**3 - q.
-q*(q + 1)*(q + 2)/2
Let r(s) be the first derivative of 2*s**3/3 + 4*s**2/3 + 2*s/3 + 11. Factor r(a).
2*(a + 1)*(3*a + 1)/3
Let b(c) be the third derivative of -c**7/1260 - c**6/720 + c**5/360 + c**4/144 - 5*c**2. Factor b(k).
-k*(k - 1)*(k + 1)**2/6
Let s = 10626 + -796964/75. Let p = s + 904/825. Suppose 4/11*w + p*w**2 + 0 = 0. What is w?
-2/5, 0
Let t(b) = -4*b**3 - 2*b + 2. Let s be t(4). Let o = 1057/4 + s. Factor o*c + 3/2 + 0*c**2 - 3/4*c**3.
-3*(c - 2)*(c + 1)**2/4
Let r(a) be the second derivative of -a**7/5040 - a**6/1440 - a**4/3 - a. Let m(z) be the third derivative of r(z). Suppose m(t) = 0. Calculate t.
-1, 0
Let t be (5 - 2) + (-497)/168. Let h(j) be the second derivative of 0 + 1/12*j**3 - j - t*j**4 + 0*j**2. Let h(o) = 0. What is o?
0, 1
Let k be 9/(-6)*(174/(-81) + 2). Factor k*q**2 + 4/9*q**3 + 0 + 0*q.
2*q**2*(2*q + 1)/9
Let v(c) = -5*c**5 - 19*c**4 - 19*c**3 - c**2 - 4*c. Let k(n) = -5*n**5 - 20*n**4 - 20*n**3 - 5*n. Let f(p) = -4*k(p) + 5*v(p). Factor f(j).
-5*j**2*(j + 1)**3
Let q = -8/59 - -512/295. Factor 6/5 + q*n + 2/5*n**2.
2*(n + 1)*(n + 3)/5
Let j(u) be the third derivative of -1/20*u**5 - 1/120*u**6 + 0 + 2/3*u**3 + 0*u**4 + 0*u + 2*u**2. What is t in j(t) = 0?
-2, 1
Let x(f) be the third derivative of f**5/105 + 2*f**4/7 + 65*f**2. Factor x(n).
4*n*(n + 12)/7
Factor 0 - 2*n**4 + 0*n + 4*n**5 + 0*n**2 + 1/4*n**3.
n**3*(4*n - 1)**2/4
Let v(y) be the first derivative of -y**6/21 - 6*y**5/35 - y**4/7 + 4*y**3/21 + 3*y**2/7 + 2*y/7 + 6. Factor v(w).
-2*(w - 1)*(w + 1)**4/7
Suppose 3*b = 3*t + 8 + 7, 5*t + 5 = 0. Suppose b*u + 8 = 28. Solve -4*i**3 + 3*i**4 + 2*i + 4*i**2 - 2 + i**5 - 5*i**4 + 0*i**5 + i**u = 0 for i.
-1, 1
Let v = -343 - -346. What is b in -1/5*b**5 + 2/5*b + 0 - 3/5*b**4 + 3/5*b**2 - 1/5*b**v = 0?
-2, -1, 0, 1
Let p(t) = -t**5 - t**4 + t**3 + t**2 - 1. Let n(c) = -3*c**3 - 3*c**2 + 3*c. Let b(y) = -n(y) + 3*p(y). Factor b(d).
-3*(d - 1)**2*(d + 1)**3
Suppose 0 - 2/5*y**3 - 6/5*y**2 - 4/5*y = 0. What is y?
-2, -1, 0
Let j(m) = 5*m**3 - m**2 - 2*m - 2. Let x be j(-3). Let h be 30/x + (-2)/(-4). Suppose h*p + 2/7*p**2 + 0 = 0. What is p?
-1, 0
Suppose -2/21*l**4 - 2/7*l + 2/3*l**3 - 26/21*l**2 + 12/7 = 0. What is l?
-1, 2, 3
What is b in 0 + 2/3*b**5 + 0*b + 2/3*b**3 - 4/3*b**4 + 0*b**2 = 0?
0, 1
Let z(y) be the third derivative of y**5/180 + y**4/24 + y**3/9 - 2*y**2. Factor z(f).
(f + 1)*(f + 2)/3
Find r, given that 0 + 5/4*r**3 + 0*r + 15/4*r**2 = 0.
-3, 0
Let p(a) = 8*a**3 + 20*a**2 + 24*a + 16. Let c(m) = -m**3 + m - 1. Let k(x) = 4*c(x) + p(x). Factor k(l).
4*(l + 1)**2*(l + 3)
Let g(o) be the first derivative of -o**4/18 + 10*o**3/9 - 25*o**2/3 + 250*o/9 - 3. Factor g(z).
