 1/2*r = 0. What is r?
-1, 1, 2
Let n be (-1)/(-2)*0/5. Suppose 3*i + n - 12 = 0. Factor 1/2 - 1/2*d**5 + d**3 + 1/2*d**i - 1/2*d - d**2.
-(d - 1)**3*(d + 1)**2/2
Find d, given that 12/5 - 3/5*d**3 + 3/5*d - 12/5*d**2 = 0.
-4, -1, 1
Let z be 3/3*0/6. Factor -14/5*t**2 - 4/5*t + z.
-2*t*(7*t + 2)/5
Let g(k) be the first derivative of -13/9*k**3 + 0*k - 23/15*k**5 - 9/4*k**4 - 7/18*k**6 - 1/3*k**2 - 2. Factor g(r).
-r*(r + 1)**3*(7*r + 2)/3
Let u = -51 - -53. Factor 2/7*h**u + 0 + 0*h.
2*h**2/7
Let g(v) be the first derivative of -v**9/7560 + v**8/2100 - v**6/450 + v**5/300 - 2*v**3/3 + 4. Let m(w) be the third derivative of g(w). Factor m(h).
-2*h*(h - 1)**3*(h + 1)/5
Let j(l) be the first derivative of -2*l**5/45 - 2*l**4/9 + 2*l**3/27 + 4*l**2/9 - 7. Suppose j(p) = 0. What is p?
-4, -1, 0, 1
Let r be (-2)/8 + 19/(-4). Let c = r + 7. Find h, given that 0*h**c - 5/2*h**5 + 0*h + h**3 + 3/2*h**4 + 0 = 0.
-2/5, 0, 1
Let f(o) be the second derivative of -o**6/60 + o**4/12 + 3*o**2/2 - 2*o. Let i(q) be the first derivative of f(q). What is n in i(n) = 0?
-1, 0, 1
Let g be (2/(-15))/((-300)/500). Factor 2/9*c**4 + 0*c + 0*c**3 + 0 - g*c**5 + 0*c**2.
-2*c**4*(c - 1)/9
Suppose 2*p + 3*p - 30 = 0. Let j(b) = -b + 6. Let d be j(p). What is h in 2/5*h + d - 4/5*h**3 - 2/5*h**2 = 0?
-1, 0, 1/2
Let v(n) = n**3 - 35*n**2 + 150*n + 6. Let d be v(5). Factor -2*x**3 + 2/9*x + 0 - 2/3*x**2 + d*x**4.
2*x*(3*x - 1)**2*(3*x + 1)/9
Let s be ((-8)/10)/(1/(-5)). Let y(n) = -n**2 + n + 2. Let g(l) = -l**2 - 2 + 11 - 7 + l. Let a(i) = s*g(i) - 3*y(i). Factor a(j).
-(j - 2)*(j + 1)
Let h(g) be the first derivative of -g**8/112 + g**7/105 + g**6/120 - g**2/2 - 3. Let o(j) be the second derivative of h(j). Let o(k) = 0. What is k?
-1/3, 0, 1
Let r = 211/812 - 2/203. Factor r*q - 1/4*q**2 + 1/4 - 1/4*q**3.
-(q - 1)*(q + 1)**2/4
Let n(r) = -r**3 - 2*r**2 + 4*r + 4. Let p(a) = -2*a + 3 + 5*a + 0*a - 3*a**2. Let u(y) = 3*n(y) - 4*p(y). Factor u(s).
-3*s**2*(s - 2)
Factor 1/4 + 1/2*m + 1/4*m**2.
(m + 1)**2/4
Find d, given that 0*d**3 + 0*d**2 + 0*d - 9/4*d**5 + 0 + 3/2*d**4 = 0.
0, 2/3
Let t(f) be the third derivative of -f**6/660 + f**5/55 - 3*f**4/44 + 33*f**2. Find r such that t(r) = 0.
0, 3
Let p be 28/10 + (-12)/6. Let x be 1*(1/3)/((-2)/(-18)). Let 2/5 + 0*c**2 - 2/5*c**4 - 4/5*c + p*c**x = 0. What is c?
-1, 1
Let v(m) = -m**3 - m**2 - 1. Let t(w) = -6*w**4 - 4*w**3 + 2*w**2 + 5. Let a(s) = t(s) + 5*v(s). What is l in a(l) = 0?
-1, -1/2, 0
Factor -5*t**2 + 2*t - 5*t**3 + 5*t**4 - 4*t + 7*t.
5*t*(t - 1)**2*(t + 1)
Let x(i) = i**2 - 7*i + 13. Let v be x(5). Let r = 97/20 - 23/5. Factor 3/4*g + 1/4*g**v - r - 3/4*g**2.
