- 6 + 3 - 1 - 9*q = 0. What is q?
-2, -1
Suppose x - 11 = -8*i + 3*i, 0 = 4*i - 4*x - 28. Find s such that -2*s**4 - 2/3*s**i + 2*s**2 + 4/3*s - 2/3*s**5 + 0 = 0.
-2, -1, 0, 1
Let m(f) be the third derivative of f**6/180 - f**5/45 + f**4/36 - 2*f**2. Let m(i) = 0. What is i?
0, 1
Let d be -10 + 10 - 2/(-6). Let r(j) be the second derivative of -d*j**3 + 4*j + 1/2*j**2 + 1/12*j**4 + 0. Factor r(p).
(p - 1)**2
Let f(o) be the first derivative of -o**5 + 5*o**3 + 5*o**2 + 12. Determine m, given that f(m) = 0.
-1, 0, 2
Suppose -c + 3 = -3*s + 5, 0 = 5*c + 10. Solve s*t - 3/5*t**4 - 3/5*t**2 + 0 - 6/5*t**3 = 0.
-1, 0
Let o(s) be the third derivative of -s**4/12 - 2*s**3/3 - 2*s**2. Let h be o(-5). Factor -8 - 2*m**2 + 4 + h*m + 4*m + 2*m**3 - 6*m**2.
2*(m - 2)*(m - 1)**2
Let t = -100 - -100. Factor -2/7*m**2 + t - 2/7*m.
-2*m*(m + 1)/7
Let g be (-6)/(-3)*(-3)/(-12). Let g*d**4 + 0*d + 0 + 0*d**2 - 1/4*d**3 + 3/4*d**5 = 0. What is d?
-1, 0, 1/3
Let a be 6/8 + 180/(-1008). Let 6/7*b**4 - 8/7*b**3 + a*b + 0 - 2/7*b**2 = 0. Calculate b.
-2/3, 0, 1
Let 0 + s**2 + 1/2*s**3 + 1/2*s = 0. What is s?
-1, 0
Let m(c) be the first derivative of -c**4/14 - 4*c**3/21 - 10. Find n, given that m(n) = 0.
-2, 0
Let o = 541 - 541. What is b in 1/2*b**2 + o + b = 0?
-2, 0
Let r(v) be the first derivative of -v**6/2 + 3*v**5/5 + 3*v**4/4 - v**3 + 27. Determine g so that r(g) = 0.
-1, 0, 1
Let c(p) be the first derivative of p**4/36 - 2*p**3/9 + 2*p**2/3 - 6*p + 5. Let w(m) be the first derivative of c(m). Determine r, given that w(r) = 0.
2
Let g = 5 - 0. Let i = 8 - g. Factor 0*n - 2 - n**2 - 2*n + i*n**2 - 2.
2*(n - 2)*(n + 1)
Let x = 9 + -4. Factor 2*d**5 + d**4 - 2*d**x + d**5.
d**4*(d + 1)
Let o = 45 + 10. Let b = 167/3 - o. Factor -2/3 + 4/3*l - b*l**2.
-2*(l - 1)**2/3
Suppose -32 = 9*d - 13*d. What is u in -16/3*u**2 - d*u**3 - 4*u**4 - 2/3*u**5 + 0*u + 0 = 0?
-2, 0
Let z(l) be the third derivative of -1/30*l**5 + 0*l + 4*l**2 - 1/4*l**4 - 2/3*l**3 + 0. Solve z(s) = 0 for s.
-2, -1
Let w(o) be the first derivative of o**8/1176 - o**2 - 5. Let t(z) be the second derivative of w(z). Determine f so that t(f) = 0.
0
Let q(r) be the first derivative of r**2 - 1/2*r**4 + 2/5*r**5 + 0*r - 4 - 2/3*r**3. Factor q(t).
2*t*(t - 1)**2*(t + 1)
Let c(o) = o**2 - 3*o + 3. Let f(z) = 5*z**2 - 17*z + 17. Let q(v) = -34*c(v) + 6*f(v). Solve q(w) = 0.
0
Let c = 14 - 26. Let d = c - -51/4. Factor -d*g**2 - 1/4 + g.
-(g - 1)*(3*g - 1)/4
Suppose -g - 2*r = r - 10, g + 5*r - 16 = 0. Suppose -3*s + g = -5. Factor s*f**3 + f**3 - f**4 - 2*f**3.
-f**3*(f - 1)
Suppose 6*s - 3 = 3*s. Suppose -2 = -3*b + 10. Factor -8 + 4 - 3*g**b + 6*g**2 + s.
-3*(g - 1)**2*(g + 1)**2
Suppose 67 - 69 = -q. Let y(s) be the second derivative of 0 - 1/6*s**5 - 2/3*s**q + 3*s - s**3 - 2/3*s**4. Suppose y(w) = 0. What is w?
