+ 2*k**3 + 3*k**2 - 5*k + 3. Let u(p) = c*o(p) + i(p). Factor u(w).
-(w - 1)**3*(w + 2)
Let x be (21/168)/((-1)/(-2)). Let a(z) be the third derivative of 2*z**2 - 1/20*z**6 - 1/70*z**7 + 0*z + 1/2*z**3 + 0 + 0*z**5 + x*z**4. Solve a(h) = 0 for h.
-1, 1
Let j(l) = -14*l - 10. Let b(p) = -p + 1. Let n(f) = -21*b(f) + 3*j(f). Let h(t) = t**2 + 22*t + 50. Let q(v) = 3*h(v) + 2*n(v). Factor q(m).
3*(m + 4)**2
Let s = 156401/136 + -1150. Let q = 277/680 - s. Find n such that q*n**4 - 2/5*n - 2/5*n**2 + 2/5*n**3 + 0 = 0.
-1, 0, 1
Solve -4 - 3*a - 10*a**2 + 4 - 3*a**3 + 4*a**2 = 0 for a.
-1, 0
Let h = 23 - 16. Let u = -5 + h. Let 2*b - u + 8 - b + 2*b - 3*b**2 = 0. What is b?
-1, 2
Let d(k) be the first derivative of k**3/18 + 7*k**2/12 - 4*k/3 + 31. Determine b, given that d(b) = 0.
-8, 1
Let m be -3*(0 + (-16)/12). Suppose -21*d**3 + 21*d**2 + 5*d + 2*d**4 - 11*d + m*d**4 = 0. What is d?
0, 1/2, 1, 2
Factor -6/17*j - 4/17 + 10/17*j**2.
2*(j - 1)*(5*j + 2)/17
Let y(o) be the first derivative of 0*o**2 - 3 + 0*o + 0*o**4 - 1/6*o**6 + 0*o**3 - 1/5*o**5. Factor y(s).
-s**4*(s + 1)
Let j = -674/45 + 76/5. Find i such that j*i**2 - 4/9 - 2/9*i = 0.
-1, 2
Let d = 6 - 6. Find o, given that -2*o**2 + d*o**3 - 2*o**3 + 0*o**3 + 0*o**2 = 0.
-1, 0
Factor 4 + 1/4*v**2 + 2*v.
(v + 4)**2/4
Let c = -6 + 6. Suppose x + 2 = -4*r, 3*x = -c*r - 2*r + 4. What is b in -2*b + b - b**3 - 2*b**2 + 0*b**x = 0?
-1, 0
Suppose -8 = 4*u + 4, -4*v = -3*u - 25. What is x in 0*x**3 - 4*x + 3*x**4 - x**v + 0*x**3 - 6*x**2 = 0?
-1, 0, 2
Let s = -47/1290 + 3/43. Let h(q) be the second derivative of 2/25*q**5 + 0 + 4*q + 0*q**3 - 1/25*q**6 - s*q**4 + 0*q**2. Find l, given that h(l) = 0.
0, 1/3, 1
Let g(l) be the third derivative of 0*l + 0 - 1/8*l**4 + 0*l**3 - 3*l**2 - 1/20*l**5. Solve g(d) = 0.
-1, 0
Suppose 187*t**3 - 8*t - 4*t + 12*t**2 - 190*t**3 = 0. Calculate t.
0, 2
Solve -8 - 5*d**3 - 17*d**4 + 6*d**2 + 4*d + 5*d**4 + 13*d**4 = 0 for d.
-1, 2
Let b(a) be the first derivative of 4*a**3/3 - a**2/2 - a - 10. Let c be b(-1). Suppose 1/3*p**3 - 1/3*p**2 - 1/3*p + 0 + 1/3*p**c = 0. What is p?
-1, 0, 1
Let w(a) be the first derivative of -4*a**2 + 2 - 2/3*a**3 - 6*a. Factor w(h).
-2*(h + 1)*(h + 3)
Let q(j) be the third derivative of -j**8/16 - 9*j**7/70 - j**6/20 - 13*j**2. Solve q(z) = 0 for z.
-1, -2/7, 0
Let s(k) be the first derivative of -25*k**6/6 + 14*k**5 - 69*k**4/4 + 28*k**3/3 - 2*k**2 - 3. Factor s(z).
-z*(z - 1)**2*(5*z - 2)**2
Suppose 4*r = 42 + 2. Factor -11 - 2*p**3 + r.
-2*p**3
Let o(v) be the third derivative of v**5/24 + 5*v**4/24 + 5*v**3/12 + 7*v**2. Factor o(p).
5*(p + 1)**2/2
Suppose 2*o = 5*l + 21, 0*l - 4*l - 12 = 0. Determine g so that -1/4 + 1/4*g + 1/4*g**2 - 1/4*g**o = 0.