(g - 1)**3/4
Let x(q) be the third derivative of q**7/1050 - q**5/100 - q**4/60 - 4*q**2. Factor x(p).
p*(p - 2)*(p + 1)**2/5
Suppose -u + 1 = -8. Let -98*r**2 + r - u*r**3 + 101*r**2 + 5*r + 3*r**5 - 3*r**4 = 0. Calculate r.
-1, 0, 1, 2
Suppose -4 = -5*i - k - 0*k, -2*k = 4*i - 8. Let g be 2/(-7) - (-22)/28. Factor 0*t**3 - g - 1/2*t**4 + i*t + t**2.
-(t - 1)**2*(t + 1)**2/2
Let h be (10 - 4)/3 - 0. Let g(a) be the third derivative of a**h + 1/18*a**4 + 0*a**3 + 0 + 1/30*a**5 + 0*a. Factor g(c).
2*c*(3*c + 2)/3
Let g be (-4)/(-12) + 5/3. Suppose -h + 3*o = 9, 2*o = g*h + 3 + 3. Factor 1/5*a**2 + h*a + 0 - 1/5*a**3.
-a**2*(a - 1)/5
Let y = 6686/75 - 62/25. Let i = y + -86. What is q in 2/3*q**2 + i - 4/3*q = 0?
1
Suppose 0 = 12*s - 7*s - 10. Suppose -6 + 12*z + 3/2*z**3 - 15/2*z**s = 0. Calculate z.
1, 2
Suppose 2*h + 2*u = 12, -4*h = -u - 0 - 14. Factor -6*m**h + 3*m**2 + 2*m**5 + m**5 + 3*m**3 - 3*m**2.
3*m**3*(m - 1)**2
Suppose 4*d + 866 = 2*j, -9 = -0*j + 3*j. Let v = -1958/9 - d. Factor -22/9*z + 30*z**3 + v - 2*z**2 - 42*z**4.
-2*(3*z - 1)**3*(7*z + 2)/9
Factor -1/5*j**3 - 3/5*j + 0 + 4/5*j**2.
-j*(j - 3)*(j - 1)/5
Let t(x) = x**3 + x**2 + x - 1. Let p(u) be the second derivative of 17*u**5/20 + u**4/12 - 7*u**3/6 - u**2/2 + u. Let j(w) = p(w) - 5*t(w). Factor j(g).
4*(g - 1)*(g + 1)*(3*g - 1)
Factor -3/5*l**2 - 3/5*l**3 + 3/5 + 3/5*l.
-3*(l - 1)*(l + 1)**2/5
Suppose 0 = 6*k - 11*k + 70. Suppose 0 = -2*c - 4 + k. What is w in 5*w**5 - 3*w + 16*w**4 - 37*w**5 + c*w - 16*w**2 + 30*w**3 = 0?
-1, 0, 1/4, 1
Let s = -9 + 16. Determine m so that -s*m**3 - 2*m**2 + 7*m**3 + 2*m**4 = 0.
-1, 0, 1
Factor -2 - 17/2*p**2 - 10*p - 2*p**3.
-(p + 2)**2*(4*p + 1)/2
Let y(u) = 6*u**3 - 30*u**2 + 9*u + 15. Let r = -16 - -31. Let n(f) = -f**3 + f**2 - f - 1. Let x(j) = r*n(j) + y(j). Factor x(t).
-3*t*(t + 1)*(3*t + 2)
Suppose -24 = -4*d - 7*m + 3*m, -3*d = -4*m + 17. Let k be -1 + (2 - d) - 0. Factor 1/2*u**4 + k*u + 0*u**3 + 0 + 0*u**2.
u**4/2
Let a(m) be the second derivative of -m**4/18 - 2*m**3/9 + m**2 + 21*m. Let a(b) = 0. Calculate b.
-3, 1
Determine h, given that 352*h**3 - 179*h**3 + 242*h**3 + 195*h**2 - 40*h - 175*h**4 - 375*h**5 - 20 = 0.
-1, -2/5, 1/3, 1
Let q(d) be the first derivative of d**6/4 - 3*d**5/5 + 3*d**4/8 - 8. Determine n, given that q(n) = 0.
0, 1
Let p(b) be the second derivative of b**6/45 - b**5/20 - b**4/12 + b**3/3 + 2*b. Let d(s) be the second derivative of p(s). Factor d(l).
2*(l - 1)*(4*l + 1)
Let u(o) = -o**5 + o**4 - o**3 - 1. Let z(b) = 83*b**5 - 47*b**4 - 111*b**3 + 41*b**2 + 32*b + 6. Let s(l) = -6*u(l) - 3*z(l). Solve s(k) = 0.
-1, -2/9, 1
Suppose 0 + 9/4*t - 3/4*t**4 - 33/4*t**2 + 33/4*t**3 - 3/2*t**5 = 0. Calculate t.
-3, 0, 1/2, 1
Let z = -36 - -73/2. Factor -1 + z*q**2 + 1/2*q.
