ctor -2/5*g**5 + 0 + 0*g - 2/5*g**3 - 4/5*g**4 + 0*g**2.
-2*g**3*(g + 1)**2/5
Suppose 346 = 53*p + 81. What is m in 4/5 - 6/5*m**4 - 18/5*m + 4/5*m**p + 26/5*m**2 - 2*m**3 = 0?
-2, 1/2, 1
Suppose -3*l - 5*v = 2*l - 40, -5*v = -20. Suppose -b + 4 = -n, -b + 2 - l = 2*n. What is a in -a**4 - 8*a**3 - 22*a**b + 0 - 32*a - 16 - 2*a**2 = 0?
-2
Suppose -3*r - 3*r + 24 = 0. Let s(u) be the first derivative of -1/2*u - 3/4*u**2 - 1/8*u**r - 1 - 1/2*u**3. Determine t, given that s(t) = 0.
-1
Let r be 1 - 3 - -4 - (-60)/18. Factor 6*c**4 + 0 - r*c**2 + 8/3*c - 2*c**3.
2*c*(c + 1)*(3*c - 2)**2/3
Let s(t) be the first derivative of -4 - 1/16*t**4 - 15/8*t**2 - 7/12*t**3 - 9/4*t. Factor s(n).
-(n + 1)*(n + 3)**2/4
Let l = 77/62 - -8/31. Let h(m) be the first derivative of -1/2*m**6 + 3/5*m**5 - 2 + 0*m + 0*m**3 + l*m**4 + 0*m**2. Let h(j) = 0. What is j?
-1, 0, 2
Let x(j) be the third derivative of j**7/630 - 4*j**2. Solve x(v) = 0 for v.
0
Let h(m) be the third derivative of -21/80*m**6 - m**2 - 3/8*m**4 + 109/240*m**5 + 1/6*m**3 + 0 + 7/120*m**7 + 0*m. Factor h(r).
(r - 1)**2*(7*r - 2)**2/4
Factor 3*n**4 - 14*n**3 - 9*n - 9*n**2 + 21*n + 12 + 8*n**3.
3*(n - 2)**2*(n + 1)**2
Let g(l) be the third derivative of -l**6/3060 + l**5/510 + 7*l**3/6 - 5*l**2. Let r(f) be the first derivative of g(f). Solve r(a) = 0 for a.
0, 2
Determine h, given that 8/7*h - 6/7*h**2 + 8/7 - 2/7*h**4 - 8/7*h**3 = 0.
-2, -1, 1
Suppose -6 = -5*m - 1. Factor -y**3 - m - 2*y**2 - y**5 + 4*y - y - y**3 - 30*y**4 + 33*y**4.
-(y - 1)**4*(y + 1)
Let x(v) = 3*v**2 + 4*v - 1. Let b be x(-2). Find o, given that 0 + 0*o + 0*o**2 + 2*o**5 - 2/3*o**b + 4/3*o**4 = 0.
-1, 0, 1/3
Let i = -63 - -42. Let l be i/6*12/(-21). Let -p - 2*p**l + 7*p**3 - 3*p**2 + 0*p + 3*p**2 - 4*p**4 = 0. What is p?
-1/4, 0, 1
Let m(l) be the second derivative of 0*l**3 + 1/2*l**2 + 0 - 1/12*l**4 - l. Factor m(c).
-(c - 1)*(c + 1)
Let 338 + 116*w**2 - 75*w + 23*w - 114*w**2 = 0. What is w?
13
Let n(f) = -291*f**3 - 381*f**2 - 141*f + 21. Let g(s) = 29*s**3 + 38*s**2 + 14*s - 2. Let q(c) = 21*g(c) + 2*n(c). Factor q(x).
3*x*(3*x + 2)**2
Let y be -3 - -3 - 32/(-5). Let n(x) be the first derivative of 2/5*x - 12/5*x**2 + y*x**3 + 1 - 32/5*x**4. Determine z, given that n(z) = 0.
1/4
Let o(s) be the first derivative of 0*s**4 + 0*s**3 - 1 + 1/60*s**6 - s**2 - 1/15*s**5 + 0*s. Let w(a) be the second derivative of o(a). Solve w(d) = 0.
0, 2
Let i be (-12*(-5)/40)/2. What is k in i + 0*k - 3/4*k**2 = 0?
-1, 1
Let w(p) be the first derivative of -p**6/180 + p**5/60 - p**3/3 - 3. Let v(s) be the third derivative of w(s). Suppose v(m) = 0. What is m?
0, 1
Suppose 32*a - 9 = 29*a. Factor 0 - 1/2*d**2 + 1/4*d**a + 0*d.
d**2*(d - 2)/4
Suppose 4*f - 10 = -5*b + 3*f, 0 = -2*b - f + 4. Determine u so that -u + 5*u + 0*u**2 - b*u**2 = 0.
