, -1/3
Let f(m) = 2*m**5 - m**4 - 3*m**3 - 3*m**2 + 3*m. Let w(q) = 6*q**5 - 4*q**4 - 8*q**3 - 8*q**2 + 8*q. Let l(d) = 8*f(d) - 3*w(d). Suppose l(t) = 0. Calculate t.
0, 2
Let c(q) be the first derivative of 2*q**3/9 + q**2/3 - 4*q/3 - 4. Suppose c(y) = 0. Calculate y.
-2, 1
Let y(l) = -11*l + 1. Let i be y(-1). Solve 56*r**5 + 29*r**5 - 198*r**4 + 36*r**2 + 69*r**3 - i*r + 0*r + 20*r**5 = 0.
-2/5, 0, 2/7, 1
Let k(q) be the first derivative of -2*q**3/21 + 2*q/7 + 2. Factor k(z).
-2*(z - 1)*(z + 1)/7
Factor -270*j**2 + 20*j + 135*j**2 + 16 + 139*j**2.
4*(j + 1)*(j + 4)
Let r(j) be the first derivative of 5*j**3 - 13*j**2/2 - 2*j - 18. Factor r(z).
(z - 1)*(15*z + 2)
Suppose 7 = 2*s - 4*f - 7, 7 = s - 4*f. Suppose s*w = 4*w - 2*o + 1, -5*o = -3*w + 29. Solve -7/2*i**w - 11/2*i - 1 - 8*i**2 = 0.
-1, -2/7
Let g = -1369 + 4298/3. Let v = g - 63. Factor 2/3*u**4 - 2/3*u**2 + v*u**3 + 0 - 2/3*u.
2*u*(u - 1)*(u + 1)**2/3
Solve -147/5 + 42/5*u - 3/5*u**2 = 0 for u.
7
Let x(d) be the third derivative of d**8/672 + d**7/70 + 7*d**6/120 + 2*d**5/15 + 3*d**4/16 + d**3/6 + 4*d**2. Solve x(t) = 0.
-2, -1
Find r such that 268*r + r**2 - 268*r - 1 = 0.
-1, 1
Factor -l**2 + 3*l**2 - l**2 + 2*l**2 + l.
l*(3*l + 1)
Let y(n) be the second derivative of 2/11*n**2 - 1/66*n**4 - 1/33*n**3 + 10*n + 0. Solve y(s) = 0 for s.
-2, 1
Suppose -u + 4 = -0*u. Factor -4*w + 2*w**4 - u*w**2 + 2*w**5 + 2*w + 2*w**4.
2*w*(w - 1)*(w + 1)**3
Let u be 1 - 55*(-4)/28. Let s = u + -296/35. Solve 2/5*m - s*m**2 + 0 = 0.
0, 1
Let o(x) be the first derivative of -2*x**3/21 - 4*x**2/7 - 8*x/7 + 11. Solve o(u) = 0 for u.
-2
Let m(f) be the third derivative of f**6/600 + f**5/60 - f**4/20 - 14*f**2. Factor m(r).
r*(r - 1)*(r + 6)/5
Let b(u) be the first derivative of 4*u**3/3 - u**2 + u - 3. Let t(o) = o + 0*o**2 - 1 - o**2 + 0. Let c(h) = -b(h) - 3*t(h). Factor c(a).
-(a - 1)*(a + 2)
Let y(i) be the second derivative of -i**6/2 - i**5/2 + 35*i**4/12 - 5*i**3/3 + i - 1. Find s, given that y(s) = 0.
-2, 0, 1/3, 1
Let i = -2704/11 + 246. Factor 2/11*x + i*x**3 + 0 - 4/11*x**2.
2*x*(x - 1)**2/11
Let z be (7/((-182)/100))/6. Let v = -4/13 - z. Factor 1/3*k**2 - v + 0*k.
(k - 1)*(k + 1)/3
Solve -40*b - 81*b**3 + 5 - 4 - 5 - 55*b**2 - 62*b**2 = 0.
-1, -2/9
Let f(l) be the second derivative of l**5/50 + l**4/30 - 2*l**3/5 + 3*l. What is y in f(y) = 0?
-3, 0, 2
Let w(u) = -2*u**2 + 26*u - 21. Let z be w(12). Let t(o) be the second derivative of -27/2*o**2 - o + 3*o**z + 0 - 1/4*o**4. Find h such that t(h) = 0.
3
Let l(u) be the first derivative of -u**6/9 + 2*u**5/5 + u**4/2 - 22*u**3/9 + 2*u**2 - 24. What is o in l(o) = 0?
-2, 0, 1, 3
Let n = 10/11 + -6/55. What is j in -2/5*j**4 + 4/5*j**2 - 2/5 - 2/5*j**5 + n*j**3 - 2/5*j = 0?