(q - 1)*(q + 2)/2
Let r be -2*-4*15/6. Let n = 20 - r. Let n*q**2 + 1/4*q + 0 - 1/4*q**3 = 0. What is q?
-1, 0, 1
Suppose -2*y = -12*y. Factor -1/3*w**2 + y + 2/3*w.
-w*(w - 2)/3
Let p(n) be the first derivative of 4*n**5/5 + n**4/2 - 2*n**3/3 + 17. Factor p(i).
2*i**2*(i + 1)*(2*i - 1)
Let s(j) be the first derivative of -5*j**3/3 - 19*j**2/2 + 4*j + 1. Let c(y) = 3*y**2 + 9*y - 2. Let p(i) = -9*c(i) - 4*s(i). Suppose p(z) = 0. What is z?
-1, 2/7
Let v(s) be the second derivative of s**6/6 - 5*s**5/4 + 5*s**4/2 - 39*s. Factor v(j).
5*j**2*(j - 3)*(j - 2)
Let 3*i - 1 + i + i**3 + i**2 - 5*i + 0*i**2 = 0. What is i?
-1, 1
Let f(m) be the third derivative of -4*m**2 - 1/200*m**6 - 3/10*m**4 + 4/5*m**3 + 0 + 0*m + 3/50*m**5. Find g, given that f(g) = 0.
2
Suppose -2*f + 4*c + 26 = 24, 5*f - 12 = 3*c. Factor 8/3*n**2 - n - 2/3 - n**f.
-(n - 2)*(n - 1)*(3*n + 1)/3
Let b(y) be the second derivative of 3/20*y**5 + 0*y**2 + 1/10*y**6 + 4*y + 0 + 0*y**4 + 0*y**3. Solve b(m) = 0.
-1, 0
Let a(m) be the third derivative of 3/245*m**7 + 0*m**4 + 1/60*m**6 + 0*m - 4*m**2 + 0*m**3 + 0 - 1/105*m**5. Factor a(j).
2*j**2*(j + 1)*(9*j - 2)/7
Let w(t) = 19*t - 109. Let z be w(6). What is h in -7/4*h**2 - 1/2*h - 1/4*h**z - 9/4*h**3 - 5/4*h**4 + 0 = 0?
-2, -1, 0
Let c(i) be the third derivative of i**8/1680 - i**7/315 - 5*i**4/24 + 3*i**2. Let z(n) be the second derivative of c(n). Factor z(f).
4*f**2*(f - 2)
Let q = -437/39 + 150/13. Suppose 0*z + 3*z + 2*t - 15 = 0, z - 5 = t. Solve 1/3*k**z - q*k**2 + 2/3*k + 1/3*k**4 - k**3 + 0 = 0 for k.
-2, -1, 0, 1
Let y(z) be the second derivative of -2/3*z**2 + 5*z + 2/9*z**4 + 7/9*z**3 + 0. Find u such that y(u) = 0.
-2, 1/4
Let w(h) be the first derivative of h**3/27 + h**2/9 + h/9 + 1. Solve w(z) = 0.
-1
Let g(s) = s**3 - 14*s**2 - 16*s + 1. Let h be g(15). Let v be ((-6)/h)/(6/8). Find m, given that -2/7*m**4 + 2/7 + 0*m**2 - 4/7*m + v*m**3 = 0.
-1, 1
Let j be -1*((-2)/1 + 1). Let r be (-14)/(-8) + 2/8. Factor -2*q - q**r - 4 + 2 + j.
-(q + 1)**2
Let v(k) be the third derivative of 7*k**6/15 + k**5/15 - 11*k**4/6 - 8*k**3/3 + 31*k**2. Factor v(f).
4*(f - 1)*(2*f + 1)*(7*f + 4)
Let r(t) = -t**3 - 5*t**2 - 5*t + 2. Let m be r(-4). Factor -5*a**2 - a + 2*a + m*a**2 - 2*a.
a*(a - 1)
Factor 14*k + 11*k - 44*k + 20*k - k**2.
-k*(k - 1)
Let u = 8 + -3. Suppose -4*q + u*n = -7, n + 5 = -q + 3*q. Factor -g**2 + 2*g**3 + q*g - 3*g**2 - g.
2*g*(g - 1)**2
Let l(c) be the second derivative of c**6/30 - c**5/20 - c**4/12 + c**3/6 + 8*c. Factor l(a).
a*(a - 1)**2*(a + 1)
Suppose -2*l + 2 = -20. Let -3*d**2 - 22*d**3 - d**4 + 18*d**5 - 11*d**4 + l*d**2 + 8*d = 0. What is d?
-2/3, 0, 1
Let z(y) be the third derivative of 0*y + 1/240*y**5 + 0 - 1/96*y**4 - 1/24*y**3 + 4*y**2 + 1/480*y**6. Factor z(r).
(r - 1)*(r + 1)**2/4
Let g(p) be the thi