-2*(z - 5)**3/9
Let f(w) = 2*w**5 + 9*w**4 + 6*w**3 + 5*w**2 + 3. Let v(b) = 10*b**5 + 44*b**4 + 30*b**3 + 24*b**2 + 14. Let r(c) = -28*f(c) + 6*v(c). Solve r(o) = 0.
-1, 0
Suppose -3*n - 22 = -s, s = -5*n - 31 + 5. Let w(u) = -20*u**2 + 9*u + 11. Let c(b) = 21*b**2 - 9*b - 12. Let p(q) = n*w(q) - 5*c(q). Factor p(m).
3*(m - 1)*(5*m + 2)
Let z(r) be the third derivative of 3*r**2 + 1/12*r**4 + 0 - 1/60*r**5 + 0*r**3 + 0*r. Find i such that z(i) = 0.
0, 2
Let n(v) = -2*v + 0 - 2*v**3 - v**2 + 2 - 3. Let o be n(-1). Factor -m**5 + m**4 - 4*m**o + 2*m + 3*m**4 - m**5.
-2*m*(m - 1)**3*(m + 1)
Suppose 0 = -i - i - 32. Let r be 3/6*i/(-4). Determine f so that 0 + 2/3*f - 2/3*f**3 + 0*f**r = 0.
-1, 0, 1
Let x(p) be the first derivative of p**3 - p**2 + 4*p + 1. Let u(k) = -4*k**2 + 3*k - 6. Let g(n) = -5*u(n) - 7*x(n). Factor g(m).
-(m - 1)*(m + 2)
Let z(d) be the third derivative of 0*d + 0*d**3 + 0 + 1/280*d**6 + 5*d**2 + 3/140*d**5 + 0*d**4. Let z(x) = 0. Calculate x.
-3, 0
Factor 0*v**2 - 4/7*v**3 + 0*v + 0.
-4*v**3/7
Suppose -l - 4*i - 4 = 0, 5*l + 0*i = -4*i + 12. Find p, given that -3/2*p**4 + 9/4*p + 1/4*p**5 - 1/2 + 7/2*p**3 - l*p**2 = 0.
1, 2
Suppose -6*z + 6*z**3 + 3 - 3*z**4 + 319*z**2 - 319*z**2 = 0. Calculate z.
-1, 1
Let h = 2/79 - -306/395. Let x(w) be the second derivative of 1/30*w**4 + 4/15*w**3 + w + h*w**2 + 0. Find o such that x(o) = 0.
-2
Let n(z) = z**5 - 4*z**4 + 11*z**3 - 11*z**2 + 6*z - 2. Let g(m) = m**4 + m**3 - m**2 + m - 1. Let f(y) = -3*g(y) + 3*n(y). Solve f(s) = 0.
1
Let y = 29 + -29. Let w(g) be the third derivative of -1/240*g**6 + y + g**2 + 1/120*g**5 + 0*g - 1/12*g**3 + 1/48*g**4. What is m in w(m) = 0?
-1, 1
Let z be (0/(-2) - -1) + 1. Let c = 31 + -91/3. Solve -2/3*r**z + c*r**3 + 2/3*r**4 - 2/3*r + 0 = 0 for r.
-1, 0, 1
Let z(m) be the second derivative of -m**8/4200 + m**7/1050 - m**6/900 + m**3/3 - m. Let c(h) be the second derivative of z(h). Factor c(r).
-2*r**2*(r - 1)**2/5
Let y(o) be the first derivative of o**4/14 + 4*o**3/21 + o**2/7 + 10. Let y(v) = 0. Calculate v.
-1, 0
Let o(z) = -z**3 + 4*z**2 + z - 2. Let q be o(4). Let g(x) = -6*x - 51. Let d be g(-9). Factor -6/7*s**d - 8/7*s**q + 0 - 2/7*s.
-2*s*(s + 1)*(3*s + 1)/7
Let q = 33 + -15. Find n, given that 0*n**2 - q*n**3 - 20*n**4 - 2*n - 12*n**2 - 6*n**5 - 6*n**3 = 0.
-1, -1/3, 0
Let s(a) be the third derivative of a**5/570 - a**4/76 + 46*a**2. Factor s(b).
2*b*(b - 3)/19
Let s(m) = m**4 - m. Let u(h) = 2*h**5 - 10*h**4 + h**3 + 7*h. Let d(k) = 14*s(k) + 2*u(k). Suppose d(i) = 0. Calculate i.
0, 1/2, 1
Let y be (-2 + (-3)/(-2))*-2. Factor 3 + 1 + 9*j - 5*j**5 - 3 + y - 4*j**3 + 10*j**2 - 12*j**4.
