- 1/10*k**5 + 0*k**2 + 0. Solve r(p) = 0.
-1, 0, 1
Let a(x) = 4*x - 7. Let j be (-40)/(-16)*6/5. Let h be a(j). Factor -1/2*l**5 - 5/2*l**4 - 1/2 - h*l**3 - 5/2*l - 5*l**2.
-(l + 1)**5/2
Let x be ((-9)/12)/(-5*(-3)/(-8)). Factor -6/5*r**3 + 6/5*r**2 - 2/5*r + x*r**4 + 0.
2*r*(r - 1)**3/5
Let q(c) be the second derivative of -c**7/420 + c**6/80 - c**5/60 - c**2 + 4*c. Let w(z) be the first derivative of q(z). Find p such that w(p) = 0.
0, 1, 2
Let t(x) = -4*x**2 - 2*x - 2. Let p be t(-1). Let i be (-10)/p - 2/4. Factor 2/9 - 4/9*h + 2/9*h**i.
2*(h - 1)**2/9
Let c(y) = -y**4 + y**3 + 1. Let g(n) = 4*n**4 - 4*n**3 + 12*n**2 - 20*n. Let x(w) = -8*c(w) - g(w). Determine a so that x(a) = 0.
-2, 1
Find c, given that 5/2*c**2 + 0*c + 0 - 10/3*c**3 + 5/6*c**4 = 0.
0, 1, 3
Factor -1/2*t**4 - 19/2*t - 7*t**3 - 13*t**2 - 5/2 + 1/2*t**5.
(t - 5)*(t + 1)**4/2
Let x(p) = -p**2 - 8*p. Suppose -4*c - 2 - 30 = 0. Let a be x(c). Factor 4/3*w - 14/3*w**3 + 10/3*w**2 + a.
-2*w*(w - 1)*(7*w + 2)/3
Let k(i) be the second derivative of -4*i**6/75 + 2*i**5/25 - i**4/30 - 15*i. Factor k(f).
-2*f**2*(2*f - 1)**2/5
Let i(g) be the first derivative of g**6/18 - g**4/12 - 7. Suppose i(t) = 0. What is t?
-1, 0, 1
Let z(q) be the first derivative of -3*q**4/4 + 9*q**2/2 + 6*q - 9. Factor z(o).
-3*(o - 2)*(o + 1)**2
Factor 2/3 - 3*u**3 - 16/3*u**2 - 5/3*u.
-(u + 1)**2*(9*u - 2)/3
Let j be 2*(-2)/(-2) + -29. Let d = j - -163/6. Factor -1/3*p**2 - 1/6*p**5 - 1/3*p**3 + 1/2*p**4 + 1/2*p - d.
-(p - 1)**4*(p + 1)/6
Find n such that 0 + 0*n - 1/2*n**2 = 0.
0
Let d(t) = 0*t**2 - 3*t**2 - 6*t + 4*t**2 + 2. Let j be d(6). Find r, given that 5*r**3 - 3*r**3 + 0*r**2 - j*r**2 = 0.
0, 1
Let u(l) be the first derivative of l**7/105 + 4*l + 5. Let w(f) be the first derivative of u(f). Factor w(k).
2*k**5/5
Let k(l) be the third derivative of -l**9/22680 - l**8/5040 - l**7/3780 - l**4/12 + l**2. Let d(g) be the second derivative of k(g). Solve d(i) = 0.
-1, 0
Suppose 2*s - 18 = 2*d + 2, -3*s + 38 = -d. Let m = 1174/5 + -2103/10. Factor -2 + 14*r**3 - 45/2*r**2 + m*r**4 - s*r.
(r - 1)*(r + 1)*(7*r + 2)**2/2
Suppose -3*x - 4*l + 29 = 0, 2*x - 2*l + 5 = 1. Let n be (7/(-9) - -1)*x. What is h in n*h**2 + 0 + 4/3*h = 0?
-2, 0
Let s be (-9)/(-20)*5/3. Determine r, given that s*r**4 + 3/4*r**5 + 0*r + 0 + 0*r**2 - 3/2*r**3 = 0.
-2, 0, 1
Let g(c) be the first derivative of c**6/2 + 6*c**5/5 - 3*c**4/4 - 2*c**3 - 4. Solve g(j) = 0 for j.
-2, -1, 0, 1
Let d be (-38)/60 - 12/(-18). Let w(r) be the second derivative of 0 - 1/6*r**3 + d*r**6 - 1/12*r**4 + r + 1/20*r**5 + 0*r**2. Solve w(y) = 0.
-1, 0, 1
What is r in -r**2 + 2*r**3 - 3*r**2 + 4 + r + 3*r - 6*r**3 = 0?
-1, 1
Suppose -3*j + 6 + 3 = 0. Factor j + m**2 - 2*m**3 - m**2 - 2*m**2 - 1 + 2*m.
