, 1
Let i = 6 - 3. Suppose -3*c - 3*y = i, -10 = -c - c + 2*y. Factor -2*m**2 - c*m + 43 - 43.
-2*m*(m + 1)
Let f = -13 + 16. Suppose -2*u = f*u - 20. Find y, given that 0 - 3/2*y**u + 0*y**2 + 0*y + 1/3*y**3 + 7/6*y**5 = 0.
0, 2/7, 1
Let x = -16 + 9. Let f = 10 + x. Let 2*m**3 + m - f*m**3 + 0*m = 0. What is m?
-1, 0, 1
Let z(g) be the first derivative of -3*g**5/5 - 3*g**4 - 3*g**3 + 6*g**2 + 12*g + 7. Find b such that z(b) = 0.
-2, -1, 1
Suppose -r = -2*r. Suppose 4*b - 3*p + 3 = 0, -b + 2*b - 3*p + 3 = r. Determine n so that 2/5*n**3 - 2/5*n**2 - 2/5*n + b + 2/5*n**4 = 0.
-1, 0, 1
Let m be (-4)/((-2)/2) - 1. Suppose 2*k**2 - 2 - m*k**2 - k**2 - 4*k = 0. What is k?
-1
Suppose -4*n + 3*u + 29 = 0, 0 = -2*n + 5*u - 3*u + 16. Suppose -11 = -5*p + 2*x - 3*x, -n*x - 17 = p. Solve -4/7 + 0*t**2 + 6/7*t - 2/7*t**p = 0 for t.
-2, 1
Let m(f) be the second derivative of -1/4*f**4 + 0 + 0*f**2 + 3/20*f**5 - 1/2*f**3 + 7*f + 1/10*f**6. Suppose m(v) = 0. What is v?
-1, 0, 1
Factor -2/3*w**4 - 1/6*w**2 - 2*w + 2*w**3 - 2/3.
-(w - 2)**2*(2*w + 1)**2/6
Solve 20*t**3 + 14*t**2 - t + 7*t**2 + 7*t**2 + 13*t + 4*t**4 = 0.
-3, -1, 0
Let v be 1/(-8) + 1090/8400. Let j(y) be the third derivative of 0*y**4 + 0 + y**2 - 1/240*y**6 + 0*y**5 - 1/672*y**8 + 0*y**3 - v*y**7 + 0*y. Factor j(o).
-o**3*(o + 1)**2/2
Let y be ((-42)/49)/((-2)/294). Let f be 16/56 - (-76)/y. Suppose -8/9*m + 2/9 + f*m**2 = 0. What is m?
1/2
Let q(x) = 7*x**3 + 9*x**2 + 9*x + 1. Let t(h) = -14*h**3 - 19*h**2 - 18*h - 2. Let d(a) = -11*q(a) - 6*t(a). Find s such that d(s) = 0.
-1, -1/7
Suppose -2*c = -0*c - 4. Factor -13*r**c - 6*r**4 + 2*r**3 + 15*r**2 + 2*r**3.
-2*r**2*(r - 1)*(3*r + 1)
Let b(y) be the second derivative of -y**7/7560 + y**6/540 - y**5/90 + y**4/4 + 4*y. Let h(o) be the third derivative of b(o). Solve h(g) = 0 for g.
2
Suppose -n - 30 = -5*c - 3*n, 0 = 2*n + 10. Factor 2*z**3 - 2*z**2 + 4*z**2 - 3 + c - 7 - 2*z.
2*(z - 1)*(z + 1)**2
Let x(v) = v + 16. Let d be x(-13). Let -5*o**5 + d*o**3 + 2*o**2 + 2*o**5 + 0*o**2 - 5*o**2 + 3*o**4 = 0. What is o?
-1, 0, 1
Factor -3*k**3 + 7*k**2 - 5 - 2*k**3 - 2*k**2 + 5*k.
-5*(k - 1)**2*(k + 1)
Let g(j) = -j**5 + 5*j**4 + 4*j**3 - 2*j**2 - 5*j - 3. Let h(o) = 3*o**5 - 11*o**4 - 9*o**3 + 4*o**2 + 11*o + 7. Let i(d) = 10*g(d) + 4*h(d). Factor i(f).
2*(f - 1)*(f + 1)**4
Let s(d) be the first derivative of d + 0*d**2 - 1 - 1/3*d**3. Solve s(w) = 0 for w.
-1, 1
Let n(x) = -x**3 - 5*x**2 - 2*x - 6. Let k be n(-5). Solve 3*c + 3*c**3 + c**2 - k*c**3 + 5*c**3 - 7*c**3 + c**4 - 2 = 0 for c.
-1, 1, 2
Let n(h) be the second derivative of h**8/2240 + h**7/840 + h**6/1440 - h**3/6 - 5*h. Let j(q) be the second derivative of n(q). Find w such that j(w) = 0.