-1, -2/5
Suppose -141*h**5 + 138*h**5 + 5*h**3 + 2*h + 6*h**4 - 14*h + 4*h**3 - 12*h**2 = 0. Calculate h.
-1, 0, 2
Let d = 133 - 65. Factor 3*b - 3*b**3 - 6*b**3 + d*b**2 - 74*b**2.
-3*b*(b + 1)*(3*b - 1)
Determine f so that 343/9*f**3 + 84*f - 24 - 98*f**2 = 0.
6/7
Let q(x) be the first derivative of x**6/60 + 3*x**5/50 - x**4/40 - 11*x**3/30 - 3*x**2/5 - 2*x/5 - 13. Factor q(c).
(c - 2)*(c + 1)**3*(c + 2)/10
Let v(w) = w**2 - 1. Let q(d) = 7*d**2 + d - 8. Let l(p) = q(p) - 6*v(p). Factor l(a).
(a - 1)*(a + 2)
Let y(s) = 7*s + 79. Let z be y(-11). Solve 5/2*x**5 + 7/2*x**4 - 3/2*x**3 - x - 7/2*x**z + 0 = 0 for x.
-1, -2/5, 0, 1
Let o be ((-34)/51)/(7/(-3)). Solve -2/7 + 4/7*s - o*s**2 = 0.
1
Let k(h) = 13*h**5 - 3*h**4 - 24*h**3 + 35*h**2 - 11*h. Let s(j) = -6*j**5 + 2*j**4 + 12*j**3 - 18*j**2 + 6*j. Let n(i) = -2*k(i) - 5*s(i). Factor n(w).
4*w*(w - 1)**3*(w + 2)
Let t be (-3)/8*12/(-189). Let p(y) be the second derivative of 1/7*y**3 - 3*y - t*y**4 - 2/7*y**2 + 0. Solve p(h) = 0 for h.
1, 2
Factor -8*c - 3*c - 6*c**2 - 10*c + 24 + 3*c**2.
-3*(c - 1)*(c + 8)
Let p(g) = -9*g**4 - 17*g**3 - 4*g**2 - 9*g. Let h(s) = -2*s**4 - 4*s**3 - s**2 - 2*s. Let r(l) = -26*h(l) + 6*p(l). Factor r(d).
-2*d*(d - 1)**2*(d + 1)
Let n = -1/6457 - -1188093/32285. Let p = 37 - n. Factor 3/5*z**4 + 1/5*z**5 + 2/5*z**3 - p - 2/5*z**2 - 3/5*z.
(z - 1)*(z + 1)**4/5
Let x = -21 + 23. Let a(r) be the third derivative of 1/168*r**8 + 1/40*r**6 + 0*r + 0*r**3 - 1/24*r**4 - r**x + 1/42*r**7 + 0 - 1/60*r**5. Factor a(k).
k*(k + 1)**3*(2*k - 1)
Let y(u) be the first derivative of 4 + 3/2*u**2 + u**3 - 3*u - 3/4*u**4. What is b in y(b) = 0?
-1, 1
Let k(x) = -57*x**2 - 9*x + 33. Let n(u) = 7*u**2 + u - 4. Let q(y) = -4*k(y) - 33*n(y). Factor q(s).
-3*s*(s - 1)
Suppose 0 = -4*t + 9*w - 8*w + 1, -1 = 4*t + w. Factor t - p + 1/2*p**2.
p*(p - 2)/2
Let d(b) be the first derivative of -7*b**6/180 - b**5/12 + b**4/6 + 4*b**3/3 - 2. Let s(c) be the third derivative of d(c). Determine x so that s(x) = 0.
-1, 2/7
Let h(d) = 36*d**4 + 74*d**3 + 24*d**2 + 4*d - 6. Let g(v) = -35*v**4 - 75*v**3 - 23*v**2 - 4*v + 7. Let r(p) = 6*g(p) + 7*h(p). What is f in r(f) = 0?
-1, -1/3, -2/7, 0
Let j(s) be the first derivative of -3*s**4/20 - s**3/3 + s**2/5 - 5. Determine r so that j(r) = 0.
-2, 0, 1/3
Let x be -2 + -2*(-8 - -2). Suppose 0 = 5*c - 5*f - x, -2*c + 2*f = c - 7. Find o such that 4*o**2 - c*o + 4*o - 2 - 4*o**2 + o**2 = 0.
-2, 1
Let n be (-16)/(-21) + (-4 - 25/(-7)). Let g(t) be the first derivative of -t - n*t**3 + t**2 - 2. Factor g(p).
-(p - 1)**2
Let s(d) be the third derivative of 1/24*d**3 + 3*d**2 + 0*d + 1/32*d**4 + 1/480*d**6 + 0 + 1/80*d**5. Factor s(n).