-2*(m - 1)*(m + 1)**2
Factor 1/2*y - 1 + y**3 + 5/2*y**2.
(y + 1)*(y + 2)*(2*y - 1)/2
Let v(n) = -n**3 + 7*n**2 - 5*n - 4. Let d be v(6). Factor 0*a - 2 + 2*a**3 + 6*a - 9*a**d + 3*a**2.
2*(a - 1)**3
Suppose 0 = -5*y - q + 3*q + 16, -2 = -4*y - 2*q. Let w(z) be the second derivative of -y*z + 1/18*z**4 + 0 + 0*z**3 + 0*z**2. Factor w(f).
2*f**2/3
Factor 4/5 - 4/5*j**2 + 14/5*j**3 - 14/5*j.
2*(j - 1)*(j + 1)*(7*j - 2)/5
Let g(u) = u**3 - 5*u**2 + 5*u - 2. Let s be g(4). Let w(x) be the third derivative of -1/60*x**6 + 0 + 0*x**3 + 1/12*x**4 + 0*x + 0*x**5 + 2*x**s. Factor w(v).
-2*v*(v - 1)*(v + 1)
What is p in 0 + 0*p**3 - 6/5*p**4 + 6/5*p**2 + 3/5*p - 3/5*p**5 = 0?
-1, 0, 1
Let r = -113/18 - -70/9. Solve r - 3/2*i**3 + 3/2*i - 3/2*i**2 = 0 for i.
-1, 1
Let c(f) be the third derivative of 2*f**2 - 1/70*f**7 + 0*f - 3/20*f**5 - 1/8*f**4 + 0 + 0*f**3 - 3/40*f**6. Find p such that c(p) = 0.
-1, 0
Let i(m) be the third derivative of m**6/40 + m**5/10 - 14*m**2. Suppose i(s) = 0. Calculate s.
-2, 0
Factor 0 - 1/2*y**2 + 1/3*y - 1/3*y**3.
-y*(y + 2)*(2*y - 1)/6
Let o(g) be the second derivative of -g**5/140 + g**3/14 + g**2/7 - 2*g. Solve o(c) = 0.
-1, 2
Let c(u) be the second derivative of u**6/120 - u**5/20 + u**4/12 + u**2 - 3*u. Let w(z) be the first derivative of c(z). Let w(r) = 0. Calculate r.
0, 1, 2
Suppose 9*y = 6*y - 6. Let k be y*1/(-4)*6. Let -4/9*v + 0 + 14/9*v**k - 10/9*v**5 - 2/3*v**2 + 2/3*v**4 = 0. What is v?
-1, -2/5, 0, 1
Let a(s) = -s**3 + 11*s**2 - 11*s + 12. Let i be a(10). Suppose -2*y + 5*x - i + 12 = 0, 5*y + 4*x + 8 = 0. Factor y*o - 2/3*o**2 + 2/3.
-2*(o - 1)*(o + 1)/3
Let k be (6/12)/((-9)/(-6))*9. Let f(t) be the second derivative of 1/9*t**k + t - 1/30*t**5 + 1/45*t**6 + 0*t**2 + 0 - 1/18*t**4. Let f(x) = 0. Calculate x.
-1, 0, 1
Let i = 638 + -14677/23. Let h = 5/138 - i. Solve 1/6*a**2 + h*a - 1/3 = 0.
-2, 1
Let q(i) be the first derivative of -4*i**3/3 - 10. Determine v, given that q(v) = 0.
0
Suppose -5 = -3*b + 1. Factor 8*j**3 + j**3 + 8*j**4 + b*j - 9*j**4 - 5*j**2 - 5*j**3.
-j*(j - 2)*(j - 1)**2
Factor -160*c**2 - 84*c**3 - 144 + 20*c**3 - 150*c + 498*c.
-4*(c + 4)*(4*c - 3)**2
Let j(a) be the first derivative of 1/30*a**5 - 1/2*a**2 - 1/60*a**6 + 0*a - 3 + 0*a**4 + 0*a**3. Let r(p) be the second derivative of j(p). Factor r(f).
-2*f**2*(f - 1)
Let t(u) be the third derivative of -u**8/84 - 6*u**7/35 - 16*u**6/15 - 56*u**5/15 - 8*u**4 - 32*u**3/3 + u**2 + 14*u. Factor t(b).
-4*(b + 1)*(b + 2)**4
Let g(u) = -u**3 - 3*u**2 + 3*u + 2. Let r be g(-4). Let l = 8 - r. Factor x**5 + 4*x**4 - 3*x - 3*x**4 + 1 + 4*x - 2*x**2 - l*x**3.
(x - 1)**2*(x + 1)**3
Let q(m) = -m**3 - m**2. Let a(z) = -5*z**3 - 7*z**2. Let j = -4 - 2. Let r be j/(-33) + (-18)/(-22). Let g(n) = r*a(n) - 6*q(n). Suppose g(v) = 0. Calculate v.