-1, 1
Suppose 0*g = 2*g - 8. Let f(z) be the second derivative of 0 + 0*z**2 - 3*z + 1/48*z**g + 0*z**3. Find j such that f(j) = 0.
0
What is g in 0*g - 4/15*g**2 + 2/15*g**3 + 2/15*g**4 + 0 = 0?
-2, 0, 1
Suppose -5*p + 11 = 4*g - 30, 0 = -3*p + 4*g - 1. Suppose p = t + 3. Determine m so that 1 + 2*m**t - 3*m + 1 - m**2 + 0*m = 0.
1, 2
Let d(i) be the second derivative of 0*i**4 - 8*i - 1/168*i**7 + 0 + 0*i**2 + 0*i**5 + 0*i**3 + 0*i**6. Solve d(n) = 0.
0
Let x(g) be the first derivative of -4/15*g**5 + 1/6*g**4 + 2/9*g**3 + 0*g + 0*g**2 + 6. Solve x(m) = 0.
-1/2, 0, 1
Let u(a) be the second derivative of -a**6/75 + a**5/25 - a**4/30 + 2*a. Factor u(o).
-2*o**2*(o - 1)**2/5
Let x be (-3)/15 - (-12)/(-40). Let w = x - -1. Solve 1/2*a**3 - 1/2 + w*a**2 - 1/2*a = 0.
-1, 1
Let d(o) be the third derivative of o**6/24 - o**5/3 + 25*o**4/24 - 5*o**3/3 - 33*o**2. Factor d(j).
5*(j - 2)*(j - 1)**2
Let j(c) be the third derivative of -c**7/525 - c**6/150 - c**5/150 + 2*c**2 - 1. Factor j(t).
-2*t**2*(t + 1)**2/5
Let o be 5/3*(-4 - -7). Suppose i = -4*a + o*i + 28, -4*i = -5*a + 30. Factor a + 2*k**2 - 5*k - k + 2*k.
2*(k - 1)**2
Let f be (3/(-15))/(2/(-4)). Determine n, given that 4/5*n**3 - f*n**5 - 4/5*n**2 + 2/5*n**4 - 2/5*n + 2/5 = 0.
-1, 1
Let t(i) be the first derivative of i**6/30 - i**5/25 - i**4/10 + 4. Determine b so that t(b) = 0.
-1, 0, 2
Suppose 0 - 1/3*p**3 - 1/3*p**2 + 2/3*p = 0. Calculate p.
-2, 0, 1
Let t(g) be the first derivative of -2 + 0*g - 1/30*g**5 + 0*g**3 - 1/24*g**4 - g**2. Let x(u) be the second derivative of t(u). Factor x(j).
-j*(2*j + 1)
Let w be (3 - 0)/(6/4). Let j(c) = c**2 + c - 1. Let r(q) = -1 - 3*q + 0 + 3 - 3*q**2. Let p(h) = w*j(h) + r(h). Determine n, given that p(n) = 0.
-1, 0
Let v(f) be the first derivative of -f**4/14 + 2*f**3/21 + 13. Let v(x) = 0. Calculate x.
0, 1
Let t(f) = -f**3 + 4*f**2 - 10*f**2 + 1 + 6*f**2. Let p(h) = 5*h**3 - 3*h**2 + 3*h - 5. Let m(r) = p(r) + 4*t(r). Factor m(z).
(z - 1)**3
Let d(s) be the third derivative of -s**5/240 + s**4/12 - s**3/2 + 40*s**2. Factor d(k).
-(k - 6)*(k - 2)/4
Let q be -9*8/6*3/(-9). Let k(f) be the first derivative of 1 - 3/4*f**q + 0*f + 0*f**2 + f**3. Factor k(u).
-3*u**2*(u - 1)
Let m(x) = -2*x**4 + 5*x**3 + 8*x**2 - 5*x. Let f(o) = -6*o**4 + 14*o**3 + 24*o**2 - 16*o. Let a(c) = 3*f(c) - 8*m(c). Solve a(y) = 0 for y.
-2, 0, 1, 2
Factor -5*t**2 + 2*t**2 + 12 - 8*t - t**2.
-4*(t - 1)*(t + 3)
Let r be ((-39)/8 + (-70)/(-14))*2. Factor -s - 1 - r*s**2.
-(s + 2)**2/4
Let o(n) be the first derivative of 49*n**3/3 + 14*n**2 + 4*n + 55. Find p, given that o(p) = 0.
-2/7
Let h(q) be the second derivative of 4*q**6/3 + 7*q**5/2 - 15*q**4/4 - 55*q**3/6 - 5*q**2 + 14*q. Determine i, given that h(i) = 0.
-2, -1/2, -1/4, 1
Suppose 3/2*f**2 - 3/4*f**4 + 0 + 3/4*f**3 + 0*f = 0. What is f?
