m(y) = -23*y**4 + 8*y**3 + 53*y**2 - 22*y. Let f(x) = -3*m(x) + 8*n(x). Suppose f(u) = 0. What is u?
-2, 0, 1
Let n(u) be the first derivative of 2*u**5 + 5*u**4/4 - 40*u**3/3 - 10*u**2 + 24. Factor n(l).
5*l*(l - 2)*(l + 2)*(2*l + 1)
Let a(i) be the first derivative of -2*i**3/21 + 10*i**2/7 - 50*i/7 - 38. Factor a(n).
-2*(n - 5)**2/7
Let c(d) be the first derivative of 0*d**2 + 0*d - 2 + 6/5*d**5 - 3/2*d**4 - 1/3*d**6 + 2/3*d**3. Factor c(q).
-2*q**2*(q - 1)**3
Let s = -2/307 + 628/2149. Let j = -145/7 - -21. Factor -j*d**2 + s + 0*d.
-2*(d - 1)*(d + 1)/7
Let v(b) be the first derivative of -125*b**6/6 - 45*b**5 - 30*b**4 - 20*b**3/3 - 3. Factor v(l).
-5*l**2*(l + 1)*(5*l + 2)**2
Find k such that -2*k - 8*k + 6*k**3 + k**2 - k**3 - 6*k**2 = 0.
-1, 0, 2
Let u be 4*1*2/4. Let w = u + 0. Determine q, given that 0*q + 2/3*q**2 + 0 - 2*q**3 + w*q**4 - 2/3*q**5 = 0.
0, 1
Let r(o) be the first derivative of -49*o**6/8 + 147*o**5/20 + 159*o**4/16 - 53*o**3/4 - 3*o**2/2 + 3*o - 9. Determine k so that r(k) = 0.
-1, -2/7, 2/7, 1
Let d(r) = r + 1. Let k(g) = -3*g**2 + 21*g + 12. Suppose h + h = 2. Let i(a) = h*k(a) - 15*d(a). Factor i(p).
-3*(p - 1)**2
Factor 2*r - 6*r - 12*r**3 + 6*r**2 + 4*r**4 - r**2 + 7*r**2.
4*r*(r - 1)**3
Let s(c) be the second derivative of c**4/16 + 3*c**3/8 + 3*c**2/4 - 2*c. Solve s(i) = 0.
-2, -1
Let s be (-1255)/(-20) + (-3)/(-12). Factor 65*h**2 + 4*h - s*h**2 - 2*h - 4.
2*(h - 1)*(h + 2)
Let r(p) be the second derivative of -p**6/10 - 9*p**5/10 - 3*p**4 - 5*p**3 - 9*p**2/2 - 24*p. Suppose r(i) = 0. Calculate i.
-3, -1
Let d(c) be the second derivative of -7/10*c**6 - 9/20*c**5 + 0*c**2 + 7/4*c**4 + 5/14*c**7 + 0 - c**3 + c. Solve d(y) = 0 for y.
-1, 0, 2/5, 1
Let f be ((-18)/(-12))/((1 - -2) + -2). Factor -1/4*h**5 - f*h**3 + h**4 - 1/4*h + 0 + h**2.
-h*(h - 1)**4/4
Suppose -5*a**2 - 10 + 0 - 25*a**4 + 10 - 20*a**3 - 10*a**5 = 0. Calculate a.
-1, -1/2, 0
Suppose 3*y - 18 = -6*y. Factor 0*h**y + 0 + 0*h + 1/5*h**3.
h**3/5
Let l = 83 - 81. Let s(x) be the first derivative of -3/2*x**4 - 8/3*x**3 - 3 + 3*x**l - x + 9/5*x**5. Solve s(z) = 0.
-1, 1/3, 1
Let i(y) be the second derivative of 6*y - 1/30*y**6 - 1/12*y**4 + 0 + 1/10*y**5 + 0*y**2 + 0*y**3. Solve i(a) = 0.
0, 1
Let v(t) be the first derivative of -2*t**5/5 + 2*t**3/3 - 5. Factor v(i).
-2*i**2*(i - 1)*(i + 1)
Let y = 152 + -150. Factor 0 + 1/2*q + 1/2*q**y.
q*(q + 1)/2
Suppose 18*w - 2 = 16*w. Let u(n) be the first derivative of 1/2*n**4 - n**2 + 0*n**3 - w - 1/5*n**5 + n. Find r, given that u(r) = 0.
-1, 1
Suppose -g = 3 + 1. Let r = g + 4. Suppose r + 2/3*u**4 - 2/3*u + 2*u**2 - 2*u**3 = 0. What is u?