0, 2
Factor -45*y**2 - 9*y + 1 + 0*y - 7 + 42*y**2.
-3*(y + 1)*(y + 2)
Let i(c) be the second derivative of -c**4/18 + 2*c**3/9 - c**2/3 - 19*c. Solve i(l) = 0.
1
Let p(d) = d**3 + d**2 - 2*d + 1. Let h(z) = -3*z**3 - 5*z**2 + 5*z + 1. Let v(g) = 5*h(g) + 10*p(g). Find u, given that v(u) = 0.
-3, -1, 1
Let y(w) = -w**2 - 4*w + 2. Let b be y(-4). Suppose 0 = -b*p - 2*u, 4*u - 2*u = -3*p. Factor -10/3*t**4 - 4/3*t**2 + 14/3*t**3 + p*t + 0.
-2*t**2*(t - 1)*(5*t - 2)/3
Let q(w) be the third derivative of -w**6/120 - w**5/60 + w**4/24 + w**3/6 + 2*w**2. Find x such that q(x) = 0.
-1, 1
Determine p so that 3/2*p**2 + 0 + 1/3*p = 0.
-2/9, 0
Suppose 0 = -13*d + 118 - 53. Find b, given that 2/3 + 0*b**4 + b - 4/3*b**3 - 2/3*b**2 + 1/3*b**d = 0.
-1, 1, 2
Factor -1/3*s**4 + 1/3*s**2 + 0 + 2/3*s - 2/3*s**3.
-s*(s - 1)*(s + 1)*(s + 2)/3
Let d(x) be the second derivative of x**4/3 - 2*x**3/3 - 4*x**2 - 19*x. Factor d(a).
4*(a - 2)*(a + 1)
Let o(k) be the third derivative of -k**8/112 + 3*k**7/70 - k**6/40 - 3*k**5/20 + k**4/4 + 7*k**2. Determine y, given that o(y) = 0.
-1, 0, 1, 2
Let i be 1/(-1 + (-17)/(-16)). Let b be 8/i*1/2. Suppose -1/2*p + 1/4 + b*p**2 = 0. What is p?
1
Let w(i) = -2*i. Let k(q) = -q**2 + 5*q + 1. Let o(b) = 2*k(b) + 5*w(b). Solve o(y) = 0 for y.
-1, 1
Let j be ((-4)/16*-5 - -1) + -2. Let u(z) be the first derivative of -2 + 0*z - 1/2*z**2 + j*z**4 + 0*z**3. Let u(c) = 0. What is c?
-1, 0, 1
Let c(f) = f**2 - 3*f + 6. Let k(y) = 2*y**2 - 5*y + 13. Let s(l) = -5*c(l) + 2*k(l). Let z be s(4). Factor 0*a - 1/5*a**3 + 0 + z*a**2.
-a**3/5
Let h(n) be the first derivative of -n**3/15 + 2*n**2/5 + n + 2. Find d such that h(d) = 0.
-1, 5
Suppose 0 = -5*a + 4 + 11. Suppose 4 - a + 3*r**2 - 3 + 5 - 6*r = 0. What is r?
1
Suppose 9/5*r**4 + 0 + 0*r - 3/5*r**3 + 3/5*r**5 - 9/5*r**2 = 0. Calculate r.
-3, -1, 0, 1
Let j be (-6)/10 - (-5 - (-2 - 2)). Suppose 0 = -2*u - 2*u. Solve 2/5*g**3 - 2/5*g**4 - j*g**5 + 2/5*g**2 + u*g + 0 = 0.
-1, 0, 1
Factor -3*l**2 - 3*l**3 - 1 + 13 + 24*l - 12*l.
-3*(l - 2)*(l + 1)*(l + 2)
Let k(u) be the second derivative of -2*u**2 + 0 + u**3 + 5*u + 1/2*u**4 - 1/5*u**5. Factor k(v).
-2*(v - 2)*(v + 1)*(2*v - 1)
Let l = -8/15 - -28/15. Factor 1/3*o**2 + l*o + 4/3.
(o + 2)**2/3
Suppose 2*p - 5*d = -5, -5*d + 4 - 9 = 0. Let q be 1 + p/(-15) + -1. Factor 0 - q*v**2 + 1/3*v.
-v*(v - 1)/3
Let j(g) be the second derivative of g**8/13440 - g**7/5040 - g**6/720 - 7*g**4/12 - 7*g. Let h(y) be the third derivative of j(y). Let h(q) = 0. Calculate q.
-1, 0, 2
Let s(h) be the third derivative of -h**6/300 + h**5/30 - h**4/15 + 18*h**2. Determine g so that s(g) = 0.
0, 1, 4
Let h(i) be the second derivative of 0 - 1/24*i**4 + 0*i**2 - 1/24*i**3 - 3*i - 1/80*i**5. Factor h(y).
