0. What is o?
-1, 0, 1/5
Let m(d) be the first derivative of -d**4/2 + 22*d**3/15 - 2*d**2/5 + 11. Suppose m(r) = 0. Calculate r.
0, 1/5, 2
Let u(f) be the third derivative of f**7/315 + 23*f**6/720 + 7*f**5/180 - 5*f**4/144 + 52*f**2. Determine b, given that u(b) = 0.
-5, -1, 0, 1/4
Let d = 38 - 36. Let x(o) be the first derivative of d - 1/9*o**3 - 1/6*o**2 + 0*o. Factor x(p).
-p*(p + 1)/3
Suppose 2*d = 38 - 40. Let b be 9/2 - (1 - d). Solve x + b*x**2 + 0 = 0.
-2/5, 0
Suppose 3*f = -2*f - 5. Let i be (-28)/(-35) - f/5. Solve 0*q**2 + i + 1 - 2*q**2 = 0 for q.
-1, 1
Let t(a) = -3*a**4 - 2*a**3 - a**2 + 2*a - 2. Let h(q) = 4*q**4 + 3*q**3 + 2*q**2 - 3*q + 3. Let z(p) = 2*h(p) + 3*t(p). Determine j, given that z(j) = 0.
-1, 0, 1
Let b be 10/(-4)*(-32)/60. What is k in 14/3*k**5 + 0*k + 0 - 14/3*k**3 - 4/3*k**4 + b*k**2 = 0?
-1, 0, 2/7, 1
Let s = 1415/609 + 2/203. Suppose 0 - s*c**2 + c**3 - 5/3*c**5 + 2/3*c + 7/3*c**4 = 0. Calculate c.
-1, 0, 2/5, 1
Let h(l) be the first derivative of -5*l**2 - 1/2*l**4 - 4 - 8/3*l**3 - 4*l. Suppose h(p) = 0. What is p?
-2, -1
Let f be 0 + 0 - 0/(-2). Suppose f = -5*b + 20, -3*q - 5*b = 7 - 36. Solve q + 3 - 6 - g**2 - g**3 = 0 for g.
-1, 0
Suppose -4*r = -2*r - 4. Suppose -h + 3*p = 12, 3*p - 7 = 5. Factor 1/5*w + h - 1/5*w**r.
-w*(w - 1)/5
Let x be 688/160 - 3/2. Factor 6/5*u**4 - 4/5 + 6/5*u**2 + x*u**3 - 6/5*u.
2*(u + 1)**3*(3*u - 2)/5
Suppose 2*c + 33 = 13*c. Factor 1/2*n + 0 + 1/4*n**c + 3/4*n**2.
n*(n + 1)*(n + 2)/4
Let d = 16 - 20. Let j be 65/(-91)*14/d. Factor 1/4 + 5/4*n**4 - 1/4*n**5 - 5/2*n**3 - 5/4*n + j*n**2.
-(n - 1)**5/4
Let j(y) = -y**2 + y. Let t(x) = 2*x**3 + 14*x**2 - 2*x + 2. Suppose -v = -0*v - 8. Let n(u) = v*j(u) + t(u). Factor n(k).
2*(k + 1)**3
Let z(u) = u**2 - 3*u - 6. Let o be z(5). Suppose 0 = -o*n + 8. Factor -24/5*p**n - 8/5*p - 18/5*p**3 + 0.
-2*p*(3*p + 2)**2/5
Let s(z) = -z - 7. Let h be s(-5). Let k be 0/7 - h/4. Factor -k*q**2 + 0 - 1/2*q.
-q*(q + 1)/2
Determine l, given that -2/3*l**2 - 2/3*l**4 + 0 + 0*l - 4/3*l**3 = 0.
-1, 0
Let v(u) = -2*u**3 - 18*u**2 + 18*u - 10. Let o(c) = -c**3 - 17*c**2 + 17*c - 9. Let s(q) = 6*o(q) - 5*v(q). Solve s(t) = 0 for t.
1
Let d(m) be the second derivative of -3*m + 1/100*m**5 - 1/60*m**4 + 0 + 1/10*m**2 - 1/30*m**3. Find u such that d(u) = 0.
-1, 1
Let v(o) be the second derivative of -2*o + 0*o**2 + 1/60*o**5 - 1/9*o**3 + 0 - 1/36*o**4. Factor v(s).
s*(s - 2)*(s + 1)/3
Let z be -5*1*1*-1. Let a = -2 + z. Factor -2*w - 2*w**5 + w + w**5 + 2*w**a.
-w*(w - 1)**2*(w + 1)**2
Find k such that 24/7*k + 0 + 3/7*k**2 = 0.
-8, 0
Suppose -2*w + w = 4*x - 55, 3*x + 2*w = 35. Suppose -x*o + 16*o = 0. Factor -1/2*s**4 + 0*s**2 + 0 + o*s - 1/6*s**3.