0, 1
Let f(x) be the second derivative of -x**5/110 + x**4/33 - 9*x. Factor f(h).
-2*h**2*(h - 2)/11
Let j(n) = 15*n**4 - 5*n**3 + 2*n**2 - 6*n + 6. Let b(k) = -k**4 - k**3 + k - 1. Let y(s) = 6*b(s) + j(s). Suppose y(v) = 0. Calculate v.
0, 2/9, 1
Let s(z) be the first derivative of 3*z**5/25 + 3*z**4/10 - 3*z**2/5 - 3*z/5 - 1. Solve s(n) = 0.
-1, 1
Factor -27/2*o - 9/2*o**2 - 27/2 - 1/2*o**3.
-(o + 3)**3/2
Let w(f) be the first derivative of -10*f**3/3 + 6*f**2 - 2*f + 5. Find q such that w(q) = 0.
1/5, 1
Suppose -2*p - 17 = 3*f + 2*p, f + 3*p + 14 = 0. Let j = 4 - f. Factor -2*x**4 - 2*x**4 + 2*x**j + 2*x**4.
-2*x**3*(x - 1)
Let z = 26 - 10. Let d be z/(-84)*(-14)/12. Factor -2/3*p - 2/3*p**4 + 2/9*p**5 + d + 4/9*p**3 + 4/9*p**2.
2*(p - 1)**4*(p + 1)/9
Factor -5 + 0*v**2 - 24*v + 3*v**2 + 18*v - 4.
3*(v - 3)*(v + 1)
Factor -3/7*w**4 - 15/7*w**3 + 0 - 24/7*w**2 - 12/7*w.
-3*w*(w + 1)*(w + 2)**2/7
Suppose 0 = -4*n + 7*n - 27. Let c = 0 + 3. Factor 10*p**4 + 2*p**2 - p**2 - 5*p**2 + c*p**3 - n*p**3.
2*p**2*(p - 1)*(5*p + 2)
Let t(f) be the second derivative of 0 + 2*f + 1/6*f**4 - 7/135*f**6 - 1/18*f**5 - 2/9*f**2 + 5/27*f**3. Determine w so that t(w) = 0.
-1, 2/7, 1
Let j(r) = -r**2 - r - 1. Let s(a) = -9*a**2 - 9*a - 8. Let d(c) = -24*j(c) + 3*s(c). Factor d(h).
-3*h*(h + 1)
Factor -4*o**2 + 2 - 3 + 2 + 3.
-4*(o - 1)*(o + 1)
Suppose 0 = 3*m + 2*w + 9, -2*m - 1 = -4*m + w. Let y be 4/(6/((-3)/m)). Factor -t**3 - 1 - t + 4*t**3 - 4*t**3 + t**y + 2*t**3.
(t - 1)*(t + 1)**2
Suppose -2 = 4*z - 5*k, -3*z = 2*z + k - 12. Solve 0*w**2 - 3*w**4 - 2*w**3 + w**4 + 2*w + w**2 + w**z = 0.
-1, 0, 1
Let p(y) = y + 6. Let w be p(-4). Let c be w/6*6/8. Determine m, given that 0 + m**4 + 3/2*m**3 + c*m + m**2 + 1/4*m**5 = 0.
-1, 0
Suppose 3*h - 6 - 6 = 0. Suppose c**h + 4*c**3 + c**5 - 2*c**3 + c**5 - 5*c**4 = 0. Calculate c.
0, 1
Let b(j) be the second derivative of -2/5*j**3 + 0 + 2*j - 1/30*j**4 - 9/5*j**2. Factor b(o).
-2*(o + 3)**2/5
Let x(c) be the second derivative of 13/45*c**5 - 7/135*c**6 + 4/9*c**2 - 3*c - 1/2*c**4 + 0 + 4/27*c**3. Let x(l) = 0. What is l?
-2/7, 1, 2
Let g be (-16)/(-30) + -15 + 132/9. Factor 2/5 - g*l + 8/5*l**4 + l**5 - 4/5*l**3 - 2*l**2.
(l - 1)*(l + 1)**3*(5*l - 2)/5
Solve -k + 0 + 1/2*k**2 = 0.
0, 2
Let b be 8/(-28) + (-116)/(-14). Let m be (-14)/b + -2 + 4. Suppose 1/2*z + 0 - m*z**2 = 0. Calculate z.
0, 2
Factor -5/7*u**2 + 1/7 + 4/7*u**4 - 3/7*u + 3/7*u**3.
(u - 1)*(u + 1)**2*(4*u - 1)/7
Let m(w) = -w**4 - w. Let q(c) = -3*c**4 - 2*c**3 + 1. Let b(i) = 2*m(i) - q(i). Let b(j) = 0. What is j?
-1, 1
Let v = 49 + -47. Let a(w) be the third derivative of -1/108*w**4 + 0 + 1/270*w**5 + 0*w + 3*w**v - 2/27