 m.
2*m*(m - 1)
Let l = -4 + 6. Let r(b) be the first derivative of -2 + 1/14*b**4 + 8/7*b**l + 10/21*b**3 + 8/7*b. Let r(y) = 0. Calculate y.
-2, -1
Suppose 0*g - g - 5*a = -30, 20 = 4*a. Suppose 8 = g*q - q. What is t in 2/3 + 0*t - 2/3*t**q = 0?
-1, 1
Let y(m) = -2*m**2 - m + 1. Let g(j) = -3*j**2 - 3*j + 3. Let h(i) = 6*g(i) - 10*y(i). Solve h(t) = 0.
2
Let r be (-3)/1 - (-7 + 3). Let t(k) be the first derivative of -k - 1/6*k**6 - 2/3*k**3 + 3/5*k**5 - 1/2*k**4 - r + 3/2*k**2. Factor t(c).
-(c - 1)**4*(c + 1)
Let b(z) be the third derivative of z**7/2520 + z**6/720 - z**4/6 + z**2. Let a(c) be the second derivative of b(c). Let a(v) = 0. What is v?
-1, 0
Let x be (-19)/(-7) - (-3)/(126/12). Factor 0*h**x + 0*h + 0 + 1/4*h**4 + 0*h**2.
h**4/4
Let m(h) = -5*h - 2. Let p be m(-1). Let z(g) = -2*g + 6. Let i be z(p). Factor -1/4*t**5 - 1/4*t**4 + 1/4*t**3 + i*t + 1/4*t**2 + 0.
-t**2*(t - 1)*(t + 1)**2/4
Let f(i) be the first derivative of i**4/4 + i**3 + 3*i**2/2 + i + 3. Suppose f(p) = 0. What is p?
-1
Let o(q) = -q**3 - 6*q**2 - q - 4. Let v be o(-6). Suppose v - 6*u - 3*u**2 - 2 - 3 = 0. Calculate u.
-1
Suppose 0 = -2*d + 3 + 1. Let v(w) = 3*w - 3. Let r be v(d). Let -4*f + f**r + 3*f + f**2 + 0*f - 1 = 0. What is f?
-1, 1
Solve -200/3*l**4 - 80/3*l**5 - 5/3 + 25/3*l**2 + 25/3*l - 125/3*l**3 = 0.
-1, 1/4
Let g = 1 - -1. Suppose -5*r + 2*r**g + r - 2 + 2*r + 2*r**3 = 0. What is r?
-1, 1
Suppose -68*o = -63*o - 10. Factor 0 + 6/5*j - 21/5*j**o.
-3*j*(7*j - 2)/5
Suppose 2*d - 6*d = -12. Let 4 + 8*m + 0*m**3 + 8*m**2 + 3*m**d - 2*m**3 - 3*m**2 = 0. What is m?
-2, -1
Let s(v) be the first derivative of -5*v**4/4 - 10*v**3/3 - 5*v**2/2 + 16. Factor s(p).
-5*p*(p + 1)**2
Let y = 667 - 2000/3. Factor 4/3 - y*u**2 + 0*u.
-(u - 2)*(u + 2)/3
Let v(n) = 2*n**2 + 2*n + 4. Let m be v(5). Determine h so that -14*h + 4*h**2 + m + 27*h + 19*h = 0.
-4
Let y(t) be the first derivative of t**8/1680 - t**7/280 + t**6/180 + 5*t**3/3 - 3. Let h(n) be the third derivative of y(n). Factor h(v).
v**2*(v - 2)*(v - 1)
Let j(n) be the first derivative of 3*n**4/16 - n**3 + 15*n**2/8 - 3*n/2 - 29. Factor j(c).
3*(c - 2)*(c - 1)**2/4
Let h(v) = -v**3 + 5*v**2 + 15*v - 7. Let g be h(7). Solve 1/3*m**4 - 1/3*m**2 + 0*m**3 + 0*m + g = 0 for m.
-1, 0, 1
Let h(t) = -6*t**3 + t**2 + 19*t - 8. Let d(u) = 5*u**3 - 18*u + 8. Let p(f) = 7*d(f) + 6*h(f). Suppose p(m) = 0. What is m?
2
Suppose 10*n - 5*n - 5 = 0. Let u be 0/3 + n/3. Determine b, given that 0*b**2 - 1/3*b - u*b**5 + 0 + 2/3*b**3 + 0*b**4 = 0.
-1, 0, 1
Let t(k) be the first derivative of -k**3 + 3*k**2 - 3*k + 12. Determine q so that t(q) = 0.
1
Determine m so that 688/7*m**3 + 256/7*m**5 - 704/7*m**4 - 4/7 - 292/7*m**2 + 8*m = 0.
1/4, 1
Find g such that -4/7 + 4/7*g**2 + 2/7*g**3 - 2/7*g = 0.