0, 1
Let m = -3017/10 - -302. Let j(b) be the first derivative of m*b**2 + 1/5*b**3 + 1 + 1/5*b + 1/20*b**4. Find i, given that j(i) = 0.
-1
Let h(p) be the first derivative of p**5/20 - 5*p**4/16 + 7*p**3/12 - 3*p**2/8 + 21. Solve h(n) = 0 for n.
0, 1, 3
Let c(l) be the second derivative of -l**5/20 + l**3/2 + l**2 + 22*l. Factor c(m).
-(m - 2)*(m + 1)**2
Let p(r) be the third derivative of 0 + 1/12*r**4 + 1/2*r**3 + 2*r**2 + 0*r - 1/60*r**5. Determine g so that p(g) = 0.
-1, 3
Let z(l) = 24*l**3 + 39*l**2 + 15*l. Let q(b) = b**2 - b - 1. Let i(w) = 3*q(w) - z(w). Factor i(m).
-3*(2*m + 1)**3
Suppose -8*u + 11 = -7*u. Suppose 2 - x**2 - 7*x + x**4 - 5*x**3 + u*x**2 + 0*x**3 - x**2 = 0. What is x?
1, 2
Solve 0*b + 0 + 8/3*b**3 + 16/3*b**5 - 4/3*b**2 + 28/3*b**4 = 0 for b.
-1, 0, 1/4
Let u be 8 + 1029/(-135) - 2/(-9). Factor -u*m**2 - 6/5*m - 3/5.
-3*(m + 1)**2/5
Let r(g) = g**4 + g**2 + g - 1. Let b(o) = 4*o**4 - 10*o**3 - 16*o**2 + 39*o - 19. Let p(a) = b(a) + r(a). Factor p(w).
5*(w - 2)*(w - 1)**2*(w + 2)
Let i(k) be the second derivative of k**4/36 - k**3/6 + k**2/3 + 8*k. Suppose i(r) = 0. Calculate r.
1, 2
Let q(d) = -d**2 + 2*d + 3. Let t(u) = -u**3 - u**2 - u + 3. Let h be t(0). Let y be q(h). Suppose 2/3*j**4 + 0 + 1/3*j + y*j**2 - j**3 = 0. What is j?
-1/2, 0, 1
Let q be 6/2 - 42/15. Find o such that q*o + 0*o**2 - 1/5*o**3 + 0 = 0.
-1, 0, 1
Let l be 2*2*4/144. Let n(j) be the second derivative of -l*j**4 + 2/45*j**6 + 0*j**2 + 0 + 1/9*j**3 - 1/63*j**7 + 2*j + 0*j**5. Factor n(w).
-2*w*(w - 1)**3*(w + 1)/3
Let s be 5/10 - (-2775)/(-14). Let g = 198 + s. Find h, given that 0*h - g*h**2 + 0 = 0.
0
Suppose 35/6*z**4 + 50/3*z**2 - 15*z**3 - 5/6*z**5 - 20/3*z + 0 = 0. What is z?
0, 1, 2
Let y = 85/14 - 32/7. Let d = 115 - 225/2. Find s such that -y*s**3 + 0*s + d*s**4 + 0 - s**2 = 0.
-2/5, 0, 1
Let p(j) = 2*j**2 + 6*j + 4. Let m(r) = -2*r**2 - 6*r - 4. Let a(x) = 6*m(x) + 5*p(x). Let a(z) = 0. Calculate z.
-2, -1
Let a(x) be the first derivative of 1 - 1/5*x**5 - 1/4*x**4 + 0*x**2 + 0*x + 2/3*x**3. Factor a(c).
-c**2*(c - 1)*(c + 2)
Let l(g) be the third derivative of 0 - 3*g**2 + 1/30*g**4 + 0*g**3 - 1/50*g**5 + 1/300*g**6 + 0*g. Find a such that l(a) = 0.
0, 1, 2
Let l(o) be the second derivative of o**6/480 + o**5/120 + o**4/96 + 7*o**2/2 - 3*o. Let z(h) be the first derivative of l(h). Factor z(r).
r*(r + 1)**2/4
Let c(j) be the first derivative of j**5 - 25*j**4/4 - 5*j**3/3 + 25*j**2/2 + 28. Factor c(x).
5*x*(x - 5)*(x - 1)*(x + 1)
Let l(r) be the third derivative of r**7/1260 - r**6/144 + r**5/90 + 9*r**2. Determine g, given that l(g) = 0.
0, 1, 4
Let c(k) be the second derivative of -k**5/12 + 5*k**4/36 - 18*k. Factor c(w).
-5*w**2*(w - 1)/3
Let x = 52 + -46. Let g be ((-2)/42)/(x/(-54)). Factor 6/7*r + 0 - 3/7*r**4 - 6/7*r**3 + g*r**2.