-(j - 1)*(j + 1)**3*(5*j + 2)
Let d(x) be the second derivative of 3*x**7/14 - 7*x**6/5 + 39*x**5/10 - 6*x**4 + 5*x**3 - 3*x**2 + 4*x. Let c(h) = -h. Let p(v) = -3*c(v) + d(v). Factor p(a).
3*(a - 1)**4*(3*a - 2)
What is c in -8/7 + 0*c + 2/7*c**2 = 0?
-2, 2
Suppose 2*f - 9 + 1 = 0. Factor 5*x - 3*x**4 + f - 2*x**3 + 5*x**4 - 3*x - 6*x**2.
2*(x - 2)*(x - 1)*(x + 1)**2
Let b(o) be the second derivative of o**4/24 - 2*o**3/3 + 4*o**2 - 4*o. Determine l so that b(l) = 0.
4
Let a(b) be the third derivative of b**6/105 - 3*b**5/70 + b**4/42 + 8*b**2. Determine n, given that a(n) = 0.
0, 1/4, 2
Let a(r) = -r**4 + r. Let g(c) = -10*c**4 + c**3 + 4*c**2 + 5*c. Let n(v) = 6*a(v) - g(v). Determine d, given that n(d) = 0.
-1, 0, 1/4, 1
Suppose 0 = 3*g - 2*g. Let b(k) be the third derivative of -1/24*k**4 + g*k**3 - 1/60*k**5 - 2*k**2 + 0*k - 1/480*k**6 + 0. Factor b(d).
-d*(d + 2)**2/4
Let d(g) be the first derivative of 1/12*g**4 + 1/6*g**2 - 4 + 2/9*g**3 + 0*g. Factor d(n).
n*(n + 1)**2/3
Suppose 3*u = n + 1 + 3, 2*u + 3*n = 10. Suppose 7 + u = 3*r. Factor y**4 - y - 3*y + 1 + 5*y - 2*y**r + y**5 - 2*y**2.
(y - 1)**2*(y + 1)**3
Let -3*r**5 + 0*r**4 + 8*r**2 - 7*r**4 - r**4 + 12*r - 16*r**3 + 7*r**5 = 0. Calculate r.
-1, 0, 1, 3
Suppose -4*d = -3*d - 5. Suppose -6*h + 8 = -4*h. Find m, given that 3/4*m - 3/4*m**h - 1/4*m**d + 1/4 + 1/2*m**2 - 1/2*m**3 = 0.
-1, 1
Let k = -16 - -18. Factor -8*z - 5*z**2 - 2*z**3 - 3*z**3 + z**3 - 7*z**k.
-4*z*(z + 1)*(z + 2)
Determine q so that 2/5*q**5 - 6/5*q**3 + 0 + 16/5*q**2 - 4/5*q**4 - 8/5*q = 0.
-2, 0, 1, 2
Let 3/5*f**3 + 9/5*f**2 + 9/5*f + 3/5 = 0. Calculate f.
-1
Let s(d) be the second derivative of 0 + 2/3*d**3 + d + 0*d**2 + 9/10*d**5 - 4/3*d**4 + 0*d**6 - 9/56*d**7. Determine y so that s(y) = 0.
-2, 0, 2/3
Let t = -121 + 123. Factor 0 + 0*j - 2/3*j**t - 2/3*j**3.
-2*j**2*(j + 1)/3
Determine l, given that 4/5*l**4 + 0*l + 0 + 6/5*l**3 - 6/5*l**5 - 4/5*l**2 = 0.
-1, 0, 2/3, 1
Let h = -646/9 - -72. Factor 2/9*y**2 - 2/9 + h*y**3 - 2/9*y.
2*(y - 1)*(y + 1)**2/9
Suppose 0 = 4*i + t - 21, -4*i - t = -4*t - 1. Factor 3*k**3 + 2*k**3 - i*k**3 + 8*k - 7*k**3 - 8*k**2.
-2*k*(k + 2)*(3*k - 2)
Let k be (-123)/(-90) + 4/8. Let f(b) be the first derivative of 2/5*b**2 - 49/30*b**6 + 0*b - 3 - k*b**3 + 9/4*b**4 + 28/25*b**5. Suppose f(p) = 0. What is p?
-1, 0, 2/7, 1
Let w be 1/2*(0 + 0) - -5. Let z(p) be the second derivative of 1/12*p**4 - p + 1/40*p**w + 0 + 0*p**3 + 0*p**2. Suppose z(a) = 0. What is a?
-2, 0
Suppose 17*c - 18 = 16. Solve -3/5*d**c + 6/5 - 3/5*d = 0.
-2, 1
Let u = -14 + 14. Determine i, given that u + 0*i**4 + 0*i**2 + 0*i - 2/5*i**5 + 2/5*i**3 = 0.
-1, 0, 1
Let y(v) = 2*v - 2. Let o be y(2). Suppose 3*x + 11 = -o*f, 5*x - 1 = 2*f - 3