-2, -1, 1
What is g in -g - 3/4 + g**3 + 1/2*g**2 + 1/4*g**4 = 0?
-3, -1, 1
Let -12/7*r - 108/7*r**4 - 12*r**2 + 0 - 171/7*r**3 = 0. What is r?
-2/3, -1/4, 0
Let r(t) be the first derivative of -t**4/6 + 4*t**3/3 - 4*t**2 + 16*t/3 + 1. Suppose r(g) = 0. Calculate g.
2
Let t(m) be the first derivative of m**5/80 + m**4/48 - m**3/24 - m**2/8 + 2*m + 2. Let z(v) be the first derivative of t(v). Solve z(d) = 0 for d.
-1, 1
Factor 2 - 6*q**3 - 2 + 4*q**3 + 2*q**2.
-2*q**2*(q - 1)
Let s be (-8)/(-6)*5/(10/3). Let u(d) be the first derivative of 3/5*d**5 + 1/6*d**6 + 1/3*d**3 + 0*d + 0*d**2 + 3/4*d**4 - s. Factor u(x).
x**2*(x + 1)**3
Let n be (-2 - -7)*(3 - (-2 - -4)). Let m(c) be the first derivative of 4*c**2 + c**4 - 2/15*c**n - 8/3*c - 26/9*c**3 + 1. Solve m(p) = 0.
1, 2
Suppose 0 + 4/5*f**2 - 16/5*f = 0. Calculate f.
0, 4
Let y(t) be the first derivative of t**4/10 - 4*t**3/15 + t**2/5 - 5. Let y(l) = 0. What is l?
0, 1
Let s be (-6)/(-10) + 426/(-1). Let a = 427 + s. Determine z so that 2/5*z**2 + 8/5 + a*z = 0.
-2
Find s such that -7/4*s**2 - 1/4*s**3 - 15/4*s - 9/4 = 0.
-3, -1
Suppose -9*b + 10*b = 0. Let c(k) be the first derivative of 0*k + b*k**3 - 1/5*k**2 + 1/10*k**4 - 3. Factor c(d).
2*d*(d - 1)*(d + 1)/5
Suppose -h + 3*h = 40. Suppose 3*v + 2*v - h = 0. Let 4/7*d**2 + 6/7*d**5 + 6/7*d - 2/7 - 12/7*d**3 - 2/7*d**v = 0. What is d?
-1, 1/3, 1
Suppose 4*y + 15 = t, 0*y - 4*y - 9 = t. Factor -3 - 2*h**t + 3 + 0.
-2*h**3
Let c(q) be the first derivative of q**7/231 + 2*q**6/165 - q**4/33 - q**3/33 + 2*q - 1. Let j(m) be the first derivative of c(m). Factor j(b).
2*b*(b - 1)*(b + 1)**3/11
Let i be (170/14 + -12)*7/2. Factor 0 - 1/2*n**3 - i*n - n**2.
-n*(n + 1)**2/2
Let z(h) be the first derivative of 6/5*h - 3/20*h**4 + 3/10*h**2 + 4 - 3/5*h**3 + 3/25*h**5. Factor z(a).
3*(a - 2)*(a - 1)*(a + 1)**2/5
Find c such that 0 + 0*c**4 + 0*c**2 + 2/3*c**5 - 2/3*c**3 + 0*c = 0.
-1, 0, 1
Suppose 0*w + 4*w = 56. Factor -1 + 11*i**2 - 5 - 9*i - w*i**2.
-3*(i + 1)*(i + 2)
Let v(r) be the third derivative of -r**7/84 - r**6/60 + r**5/30 - 5*r**3/6 + 4*r**2. Let x(p) be the first derivative of v(p). Factor x(c).
-2*c*(c + 1)*(5*c - 2)
Let v(o) be the second derivative of o**4/6 + 2*o**3/3 + o**2 - 4*o. Factor v(p).
2*(p + 1)**2
Let s be (4 + 430/(-105))*-15. Let o = -2/21 + s. Factor o*z**2 + 0 - 1/3*z.
z*(4*z - 1)/3
Factor -1/2*n**2 + n + 0 - 1/2*n**3.
-n*(n - 1)*(n + 2)/2
Factor -l + l**3 + 42 - 42.
l*(l - 1)*(l + 1)
Factor -3/5 + 48/5*f**4 - 48/5*f**2 - 21/5*f - 24/5*f**3 + 48/5*f**5.
3*(f - 1)*(2*f + 1)**4/5
Let u(r) = r + 10. Let i be u(-7). Let y be (-2)/(0 - i/6). Let -3*k**3 + 5 - 5*k**2 + 5*k**y - 5 + 4*k**5 - k = 0. Calculate k.