-1, 1
Let t(v) = v**2 - 2*v + 1. Let l(h) = -2*h**3 + 16*h**2 - 18*h + 4. Let u(i) = l(i) - 4*t(i). Factor u(x).
-2*x*(x - 5)*(x - 1)
Let i(k) be the second derivative of k**7/14 + 3*k**6/10 + 3*k**5/10 - k**4/2 - 3*k**3/2 - 3*k**2/2 + 7*k. Factor i(o).
3*(o - 1)*(o + 1)**4
Let l = 9 + -3. Factor 6*n + l - 2 + 8*n - 4*n + 2*n**3 + 8*n**2.
2*(n + 1)**2*(n + 2)
Let 2/17*t**3 - 14/17*t + 4/17*t**2 + 8/17 = 0. Calculate t.
-4, 1
Let b(w) = w**3 + w**2 - w. Let x(u) = 3*u**3 - 4*u**2 + 10*u - 8. Let s(r) = 2*b(r) - x(r). Determine m so that s(m) = 0.
2
Let s = -7 - 1. Let w be 3/(-2)*s/6. Let -p + 1 + p**5 + 10*p**w + 6*p + 6*p**4 + 10*p**3 - p**4 = 0. What is p?
-1
Suppose 2 - 4 = -n. Suppose 0 = n*l - 3*s + 4*s - 1, 3*l = -2*s. Let -v**4 - v**4 + 3*v**3 - 2*v**l + v**3 = 0. What is v?
0, 1
Let a = 388 - 388. Determine r so that -6*r - 3/2*r**3 + 6*r**2 + a = 0.
0, 2
Let z be 4/(-84)*(46/(-20) + 2). Let p(j) be the second derivative of 3*j - z*j**5 + 0*j**6 + 0 + 0*j**3 + 0*j**4 + 0*j**2 + 1/147*j**7. What is r in p(r) = 0?
-1, 0, 1
Let n(x) = x**2 + 2*x - 2. Let y be n(1). Let h(c) be the first derivative of y + 1/4*c**2 + 1/3*c**3 - 1/8*c**4 - c. Factor h(a).
-(a - 2)*(a - 1)*(a + 1)/2
Let o be (2/6)/(90/27). Let b(t) be the second derivative of 0*t**2 + t + 0 + 1/3*t**4 - 1/3*t**3 - o*t**5. Suppose b(x) = 0. What is x?
0, 1
Let k be (-2)/23 + 37/((-22977)/(-468)). Solve -2/3*h**2 + k*h**3 - 2/3*h + 2/3 = 0.
-1, 1
Suppose u + 2*t = -3*t + 4, 5*u + 4*t - 104 = 0. Let z be u*-2*3/(-18). Factor -z*a**3 + 3*a**5 + 5*a**3 - 2*a**4 + 2*a**2 + 0*a**2.
a**2*(a - 1)*(a + 1)*(3*a - 2)
Factor -3*v - v + 4*v**2 + 0*v + 8*v**3.
4*v*(v + 1)*(2*v - 1)
Suppose -5*p = -2*s - s + 44, 4*s = -2*p - 28. Let u(h) = h**2 - 1. Let m(t) = -22*t**2 - 2*t + 12. Let b(j) = p*u(j) - m(j). Let b(a) = 0. What is a?
-1/2, 1/3
Let g(q) be the first derivative of -1 + 1/2*q**2 + 0*q - 2/3*q**3. Determine u so that g(u) = 0.
0, 1/2
Let v(b) be the first derivative of 21*b**4/2 + 3*b**3 - 3*b**2 - 49. Factor v(k).
3*k*(2*k + 1)*(7*k - 2)
Let g(l) = 2*l**5 - 3*l**4 + l**3 + 3*l**2 - 3*l - 3. Let y(q) = -5*q**5 + 6*q**4 - 2*q**3 - 6*q**2 + 7*q + 7. Let m(c) = -7*g(c) - 3*y(c). Solve m(n) = 0.
-3, -1, 0, 1
Let b(f) be the third derivative of -f**7/70 - f**6/20 - f**5/20 - 6*f**2. Factor b(v).
-3*v**2*(v + 1)**2
Let n be (-6)/(-4) + 1/2. Suppose -5*u - 3*p = -0*u - 16, -3*u + 4*p = n. Solve v - 18*v**u + 6 - 4*v - 2 - 11*v = 0 for v.
-1, 2/9
Let u = 22 + -14. Suppose -u + 4 = -b. Factor 1/5*x**b + 0*x + 0 - 1/5*x**3 - 2/5*x**2.
x**2*(x - 2)*(x + 1)/5
Let c be 12*(-4 - -2 - -3). Suppose -6*p + c = -2*p. Factor 4*z + p*z**2 + 0 - 5*z**2 - 2.