-y*(y + 1)**2/4
Let r(l) = -l**2 + 5*l - 4. Let u(h) = -h**2 + 4*h - 3. Let m(o) = 3*r(o) - 4*u(o). Let b(x) = 5*x**2 - 8*x + 4. Let d(v) = b(v) - 4*m(v). Solve d(w) = 0.
2
Let y = 76 - 299/4. Factor 9/4 - y*a**2 - 3/4*a - 1/4*a**3.
-(a - 1)*(a + 3)**2/4
Factor -52/7*u - 2/7*u**2 - 338/7.
-2*(u + 13)**2/7
Factor 26*s**2 - 26*s**3 + 283 + 6*s**4 - 283 - 6*s.
2*s*(s - 3)*(s - 1)*(3*s - 1)
Let 8*j - 28*j**2 + 11*j**4 + 4*j**5 + 36*j**3 + j**5 - 31*j**4 - j**5 = 0. What is j?
0, 1, 2
Let f(n) be the third derivative of 8/525*n**7 + 2*n**2 + 0*n**3 + 1/280*n**8 + 0*n + 0 + 7/300*n**6 + 1/75*n**5 + 0*n**4. Factor f(l).
2*l**2*(l + 1)**2*(3*l + 2)/5
Let y = 10 - 9. Let i be y/1 - (-2 + 1). Factor 3*p**2 + 6*p - 4*p + 6 + 7*p + 0*p**i.
3*(p + 1)*(p + 2)
Let z(b) be the third derivative of -b**5/12 - 5*b**4/3 - 40*b**3/3 - b**2. What is q in z(q) = 0?
-4
Let c = 395 + -5923/15. Let u(h) be the first derivative of -c*h**3 + 0*h + 1/5*h**2 + 1. Factor u(j).
-2*j*(j - 1)/5
Factor -2/9*c**4 + 2/9*c + 0 + 2/3*c**3 - 2/3*c**2.
-2*c*(c - 1)**3/9
Let y(l) be the first derivative of -2*l**5/25 - l**4/10 + 4*l**3/15 - 10. Determine f so that y(f) = 0.
-2, 0, 1
Let l(o) = 16*o**2 + 6*o. Let q(a) = -5*a**2 - 2*a. Suppose -5*c - 2 = -17. Let d(i) = c*l(i) + 10*q(i). Factor d(m).
-2*m*(m + 1)
Solve -4/3*x**3 + 2/3*x**2 + 0 + 2/3*x**4 + 0*x = 0.
0, 1
Let c = 5/4 - -1/4. Let u(y) be the first derivative of -4/3*y**3 + 1 + y**2 + 0*y - c*y**4. Factor u(d).
-2*d*(d + 1)*(3*d - 1)
Let r(g) be the second derivative of g**6/120 + 3*g**2/2 - 5*g. Let i(d) be the first derivative of r(d). Suppose i(s) = 0. Calculate s.
0
What is y in 9/2*y**3 + 3*y**2 + 0 + 0*y**4 - 3/2*y**5 + 0*y = 0?
-1, 0, 2
Let u be (2 - 8/9) + (-42)/(-63). Let u + 16/9*c**4 - 56/9*c - 50/9*c**3 + 76/9*c**2 - 2/9*c**5 = 0. Calculate c.
1, 2
Factor -4/9*f**2 + 32/9*f + 0.
-4*f*(f - 8)/9
Let c = 1702/63 - 238/9. Let s = -48 + 338/7. Factor 0*u + 0 - s*u**3 - c*u**2.
-2*u**2*(u + 2)/7
Let a(n) = 5*n**2 + 2*n - 1. Let l be a(1). Let c be (2/l)/((-40)/(-30)). Solve r**3 - c*r**2 - r + 1/4 = 0 for r.
-1, 1/4, 1
Let j(a) be the second derivative of -a**5/4 + 5*a**4/4 + 7*a. Determine i, given that j(i) = 0.
0, 3
Let l(d) be the third derivative of -1/6*d**3 - 1/24*d**4 + 0*d - 1/60*d**5 + 0 + 2*d**2 - 1/360*d**6. Let s(x) be the first derivative of l(x). Factor s(m).
-(m + 1)**2
Suppose 6*x + 8 = 5*x. Let i be ((-1)/2 - 0)*x. Let -3*a**i - a**5 + 5*a**2 - 4*a**2 - a**5 = 0. What is a?
-1, 0, 1/2
Let h = 244/6447 - -3/307. Let b(i) be the second derivative of 0 + i + 0*i**2 + h*i**3 + 1/42*i**4. What is v in b(v) = 0?
-1, 0
Let d(r) = 4*r + 102. Let p be d(-25). Find l such that 1/2*l*