-3*r*(r - 1)*(r + 1)*(r + 2)/7
Let u(v) be the second derivative of -v**8/10080 - v**7/945 - v**6/216 - v**5/90 - v**4/4 + 3*v. Let l(h) be the third derivative of u(h). Factor l(z).
-2*(z + 1)**2*(z + 2)/3
Let t(g) be the second derivative of g**4/12 - g**3/6 - g**2 + 6*g. Let r be t(-1). Suppose r*l - 2/7*l**3 + 0 + 8/7*l**4 + 0*l**2 - 6/7*l**5 = 0. What is l?
0, 1/3, 1
Let l(i) = i**2 + 9*i - 5. Let j be l(-10). Let v(r) be the first derivative of 1/6*r**4 - 1/3*r + 1/15*r**j + 3 - 1/3*r**2 + 0*r**3. Factor v(d).
(d - 1)*(d + 1)**3/3
Let c(v) be the third derivative of -1/840*v**7 + 0*v + 1/24*v**4 - 1/40*v**5 + 0 - 1/24*v**3 + 1/120*v**6 + 8*v**2. What is l in c(l) = 0?
1
Suppose -3*q**2 + 5*q**2 + 4*q**2 - 3*q - 3*q**2 = 0. Calculate q.
0, 1
Let m(r) = -2*r - 4. Let o be m(-4). Let -3*i**4 - 4*i**4 + 2*i**3 - o*i**2 + i**4 + 8*i**3 = 0. Calculate i.
0, 2/3, 1
Let p(r) = 3*r**2 + 0*r**2 + 4*r + 10*r + 3*r**2. Let f(b) = -7*b**2 - 14*b - 1. Let m(h) = -4*f(h) - 3*p(h). Factor m(o).
2*(o + 1)*(5*o + 2)
Let l be 3*1 - (-2 - 1). Let m be (14/(-21))/((-2)/l). Factor 0*u**m - 3/2*u + 2*u**3 + 1/2.
(u + 1)*(2*u - 1)**2/2
Find v such that -2/15*v**5 + 2/15*v**4 + 2/15 - 2/15*v - 4/15*v**2 + 4/15*v**3 = 0.
-1, 1
Find g such that 1/3*g**4 + 0*g + 0*g**3 + 0*g**2 + 0 = 0.
0
Let m(f) be the second derivative of 0 + 1/4*f**4 + 0*f**3 + 2*f + 0*f**2. Let m(z) = 0. Calculate z.
0
Let d(u) be the first derivative of 2*u**3/3 - u**2 - 4*u - 7. Determine o so that d(o) = 0.
-1, 2
Let h(x) be the third derivative of -x**8/840 - x**7/525 + x**6/100 + x**5/150 - x**4/30 - 6*x**2. Find n, given that h(n) = 0.
-2, -1, 0, 1
Let c be 2/90*28 + 8/(-36). Let v(z) be the first derivative of 1/4*z**4 + 0*z - c*z**5 + 0*z**2 - 2 + 1/6*z**6 + 0*z**3. Solve v(y) = 0.
0, 1
Let v = -11/18 + 10/9. Let 0 - 1/2*g**4 + v*g**2 - 1/4*g**5 + 1/4*g + 0*g**3 = 0. Calculate g.
-1, 0, 1
Let w(n) be the third derivative of 5*n**8/168 + 5*n**7/84 + n**6/48 - 24*n**2. Factor w(p).
5*p**3*(p + 1)*(4*p + 1)/2
Let g(p) be the first derivative of 2*p**5/45 - 7*p**4/18 + 34*p**3/27 - 17*p**2/9 + 4*p/3 - 23. Suppose g(t) = 0. Calculate t.
1, 2, 3
Let w(z) be the first derivative of z**8/5040 - z**7/2520 - z**6/1080 + z**5/360 - 2*z**3/3 + 3. Let o(k) be the third derivative of w(k). Solve o(d) = 0.
-1, 0, 1
Factor 0*q**2 - q**2 + 5*q**2 - 54*q**3 + 53*q**3.
-q**2*(q - 4)
Let h(l) be the third derivative of l**5/15 + l**4/2 + 12*l**2. Determine m so that h(m) = 0.
-3, 0
Suppose -3*u + 5*k = 2*u - 70, -u = k - 4. Suppose -4*o = -u + 1. Factor 18/7*j**3 + 4/7*j**o + 24/7*j**4 + 0*j + 10/7*j**5 + 0.
2*j**2*(j + 1)**2*(5*j + 2)/7
Let r(q) be the second derivative of -q**6/540 - q**5/45 - q**4/9 - 2*q**3/3 - q. Let j(g) be the second derivative of r(g). Factor j(f).
-2*(f + 