-2*(z - 1)**2
Let y(t) be the first derivative of t**4/12 - 2*t**3/9 + 3. Factor y(x).
x**2*(x - 2)/3
Let s(a) be the first derivative of -1 - a + 2/3*a**3 + 0*a**2 - 1/5*a**5 + 0*a**4. Factor s(u).
-(u - 1)**2*(u + 1)**2
Let h = 3 + -4. Let n(v) = 6*v**4 + 2*v**3 - 2*v**2 + 2*v. Let s(p) = p**5 + p**4 + p**3 + p**2. Let f(o) = h*n(o) + 2*s(o). Factor f(d).
2*d*(d - 1)**3*(d + 1)
Let o(t) be the second derivative of 1/6*t**4 - 1/30*t**5 - 1/15*t**6 + 2/9*t**3 + 0 + 0*t**2 + 7*t - 1/63*t**7. Determine h so that o(h) = 0.
-2, -1, 0, 1
Factor 1/2 + 7/2*z + 15/2*z**2 + 9/2*z**3.
(z + 1)*(3*z + 1)**2/2
Let v(m) be the second derivative of m**8/1680 - m**7/280 + m**6/180 - 2*m**3/3 + 9*m. Let l(i) be the second derivative of v(i). Let l(z) = 0. What is z?
0, 1, 2
Let n(b) be the second derivative of b**6/270 + b**5/30 + b**4/36 - 5*b**3/27 - 75*b. Factor n(k).
k*(k - 1)*(k + 2)*(k + 5)/9
Solve -2*b + 5*b + 3*b**5 + 18*b**3 - 12*b**4 + 4*b**2 - 16*b**2 = 0.
0, 1
Solve 0*w + 0*w**2 + 3/4*w**3 + 3/4*w**4 + 0 = 0.
-1, 0
Let j(w) = -w**3 - 4*w**2 - w - 2. Let n be j(-4). Let k = 0 - 0. Solve 0*q + 6/5*q**n + 3/5*q**3 + k = 0 for q.
-2, 0
Factor 2/3*q**2 + 8/3 - 8/3*q.
2*(q - 2)**2/3
Suppose 2 + 18 = 10*x. Let w(u) be the first derivative of -1/3*u**6 + 0*u**x + 3 + 2/5*u**5 + 1/2*u**4 + 0*u - 2/3*u**3. Determine k so that w(k) = 0.
-1, 0, 1
Suppose 3*k = 8*k - 15. Let f(o) be the first derivative of -2*o**4 + 11/3*o**3 - k - o**2 - 21/5*o**5 + 0*o. Suppose f(g) = 0. What is g?
-1, 0, 2/7, 1/3
Let n = -5 + 10. Find i, given that 4*i**3 - 4*i**5 + 0*i**5 + 0*i**n + 2*i**5 - 2*i = 0.
-1, 0, 1
Let z(i) be the second derivative of i**4/72 + 5*i**3/18 + 25*i**2/12 + 12*i. Factor z(j).
(j + 5)**2/6
Let v(t) = t**2 + t - 1. Let z(a) = 2*a**2 + 15*a - 14. Let b(y) = -3*y**2 - 14*y + 13. Let r(l) = -4*b(l) - 3*z(l). Let h(i) = -2*r(i) + 14*v(i). Factor h(w).
2*(w - 3)*(w - 1)
Let h(g) be the third derivative of g**6/60 - 6*g**2. Factor h(l).
2*l**3
Let c(d) = -d**2 - 13*d - 20. Let f be c(-11). Let o = 2 - -1. Factor -o + m**f + 3 - m.
m*(m - 1)
Let l(o) be the first derivative of -3*o**4/4 + o**3 + 3*o**2/2 - 3*o + 22. Suppose l(d) = 0. Calculate d.
-1, 1
Let s be (-3)/1 + (19 - 13). Suppose -1/6*w - 1/3*w**2 + 1/3 + 1/6*w**s = 0. Calculate w.
-1, 1, 2
Let m be 10/30 - (4 + -5). Let m*x**3 + 0 + 0*x + 8/3*x**2 = 0. Calculate x.
-2, 0
Let g(t) be the second derivative of -t**9/37800 - t**8/16800 + t**4/4 - 2*t. Let i(m) be the third derivative of g(m). Factor i(n).
-2*n**3*(n + 1)/5
Let n(c) be the first derivative of c**6/30 + 3*c**5/25 + 3*c**4/20 + c**3/15 - 2. Factor n(w).
w**2*(w + 1)**3/5
Let m(l) = 8*l**4 - 34*l**2 + 36*l - 10. Let t(q) = -25*q**4 + q**3 + 102*q**2 - 107*q + 29. Let y(h) = 7*m(h) + 2*t(h). Factor y(w).
2*(w - 1)**2*(w + 3)*(3*w - 2)
Suppose d + 42 = 2*d. Let n be d/20 + 5/(-10). Facto