-s**3*(3*s + 1)/6
Let y(q) be the first derivative of -q**7/42 + 4*q**6/45 - 7*q**5/60 + q**4/18 - 2*q + 2. Let n(a) be the first derivative of y(a). Factor n(v).
-v**2*(v - 1)**2*(3*v - 2)/3
Let a be (-80)/(-140) - 6/(-63). Factor 0 - 4/3*n - 2*n**2 + a*n**4 + 0*n**3.
2*n*(n - 2)*(n + 1)**2/3
Let x(g) be the first derivative of -g**3/3 - 2*g**2 - 4*g - 4. Factor x(w).
-(w + 2)**2
Suppose -20/3*f + 4/3 + 23/3*f**2 - 7/3*f**3 = 0. Calculate f.
2/7, 1, 2
Let b(r) be the third derivative of 0 + 0*r + 4*r**2 - 2/33*r**3 - 1/44*r**4 - 1/330*r**5. Solve b(a) = 0 for a.
-2, -1
Let j be (5/(-45)*3)/(1/(-6)). Factor -10/3*v - 4/3*v**j + 8/3*v**3 - 4/3 + 8/3*v**4 + 2/3*v**5.
2*(v - 1)*(v + 1)**3*(v + 2)/3
Let l(c) be the first derivative of c**5/60 + c**4/24 - c**2/2 + 1. Let d(k) be the second derivative of l(k). Solve d(q) = 0.
-1, 0
Find x, given that -2*x**2 + 5 - 3 - 2 + 2 = 0.
-1, 1
Factor -95 + 20 - 2*x**2 - x**2 + 30*x.
-3*(x - 5)**2
Suppose 4*q + 12 = 4*j - 0*j, -j = -5*q - 15. Let s(y) be the third derivative of 0*y**3 + 0 - 1/16*y**4 - 2*y**2 + j*y + 1/80*y**5. Factor s(x).
3*x*(x - 2)/4
Let q(m) be the second derivative of -m**4/36 + m**2/6 - 2*m. Suppose q(k) = 0. What is k?
-1, 1
Let i = -27 + 31. Suppose 0 = -3*w + i*w - 2. Find j such that -3/4*j**w + 3/4*j - 1/4 + 1/4*j**3 = 0.
1
Suppose -q - 3*s + 6 = 3*q, -q = -4*s - 11. Suppose 0*g + q*g = 0. Let -a**2 + g*a**2 + 4*a**3 - a**2 - 2*a**4 = 0. What is a?
0, 1
Let h(c) = c + 17. Let z be h(-15). Factor -1/2*b**z - 2*b - 2.
-(b + 2)**2/2
Let n(a) be the first derivative of a**3 + 0*a + 1 - 3*a**2 + 3/4*a**4. Factor n(c).
3*c*(c - 1)*(c + 2)
Let n = 32 - 94/3. Let n*k**2 + 0 + 2/3*k = 0. Calculate k.
-1, 0
Factor -2 - 4*q**3 - 2*q**2 + 4*q**4 - q**5 + 6*q**4 - 2*q**4 + 5*q - 4*q**4.
-(q - 2)*(q - 1)**3*(q + 1)
Let i be (-8)/(-14)*(-14)/(-4). Suppose 8/7 + 6*z**i - 18/7*z**3 - 32/7*z = 0. What is z?
2/3, 1
Let a(u) be the first derivative of -3*u**7/98 + u**6/5 - 3*u**5/7 + 2*u**4/7 - 4*u + 6. Let w(n) be the first derivative of a(n). Solve w(h) = 0 for h.
0, 2/3, 2
Let h(f) be the second derivative of f**7/126 - f**6/90 - f**5/20 + f**4/36 + f**3/9 - 6*f. Determine b so that h(b) = 0.
-1, 0, 1, 2
Let y(m) = -m**5 - 12*m**4 - 13*m**3 - 20*m**2 - 8*m - 5. Let c(p) = -p**4 + p**3 - 1. Let j(r) = 5*c(r) - y(r). Determine i so that j(i) = 0.
-2, -1, 0
Let j be ((-72)/(-32))/(2/(-8)). Let o = 11 + j. Factor -4/9 + 4/9*l**o - 2/3*l.
2*(l - 2)*(2*l + 1)/9
Let f(r) = r + 8. Let b be f(-5). Suppose 10*y**b - y - 15*y**3 + y + 2*y**2 - 7*y**4 = 0. Calculate y.
-1, 0, 2/7
Suppose 8*c**2 + c**3 + 73*c + 7*c**3 - 2*c**3 - 75*c - 4 = 0. What is c?
-1, 2/3
Suppose 3 - 2 = -4*q - 5*l, -4*l - 20 = 0. Suppose 0 = 2*j + 5*k, 2*j = q*j - k. Factor -2/5*x**2 + j + 2/5*x.
