*x/4 + 9. Let f(q) = 0. Calculate q.
-3, -1, 1
Let k(j) be the second derivative of -j**4/12 + j**3/6 + 6*j. Factor k(w).
-w*(w - 1)
Suppose 6*j = 3*j + 15. Let d be (-22)/10 - -1 - (-646)/255. Factor -25/6*w**j + d*w - 2/3 - 55/6*w**4 - 19/6*w**3 + 23/6*w**2.
-(w + 1)**3*(5*w - 2)**2/6
Let v = -2 + 2. Suppose -2*b + 4 = -v*b. Factor -t**5 - 8*t**4 + 3*t**5 + 6*t**3 + b*t**4 - 2*t**2.
2*t**2*(t - 1)**3
Let f = -3/26 + 41/130. Solve -z + f - 3/5*z**3 + 7/5*z**2 = 0.
1/3, 1
Suppose -3*k = -1 - 5. Let w(p) = -p**2 + 7*p + 10. Let s be w(8). Factor -3 + x**k + 8*x + 1 - 8*x**3 + x**s.
-2*(x - 1)*(x + 1)*(4*x - 1)
Suppose 3*l = -2*z + 12, 5*l = -z - z + 16. Let p(s) be the second derivative of 0*s**2 - s + 1/3*s**z + 0 - 1/6*s**4. Suppose p(o) = 0. What is o?
0, 1
Let v be 4*(-2 + -1 + 4). Let z(n) = n**2 - 4*n + 5. Let l be z(v). Factor -4*c**3 - 3*c + 2*c - l*c + 9*c**2 + 1.
-(c - 1)**2*(4*c - 1)
Let q = -2 + 6. Solve 195*a**3 - 36*a**5 + 275*a**3 + 8 + 134*a**5 + 290*a**2 + 350*a**q + 80*a = 0 for a.
-1, -2/7
Suppose 6*r = 9*r - 6. Factor -18/11*f**4 - 74/11*f**r - 8/11 - 60/11*f**3 - 40/11*f.
-2*(f + 1)**2*(3*f + 2)**2/11
Let q = 2 + 2. Find d such that -4 + 3 - 3*d + q - 2*d**2 + 3*d**3 - 1 = 0.
-1, 2/3, 1
Suppose 2*g = 8*g + 18. Let q be 3 + g - 3/(-2). Factor -9/4*a + 0*a**2 - q + 3/4*a**3.
3*(a - 2)*(a + 1)**2/4
Suppose 0 = -0*w - w + 64. What is d in -87*d - 224*d**2 - 156*d - 36*d**4 - 4*d**5 + 51*d - 128*d**3 - w = 0?
-2, -1
Let y = 6350 + -37945/6. Let j = y + -49/2. Factor -2 - 2/9*v**2 - j*v.
-2*(v + 3)**2/9
Let r(p) be the second derivative of p**5/5 + 5*p**4/3 + 16*p**3/3 + 8*p**2 + 19*p. What is h in r(h) = 0?
-2, -1
Let f be ((-36)/(-5))/((-6)/(-15)). Let m = f - 16. Let -1 + 1/2*n + 1/2*n**m = 0. Calculate n.
-2, 1
Let i(x) = x**3 - 4*x**2 + 5. Let a be i(4). Factor -1/2*h + 0 + h**4 + 0*h**3 - h**2 + 1/2*h**a.
h*(h - 1)*(h + 1)**3/2
Suppose 4*y + 0*j = -2*j + 2, -j = -1. Solve -4/13*g**3 + y + 2/13*g**4 + 4/13*g - 2/13*g**2 = 0 for g.
-1, 0, 1, 2
Let a = -1/51 + 157/204. Factor 3*j**2 + 15/4*j + a*j**3 + 3/2.
3*(j + 1)**2*(j + 2)/4
Let t(i) be the second derivative of 27*i**9/224 + 81*i**8/560 + 9*i**7/140 + i**6/90 - i**3 + 4*i. Let u(n) be the second derivative of t(n). Factor u(z).
z**2*(9*z + 2)**3/2
Let p be (-1)/5*(-45)/63. Let m(s) be the first derivative of 2/21*s**3 - 1/14*s**4 - 2/7*s + p*s**2 - 1. Find n such that m(n) = 0.
-1, 1
Let i(v) = v - 3. Let p be i(7). Factor -5 + 9*k + p*k**2 - 1 + 8.
(k + 2)*(4*k + 1)
Suppose -10 = -2*t - 0. Suppose -2*c - c - 6 = -2*l, 3 = -t*c + l. Suppose 0 - 1/4*h + c*h**2 + 1/4*h**3 = 0. Calculate h.
-1, 0, 1
Let w(n) = 12*n**2 - 4*n**2 + n**3 + 9*n + 2 + 9 - 8*n. Let b be w(-8). Factor 0*p + 1/2*p**4 + 1/2 - p**2 + 0*p**b.