-1, -1/3, 0
Let l(t) be the first derivative of 0*t**2 - 4 - 1/5*t**3 + 3/5*t. Suppose l(g) = 0. Calculate g.
-1, 1
Let n(d) be the second derivative of 2*d**4 + 11*d**3/3 + 2*d**2 + 10*d. Let n(f) = 0. What is f?
-2/3, -1/4
Let c = 37 + -62. Let z = -23 - c. Factor d**z - 3/2*d + 3/2*d**3 - 1.
(d - 1)*(d + 1)*(3*d + 2)/2
Suppose 4*v + 0*v = 0. Suppose -4*b - 3*x - 7 = v, -4*x + 2*x - 16 = -3*b. Factor -2 - 1/2*i**2 - b*i.
-(i + 2)**2/2
Let d(v) = -v**4 - v**2 + v - 1. Let g(h) = -3*h**5 - 3*h**4 - 3*h**3 + 7*h**2 - 2*h + 4. Let x(q) = -4*d(q) - g(q). Solve x(u) = 0 for u.
-1, 0, 2/3
Let h(b) be the third derivative of 25*b**8/2184 + 5*b**7/273 - b**6/195 - 2*b**5/195 + 2*b**2. Determine d so that h(d) = 0.
-1, -2/5, 0, 2/5
Let l(j) be the first derivative of -j**4/54 + j**3/9 - 2*j**2/9 - 2*j + 1. Let r(y) be the first derivative of l(y). Factor r(o).
-2*(o - 2)*(o - 1)/9
Let u(x) = -x**2 + 6*x - 3. Let k be u(5). Determine c, given that -2*c**3 + c**3 - 36*c**k - 27*c - 6 - 10*c**3 - 4*c**3 = 0.
-1, -2/5
Find f, given that 1/6*f**2 - 2/3 + 2/3*f - 1/6*f**3 = 0.
-2, 1, 2
Let c(m) be the third derivative of -1/6*m**3 - 19/480*m**6 + 5*m**2 - 3/280*m**7 + 1/8*m**4 + 0*m + 0 + 1/192*m**8 + 13/240*m**5. Solve c(x) = 0 for x.
-1, 2/7, 1, 2
Let s(i) = 11*i**2 - 17*i. Let c(b) be the third derivative of 9*b**5/20 - 7*b**4/4 + 5*b**2. Let m(f) = -5*c(f) + 12*s(f). Factor m(x).
-3*x*(x - 2)
Suppose 0 = 2*x - 3*o + 9, -2 = -2*o - 4. Let k be (2/x)/((-3)/27). Let 4*r - r**3 - 5*r**k - 10*r**2 - 8*r**3 = 0. Calculate r.
-1, 0, 2/7
Factor -2/3*y**3 + 0*y + 0 + 2*y**2.
-2*y**2*(y - 3)/3
Let a(b) be the first derivative of 16*b**6/27 + 16*b**5/45 - 7*b**4/18 + 2*b**3/27 - 16. What is k in a(k) = 0?
-1, 0, 1/4
Let r(x) be the second derivative of x**4 - 3*x**3/2 - 3*x**2/2 - 13*x. Let r(j) = 0. Calculate j.
-1/4, 1
Let p(i) be the second derivative of 0 + 1/48*i**4 + 0*i**2 + 0*i**3 + 1/80*i**5 - 2*i. Find f, given that p(f) = 0.
-1, 0
Let i(a) be the third derivative of -a**7/70 - 2*a**6/15 - 29*a**5/60 - 5*a**4/6 - 2*a**3/3 + 27*a**2. Suppose i(u) = 0. What is u?
-2, -1, -1/3
Let k(g) be the third derivative of g**6/1020 - g**5/255 + g**4/204 - 22*g**2. Determine x so that k(x) = 0.
0, 1
Let g(r) be the second derivative of 2*r**6/75 - 3*r**5/50 - 3*r**4/10 - r**3/15 + 3*r**2/5 + 22*r. What is h in g(h) = 0?
-1, 1/2, 3
Find d, given that 4/11*d**3 - 4/11*d**2 - 2/11 - 6/11*d + 6/11*d**4 + 2/11*d**5 = 0.
-1, 1
Let i(q) be the third derivative of q**7/21 + 9*q**6/20 + 5*q**5/6 - 13*q**4/4 - 6*q**3 - 27*q**2. Let i(o) = 0. What is o?
-3, -2/5, 1
Solve 0*m + 0*m**2 + 3/4*m**3 - 3/4*m**4 + 0 = 0.
0, 1
Let a(c) = -8*c**3 + c**4 + c**3 + 0*c**2 + c + 8*c**3 - c**2. Let b(j) = 27*j**5 + 23*j**4 - 22*j**3 - 24*j**2 - 12*j. Let l(f) = -4*a(f) - b(f). Factor l(z).