-1, -1/4, 0, 1
Let w be (10/4)/(2/4). Suppose 0 = 5*f + p - 12, -f = 4*f + w*p - 20. Solve 2*v**f + v**5 - v + 0*v**4 - 2*v**4 + 0*v**4 = 0 for v.
-1, 0, 1
Factor 2 + 26/3*s + 2/3*s**5 + 14/3*s**4 + 44/3*s**2 + 12*s**3.
2*(s + 1)**4*(s + 3)/3
Let x(r) = -r + 2. Let z be -2 + 3 + -5 - -2. Let f be x(z). Determine o, given that 1/2*o + 0 + 11/2*o**3 - 3*o**f - 3*o**2 = 0.
0, 1/3, 1/2, 1
Let 12/7*f**4 + 32/7*f**2 + 4*f**3 + 4/7 + 2/7*f**5 + 18/7*f = 0. What is f?
-2, -1
Let g(t) be the second derivative of -4*t - 2*t**2 - 1/4*t**4 + 0 + 2/3*t**3 + 1/30*t**5. Let q(i) be the first derivative of g(i). Factor q(z).
2*(z - 2)*(z - 1)
Let h(q) be the first derivative of 4*q**5/15 + 4*q**4/3 + 8*q**3/3 + 8*q**2/3 + 4*q/3 - 7. Factor h(w).
4*(w + 1)**4/3
Factor 3/5*n**2 + 0 + 2/5*n + 1/5*n**3.
n*(n + 1)*(n + 2)/5
Let i(t) = -t**4 + t**2 + t + 1. Let k(j) = 15*j**5 + 78*j**4 + 69*j**3 - 54*j**2 - 96*j - 36. Let x(w) = -12*i(w) - k(w). Determine n so that x(n) = 0.
-2, -1, -2/5, 1
Let l(f) be the third derivative of f**7/70 - f**6/20 + f**4/4 - f**3/2 + 9*f**2. Factor l(h).
3*(h - 1)**3*(h + 1)
Let u(l) be the second derivative of l**5/8 - 17*l**4/6 + 217*l**3/12 + 49*l**2/2 + 10*l. Determine s, given that u(s) = 0.
-2/5, 7
Suppose -135 = 5*m - 0*m. Let d be -2*1*3/m. Factor d*f**3 - 2/9 + 2/9*f**2 - 2/9*f.
2*(f - 1)*(f + 1)**2/9
Let k be (-2 - (-45)/20)/(3/24). Factor 2/5*y**k + 2/5*y + 0.
2*y*(y + 1)/5
Let m(f) = -7*f**2 - 19*f + 17. Let x(n) = -36*n**2 - 96*n + 84. Let l(a) = 16*m(a) - 3*x(a). What is z in l(z) = 0?
-5, 1
Suppose 8*c - 3*c - 39 = p, -2 = 2*c + 4*p. Let s(r) = -r**2 + 7*r + 2. Let n be s(c). What is a in 0 + 2/7*a**n + 0*a + 2/7*a**3 = 0?
-1, 0
Let s(a) = 4*a**2 - 15*a - 18. Let p(v) = -6*v**2 + 16*v + 18. Let g(j) = -3*p(j) - 4*s(j). Determine n, given that g(n) = 0.
-3
Let y(m) be the first derivative of -m**5 - 3*m**4/2 + 11*m**3/15 + 6*m**2/5 - 4*m/5 + 8. Suppose y(g) = 0. Calculate g.
-1, 2/5
Factor -1/7*p**2 + 3/7 + 2/7*p.
-(p - 3)*(p + 1)/7
Find l such that -15*l**2 - 4*l**3 - 3*l**3 + 4*l**3 - 24*l - 12 = 0.
-2, -1
Let m(d) be the first derivative of d**7/231 - d**5/55 + d**3/33 + 11*d - 11. Let x(i) be the first derivative of m(i). Determine j, given that x(j) = 0.
-1, 0, 1
Let k be 1/(-2) - 10/(-4). Factor -25*m + 5*m + 24 + 90*m**k + 75*m**3 - 88*m.
3*(m + 2)*(5*m - 2)**2
Let z(k) = k**5 - k**4 - k**3 - k + 1. Let q(y) = 7*y**5 - 54*y**4 + 168*y**3 - 2*y**2 - 303*y - 69. Let d(s) = -2*q(s) + 6*z(s). What is n in d(n) = 0?
-1, -1/4, 2, 6
Let s = 430 + -4720/11. Factor s*v**2 - 2/11*v**3 - 16/11*v + 8/11.
-2*(v - 2)**2*(v - 1)/11
Let u(h) be the third derivative of h**5/60 + 5*h**4/24 + 14*h**2 - 2*h. Determine k, given that u(k) = 0.
-5, 0
Let v be (-7 - 34/(-6))*(-6)/10. Factor 2/5*