-1, 0, 2
Factor 3*b - 3/2*b**2 - 2 + 1/4*b**3.
(b - 2)**3/4
Let r(l) be the first derivative of 1/2*l**2 + 0*l**3 - 1/72*l**4 - 1 + 0*l - 1/90*l**5. Let v(w) be the second derivative of r(w). Factor v(q).
-q*(2*q + 1)/3
Let o = -3 + 7. Let s(p) = 3*p**2 - 5*p - 3. Let k be s(o). Factor -25*w**2 - w**5 + 3*w**5 + k*w**2 - 4*w**3 + 2*w.
2*w*(w - 1)**2*(w + 1)**2
Let o = 63 - 36. Let q be 30/o*(-3)/(-5). Factor 1/3*z**2 + 0 + q*z.
z*(z + 2)/3
Factor -4/3*t**3 + 0*t**2 + 0 + 0*t - 2/3*t**4.
-2*t**3*(t + 2)/3
Let b(c) be the first derivative of c**3/27 + 2*c**2/9 + c/3 - 14. Factor b(k).
(k + 1)*(k + 3)/9
Let h(t) be the first derivative of -2*t**3/9 + 7*t**2/3 - 4*t + 37. Factor h(a).
-2*(a - 6)*(a - 1)/3
Let m(h) be the second derivative of -h**5/20 + h**4/2 - 2*h**3 - h**2 - 5*h. Let n(t) be the first derivative of m(t). Factor n(g).
-3*(g - 2)**2
Let p(a) = 11*a**2 + 21*a - 6. Let i(d) = -21*d**2 - 41*d + 11. Let k(j) = -6*i(j) - 11*p(j). Factor k(o).
5*o*(o + 3)
Let b(a) be the first derivative of 0*a**4 + 0*a**5 + 0*a**2 + 2*a + 0*a**3 + 1 + 1/135*a**6. Let v(i) be the first derivative of b(i). Factor v(h).
2*h**4/9
Let d be 2/(-9)*-3 - (-30)/9. Let w(i) be the second derivative of -2*i**2 + 5/3*i**3 + i + 1/10*i**5 - 2/3*i**d + 0. Factor w(g).
2*(g - 2)*(g - 1)**2
Suppose 5*t = -0*t + 75. Find l such that -3*l**3 + t + 3*l**2 - 15*l**4 + 15*l**3 + 3*l**5 - 24*l + 9*l**3 - 3 = 0.
-1, 1, 2
Let m(d) be the second derivative of d**4/108 - 2*d**3/27 - 5*d. Solve m(l) = 0 for l.
0, 4
Factor -1/3*t**5 - 9*t**2 + 0 + 0*t - 3*t**4 - 9*t**3.
-t**2*(t + 3)**3/3
Factor -162/5*p**2 - 72/5*p - 8/5.
-2*(9*p + 2)**2/5
Let d(g) be the first derivative of -7*g**6/120 + g**5/12 + 2*g**4/3 + 2*g**3/3 + g**2/2 + 5. Let k(v) be the second derivative of d(v). Factor k(w).
-(w - 2)*(w + 1)*(7*w + 2)
Let r be (6/(-2))/(-9) - (-1075)/150. Suppose v = -3*z - 2*v - 3, -3*v = -4*z + 31. Suppose -r*d**5 - 15/2*d + 6*d**2 - 3 + 15*d**3 - 3*d**z = 0. Calculate d.
-1, -2/5, 1
Suppose -2*y = -v - 0*v - 4, 3*y - 16 = -v. Suppose -r**y - r - 2*r**2 - 1/5*r**5 - 2*r**3 - 1/5 = 0. What is r?
-1
Let f(d) = -d**2 + d + 1. Let y be f(0). Let b(o) = -o**2 + o. Let m(s) = -7*s**2 - 13*s - 4. Let w(v) = y*m(v) - b(v). Factor w(r).
-2*(r + 2)*(3*r + 1)
Let f(o) = -o**3 + 2*o**2 + 2*o. Let l = 3 - 1. Let h be f(l). Factor -v**2 + 10*v**h + 18*v**3 + 4*v + 2*v**5 + 0*v**4 + 15*v**2.
2*v*(v + 1)**3*(v + 2)
Let u be 3*4/18 + 40/(-96). Let f = 21/10 - 8/5. Factor 1/4 + u*x**2 - f*x.
(x - 1)**2/4
Suppose 2*o + 2 = -6. Let n = o + 6. Find w such that 6*w**4 - 4*w**n - 2 - 3*w**5 + 5*w**5 - 6*w + 4*w**3 + 0*w = 0.
-1, 1
Factor -2/3*t**4 - 2*t**3 + 0 + 2*t + 2/3