-z*(z - 1)*(3*z + 2)**3
Suppose 3*h = -h + 16. Factor -3*v**2 + v**2 - 6 + 7 + v**h.
(v - 1)**2*(v + 1)**2
Let c = -1078 - -1080. Suppose 8/9*m**3 - 2/9*m**4 + 8/9*m - 4/3*m**c - 2/9 = 0. What is m?
1
Let o(i) = i**2 + 2*i. Let c be o(-3). Let x(m) = 3*m - 1. Let d be x(1). Factor -4*a**d + 6*a + c*a**2 + 2 - 3 - 4*a.
-(a - 1)**2
Solve -17/5*j**2 - 7/5*j**3 - 9/5*j**5 + 16/5*j - 4/5 + 21/5*j**4 = 0 for j.
-1, 2/3, 1
Let c(x) be the second derivative of -4*x**7/21 - x**6 - 4*x**5/5 + 19*x**4/6 + 4*x**3 - 4*x**2 + 13*x. Solve c(h) = 0.
-2, -1, 1/4, 1
Let w be 5 + -3*6/18. Factor 4/5 + w*h + 21/5*h**2.
(3*h + 2)*(7*h + 2)/5
Suppose 5*p - 3*p = 6. Suppose 4*h - 8*h + 0*h + 4*h**p + 0*h**3 = 0. What is h?
-1, 0, 1
Let k(t) be the second derivative of -t**6/45 - t**5/10 + 4*t**3/9 + 7*t. Suppose k(i) = 0. Calculate i.
-2, 0, 1
Let d = 4075/4 - 1012. Solve 13/4*n + 7/4*n**4 + 23/4*n**3 + 1/2 + d*n**2 = 0.
-1, -2/7
Suppose 5*r + 6 - 10 + 4 + 5*r**2 = 0. Calculate r.
-1, 0
Factor -8*n**2 - 192*n**3 + 188*n**3 + 8*n**2.
-4*n**3
Let l(c) be the second derivative of -16/15*c**3 - 2*c + 0 + 2/5*c**4 - 2/25*c**5 + 1/150*c**6 + 8/5*c**2. Factor l(x).
(x - 2)**4/5
Let g(f) = -2*f - 12. Let q be g(-6). Factor q*j**5 + 2*j + 2*j**5 - 3 + 3 - 4*j**3.
2*j*(j - 1)**2*(j + 1)**2
Let r(d) be the first derivative of -3 + 1/6*d**2 + 1/9*d**3 + 0*d. What is o in r(o) = 0?
-1, 0
Suppose -5*z - 70 = 3*n, -5*z = -4*n + 36 + 69. Let k be (-7)/(-3) - z/51. Solve -2/3*l**2 - k*l - 8/3 = 0.
-2
Factor -z**2 + 1/3*z**3 + z - 1/3.
(z - 1)**3/3
Let f(o) be the first derivative of 2/3*o**3 + 0*o - 1 + 2/3*o**2 + 1/6*o**4. Factor f(j).
2*j*(j + 1)*(j + 2)/3
Let d(i) = i**2 + 2. Let a be d(0). Let w(u) be the first derivative of -2*u + 2/3*u**3 + 0*u**2 - a. Suppose w(y) = 0. Calculate y.
-1, 1
Suppose -2*m = 5*u - 16, 2*m + 4*u - 11 = m. Factor -m*n**2 - 6 + 0 + 5*n**2 - 2.
2*(n - 2)*(n + 2)
Let i be -2 - (-5)/(15/9). Suppose 5*w - i = 14. Factor -1/5*u**2 - 1/5*u**w + 1/5 + 1/5*u.
-(u - 1)*(u + 1)**2/5
Factor -58*q**4 + 41*q**4 + 5*q**5 + 37*q**4 + 0*q**5 + 10*q**2 + 25*q**3.
5*q**2*(q + 1)**2*(q + 2)
Let x be ((-9)/(-4))/(15/80). Let -4*g**2 + 75*g**5 + 42*g**4 + 23*g**5 - 48*g**3 + x*g**2 = 0. What is g?
-1, 0, 2/7
Let i(f) be the third derivative of -f**6/48 - f**5/24 + 5*f**4/12 + 5*f**3/3 + 20*f**2. Factor i(y).
-5*(y - 2)*(y + 1)*(y + 2)/2
Let k be (-3)/14*(-1)/((-6)/(-8)). Let g = -26/9 - -200/63. Find a, given that k*a**2 + 2/7*a**3 - 2/7*a - g = 0.
-1, 1
Factor 0 + 0*r + 2/11*r**2.
2*r**2/11
Find h such that -1/4*h**2 - 1 - h = 0.
-2
Let m(c) be the first derivative of -c**6/180 - c**5/20 - c**4/6 - c**3/3 + 3. Let v(w) be the third derivative of m(w). Factor v(d).
-2*(d + 1)*(d + 2)
Let