(p - 1)**2*(p + 1)**2/2
Let g(y) be the second derivative of y**7/945 + y**6/540 + 2*y**2 + 3*y. Let x(t) be the first derivative of g(t). Find c such that x(c) = 0.
-1, 0
Let j be -6*(-8)/(-180) + (-15)/(-25). Factor -2/3*b + 0*b**2 - 1/3*b**4 + 2/3*b**3 + j.
-(b - 1)**3*(b + 1)/3
Let d(r) be the third derivative of r**5/90 + r**4/18 - 2*r**2. Determine j, given that d(j) = 0.
-2, 0
Let b be -5 - (5 + (-9 - 1)). Suppose 0*l + b + 1/3*l**2 - 1/3*l**4 + 0*l**3 = 0. Calculate l.
-1, 0, 1
Let 1/4*p**2 + 0 + 0*p + 0*p**3 - 1/4*p**4 = 0. What is p?
-1, 0, 1
Let f = 64 + -62. Let m(j) be the second derivative of -3*j + 1/9*j**3 - 1/30*j**5 - 1/6*j**f + 1/36*j**4 + 0. Factor m(y).
-(y - 1)*(y + 1)*(2*y - 1)/3
Let v(g) be the third derivative of -g**8/80640 + g**7/10080 - g**6/2880 - g**5/30 - g**2. Let d(b) be the third derivative of v(b). Factor d(u).
-(u - 1)**2/4
Factor 0 + 2/3*x**4 + 6*x**3 + 0*x**2 + 0*x.
2*x**3*(x + 9)/3
Suppose -2*t + 0*t + 10 = 0. Suppose -4*q + t*p = -2*q - 24, -p - 2 = 0. Factor 4*m**3 - 12*m**5 + 10*m**4 + q*m**5 - 9*m**5.
-2*m**3*(m - 1)*(7*m + 2)
Factor 4*p - 10*p**2 + 13*p**2 - 4 - 4*p**2.
-(p - 2)**2
Let p(a) = a**3 - 5*a**2 + 5*a - 2. Let c be (-105)/(-25) - 2/10. Let g be p(c). Factor 0*n**g + 2*n**3 + 2*n**4 + 2*n**3 + 2*n**2.
2*n**2*(n + 1)**2
Suppose -26 = 2*h - 68. Factor -15*z**3 - 5*z**3 + 28*z**2 + 11*z - 22 + 6 + h*z.
-4*(z - 2)*(z + 1)*(5*z - 2)
Let z(u) = u**3 - 3*u**2 + 3. Let q be z(3). Factor -d**2 - q*d**3 - d**2 + d**3 + 0*d**3.
-2*d**2*(d + 1)
Find p, given that 3*p**2 + 24*p**3 - 6*p - 22*p**3 - 4 - 3*p**2 = 0.
-1, 2
Let s(z) = 2*z**3 + z**2 + 2*z - 3. Let o(h) = h**3 + h**2 + h - 1. Let x be ((-12)/(-15))/((-2)/15). Let k(n) = x*o(n) + 2*s(n). Factor k(w).
-2*w*(w + 1)**2
Let u be ((-2)/48)/((-12)/9). Let k(w) be the third derivative of -w**2 - u*w**4 + 0*w + 0*w**3 + 0 + 1/80*w**5. Determine g so that k(g) = 0.
0, 1
Let p(x) = -5*x**2 - 41*x - 35. Let w(d) = 3*d**2 + 27*d + 23. Let g(y) = 5*p(y) + 8*w(y). Let o(j) = -j**2 + j + 1. Let m(f) = g(f) - 3*o(f). Factor m(k).
2*(k + 1)*(k + 3)
Let y = 52 - 32. Suppose 4*q + y = 8*q. Factor 1/4*w**2 + 1/4*w**q + 0*w + 3/4*w**3 + 0 + 3/4*w**4.
w**2*(w + 1)**3/4
Let l = 7621/756 + -141/14. Let c = l + 209/756. Factor -4/7 - 6/7*q - c*q**2.
-2*(q + 1)*(q + 2)/7
Let y = -63 - -31. Let a = y - -97/3. Suppose 1/3*l**2 + 1/3*l - a - 1/3*l**3 = 0. What is l?
-1, 1
Determine o, given that -12/7*o + 16/7 - 4/7*o**2 = 0.
-4, 1
Suppose 2*a = -l + 7 - 3, -a - l = 0. What is q in 17*q**4 + q - 15*q**2 - 14*q**5 + 13*q**3 - a*q**2 - 2 + 4 = 0?
-1, -2/7, 1/2, 1
Let l(t) = 28*t**3 + 1. Let c be l(-1). Let z be (1/12)/(c/(-243)). Factor 1/4 - 1/2*u**3 - u**2 + z*u**4 + 1/2*u.