-2*x*(x - 1)/5
Let r(l) be the first derivative of 12*l**5/35 - 3*l**4/7 - 9*l**3/7 + 3*l**2/14 + 6*l/7 - 12. Let r(j) = 0. What is j?
-1, -1/2, 1/2, 2
Let m(i) be the second derivative of i**5/90 - i**4/27 - 2*i. Factor m(c).
2*c**2*(c - 2)/9
Let z(h) be the first derivative of h**8/1176 - 2*h**7/735 + h**6/420 - 3*h**2/2 - 3. Let i(j) be the second derivative of z(j). Factor i(o).
2*o**3*(o - 1)**2/7
Let d be 0 - (1082/2)/(-1). Let q = 3793/7 - d. Factor 0 - 2/7*v**2 + 0*v - 6/7*v**4 + 2/7*v**5 + q*v**3.
2*v**2*(v - 1)**3/7
Let m be (-1)/(-1) - (-4)/4. Factor -2*h**5 - 23 + 49 - 25 + 4*h**2 - m*h**3 - 5*h**4 + 4*h.
-(h - 1)*(h + 1)**3*(2*h + 1)
Let z(b) be the third derivative of -b**8/8400 + b**7/2100 + b**3/6 + 2*b**2. Let h(v) be the first derivative of z(v). Factor h(w).
-w**3*(w - 2)/5
Let o(m) be the first derivative of -1 - 2/11*m**2 + 1/11*m**4 + 2/55*m**5 - 2/11*m + 0*m**3. Factor o(f).
2*(f - 1)*(f + 1)**3/11
Let o(q) be the second derivative of 0 + 3/4*q**4 + 0*q**2 + 9*q + 1/10*q**6 - 9/20*q**5 - 1/2*q**3. Factor o(g).
3*g*(g - 1)**3
Let n(l) = 36*l**3 - 16*l**2 - 20*l + 16. Let z(m) = -7*m**3 + 3*m**2 + 4*m - 3. Let c(u) = 3*n(u) + 16*z(u). Factor c(i).
-4*i*(i - 1)*(i + 1)
Let b = 13 - 8. Suppose 0 = 5*k - 10*i + b*i - 10, -i + 4 = 2*k. Factor -k*r**4 + 2*r - 6*r**2 + 0*r**4 + 4*r**3 + 2*r**3.
-2*r*(r - 1)**3
Let r = 35 - 30. Let w(s) be the third derivative of 0*s + 1/300*s**6 - 4*s**2 + 1/75*s**r + 1/60*s**4 + 0*s**3 + 0. Find i such that w(i) = 0.
-1, 0
Suppose 0*l = l - 2*b - 4, 5*b = -5*l + 20. Let o(t) be the first derivative of 3/4*t**l - 3 - 3/2*t**2 - 2*t + 1/3*t**3 + 1/5*t**5. Factor o(h).
(h - 1)*(h + 1)**2*(h + 2)
Factor -12*n + 12 - 14*n - 3*n**2 + 6*n**3 + 12*n**2 + 2*n - 3*n**4.
-3*(n - 2)*(n - 1)**2*(n + 2)
Let f be 2/12*7 - (2 - 1). Factor 0 + f*u - 1/6*u**3 + 0*u**2.
-u*(u - 1)*(u + 1)/6
Let h(r) be the first derivative of 3*r**4 + 6*r - 1/2*r**6 - 9/2*r**2 + 3 - 2*r**3 + 0*r**5. Factor h(v).
-3*(v - 1)**3*(v + 1)*(v + 2)
Let r(i) be the first derivative of 46/35*i**5 - 8/7*i - 20/7*i**2 - 38/21*i**3 + 1 + 13/14*i**4 + 1/3*i**6. Solve r(t) = 0.
-2, -1, -2/7, 1
Let p(b) be the third derivative of b**6/60 + 2*b**2. Suppose p(t) = 0. What is t?
0
Let r(c) be the second derivative of -3*c**5/20 + c**4/4 + c**3 - 4*c. Factor r(j).
-3*j*(j - 2)*(j + 1)
Let n = -4 - -16. Let -46*d + 3*d**4 - 30*d**3 + 81 + n*d**2 + 96*d**2 - 116*d = 0. What is d?
1, 3
Let b(p) be the second derivative of 1/9*p**3 + 1/18*p**4 + 0*p**2 - 1/45*p**6 + 3*p - 1/30*p**5 + 0. Determine g so that b(g) = 0.
-1, 0, 1
Let q = 46 - 48. Let t be q/(-3) + 117/27. Solve 3/2*b**t - 4*b**3 + 2*b**2 + 0 + 1/2*b**4 + 0*b = 0 for b.
-2, 0, 2/3, 1
Suppose 3*p = 4*x, -2*p + 2*x - 1 = -x. Factor y**4 - 6*y**4 - p*y