(n + 1)**3/4
Let r(z) = -z**2 - z + 5. Suppose -10 = 2*w, -5*v + 2*w - 5 = 5*w. Let y(f) = -3*f**2 - 10 + 5*f**v - 4 + 3*f + f. Let m(i) = 8*r(i) + 3*y(i). Factor m(b).
-2*(b - 1)**2
Let l(h) be the second derivative of -h**9/60480 - h**8/26880 - h**4/6 - 5*h. Let b(m) be the third derivative of l(m). Factor b(r).
-r**3*(r + 1)/4
Let c(r) be the third derivative of -r**5/60 + r**4/24 + r**3/2 + 6*r**2. Let i(o) = -o**2 + o + 5. Let t(f) = -5*c(f) + 3*i(f). What is x in t(x) = 0?
0, 1
Suppose 0 = -6*c + 6 + 6. Suppose 3*w = 2*w + 3*d + 6, -w + d = -2. Factor -2/7*q**5 + 0*q + w*q**c - 4/7*q**4 - 2/7*q**3 + 0.
-2*q**3*(q + 1)**2/7
Let s = 0 + 5. Suppose 5*b + 14 = q, -1 = -q - s*b - 7. Find h such that 0*h + 0 - 1/2*h**3 + 1/2*h**2 - 1/2*h**q + 1/2*h**5 = 0.
-1, 0, 1
Let a(q) = q**2 - 7. Let d be a(-3). Let t(k) be the first derivative of 0*k**d + 2/15*k**3 - 2/5*k + 2. Factor t(b).
2*(b - 1)*(b + 1)/5
Let a(o) = 5*o. Let j be a(-2). Let v be -8*(1/j + 0). Factor -v*g + 2/5*g**2 + 0.
2*g*(g - 2)/5
Let n(m) = -m + 14. Let k = 24 - 13. Let r be n(k). Factor 3*h**r + h**3 + 5*h**2 - 2*h**3 + 2*h - h**2.
2*h*(h + 1)**2
Suppose 0 = -4*b + 2 + 18. Let f(i) be the first derivative of 3 - 2/5*i**b + 0*i - 2/7*i**3 + 6/7*i**4 - 2/7*i**2. Let f(q) = 0. Calculate q.
-2/7, 0, 1
Find w, given that 0 - 2*w + 2/3*w**2 = 0.
0, 3
Let a be -1 - (-2)/2208*-374. Let r = -1/184 - a. Factor 2/3*u**3 + 0 + 2*u**2 + r*u.
2*u*(u + 1)*(u + 2)/3
Factor 4*l - 10*l**2 - 3*l + 3*l - 2*l**4 + 8*l**3 + 0*l.
-2*l*(l - 2)*(l - 1)**2
Factor -2/7*l**3 + 0*l**2 - 1/7*l**4 + 2/7*l + 1/7.
-(l - 1)*(l + 1)**3/7
Factor -5*f + f**3 + 3*f - 5*f + 3*f.
f*(f - 2)*(f + 2)
Let a be (-41)/(-9) - 48/(-108). Solve 8/3*p**2 - 2/3*p**a + 4/3*p**3 - 4/3 - 2/3*p - 4/3*p**4 = 0.
-2, -1, 1
Let y(l) be the third derivative of -125*l**8/1512 + 5*l**7/189 + l**6/6 - 26*l**5/135 + 2*l**4/27 - 12*l**2. Factor y(x).
-2*x*(x + 1)*(5*x - 2)**3/9
Let a be ((-2)/(-6) - 6/(-18))*6. Let z(y) be the first derivative of 2/15*y**3 + a - 4/5*y + 1/5*y**2. Determine v so that z(v) = 0.
-2, 1
Let q(t) be the third derivative of 0 + 1/28*t**4 + 2/21*t**3 + 1/210*t**5 + 0*t - 4*t**2. Find z such that q(z) = 0.
-2, -1
Let c(v) be the first derivative of v**4/48 + v**3/6 + v**2/2 - 2*v - 2. Let q(i) be the first derivative of c(i). Factor q(h).
(h + 2)**2/4
Let t be 2/8 + 7/4. Suppose 0 = 4*v + 5*b - 13, 3*v = -b + 5*b + 2. Determine z so that 2*z**3 + 6*z**2 + 2 + 4*z + 0*z**v + t*z = 0.
-1
Let z be 16*((-15)/(-6) + -2). Let c be (2/(-6))/((-12)/z). Find a such that -c*a**2 + 4/9*a - 2/9 = 0.
1
Determine d, given that 1/4*d - 1/2 - 21/4*d**3 + 11/2*d**2 = 0.
-2/7, 1/3, 1
Suppose -4 - 2 = -w. Factor 21*d**3 + 15*d - 10*d**2 + 0 - w*d**4 - 17*d**2 - 