(u - 1)**2*(u + 1)*(3*u + 1)/4
Let s(c) be the second derivative of c**9/83160 - c**8/18480 + c**4/6 + 6*c. Let o(l) be the third derivative of s(l). Factor o(r).
2*r**3*(r - 2)/11
Let p be (-6)/63*12/(-8). Let b(k) be the first derivative of -2/21*k**3 + p*k**2 + 2 + 0*k. Solve b(t) = 0 for t.
0, 1
Let l(z) be the third derivative of -z**8/1176 - z**7/245 - z**6/140 - z**5/210 - 9*z**2 - 3*z. Determine w so that l(w) = 0.
-1, 0
Let f(s) = 2*s**2 - 2*s - 2. Let c be f(-1). Suppose -2*a - 2/3*a**3 + 2/3 + 2*a**c = 0. What is a?
1
Suppose -3*b - 2*b - 2*r + 3 = 0, 3*b + 2*r = 1. Let k be -2 - b/7*-16. Suppose -2/7 - k*a**2 + 4/7*a = 0. Calculate a.
1
Determine q, given that 8/5 + 4*q + 4/5*q**3 + 16/5*q**2 = 0.
-2, -1
Let f be (3/(-45))/(12/(-15)). Let l(j) be the third derivative of -1/3*j**3 - f*j**4 - 2*j**2 + 1/15*j**5 + 0 + 0*j. Determine g, given that l(g) = 0.
-1/2, 1
Let x(m) be the second derivative of 5*m**4/42 + m**3/7 - 2*m**2/7 + 4*m. Factor x(w).
2*(w + 1)*(5*w - 2)/7
Let g(f) be the first derivative of f**3 - 4/5*f**5 - 5/2*f**2 + 3 + f + 5/4*f**4. Determine m so that g(m) = 0.
-1, 1/4, 1
Factor -31/7*v + 156/7*v**2 + 2/7 - 36*v**3.
-(6*v - 1)**2*(7*v - 2)/7
Let l(q) = 15*q**3 - 9*q**2 - q. Let w(f) = 22*f**3 - 14*f**2 - f. Let c(v) = 7*l(v) - 5*w(v). Factor c(g).
-g*(g - 1)*(5*g - 2)
Suppose -5*u + 5*b = -25, -3*u - b = 5 - 4. Factor u - 1/3*t**2 - 2/3*t.
-(t - 1)*(t + 3)/3
Let u(m) be the second derivative of -4*m**6/45 - m**5/30 + m**4/4 + m**3/9 - m**2/6 + 11*m. Determine h so that u(h) = 0.
-1, -1/2, 1/4, 1
Let a(x) = x + 13. Let s be a(-9). Factor -2*n**5 - s*n**3 - 2*n**3 - 10*n**4 - 8*n**2 - 7*n**3 - 3*n**3.
-2*n**2*(n + 1)*(n + 2)**2
Let x(u) be the second derivative of u**8/3360 + u**7/1260 - u**6/180 - u**4/4 - u. Let n(g) be the third derivative of x(g). Factor n(t).
2*t*(t - 1)*(t + 2)
Let q(p) be the first derivative of -2*p**5/15 - p**4/6 + 2*p**3/3 + p**2/3 - 4*p/3 + 1. Find s, given that q(s) = 0.
-2, -1, 1
Let m(t) be the first derivative of -t**5/20 - t**4/4 - 5*t**3/12 - t**2/4 + 8. Suppose m(r) = 0. What is r?
-2, -1, 0
Let r be (1 + (-21)/9)*-12. Find n, given that -64/3*n - 2/3*n**4 - r*n**2 - 16/3*n**3 - 32/3 = 0.
-2
Let r = 1/2 - -5/6. Find a, given that 1 - r*a + 1/3*a**2 = 0.
1, 3
Suppose -3*z + 4*z - 3 = 0. Suppose -2*m = z*x - 1 + 8, -5*m + 2*x + 30 = 0. Factor -10*o**3 - o - 14*o**m - 6*o**5 + o - 2*o**2.
-2*o**2*(o + 1)**2*(3*o + 1)
Let b(m) be the third derivative of 0 - 1/84*m**4 + 0*m**3 - 1/105*m**5 - 1/420*m**6 + 0*m - 2*m**2. Factor b(x).
-2*x*(x + 1)**2/7
Factor -5/8*p - 1/4 + 7/8*p**2.
(p - 1)*(7*p + 2)/8
Factor -40*h + 41 + 25*h**2 - 5*h**3 + 0*h**3 - 21.
-5*(h - 2)**2*(h - 1)
Let s(l) be the third derivative of 1/105*l**7 + 0*l**4 - 1/60*l**6 + 0*l**3 + 3*l**2 + 0 +