 - 2)/2
Suppose -2*x - 7 = -4*r - 1, 2*x = -r + 9. Suppose 3*l + 9 = -4*g, 3*g + r = 4*l - 5*l. Let 0 - 2/7*t**2 + 2/7*t**5 + 2/7*t**4 - 2/7*t**3 + g*t = 0. What is t?
-1, 0, 1
Let z(b) = -8*b**5 + 22*b**4 - 44*b**3 + 48*b**2 - 12*b. Let w(a) = a**5 - a**4 - a. Let v(o) = -6*w(o) - z(o). Factor v(h).
2*h*(h - 3)**2*(h - 1)**2
Let d(i) be the first derivative of 5*i**4/4 - 25*i**3/3 + 20*i**2 - 20*i + 20. Find y such that d(y) = 0.
1, 2
Let d(u) = 2*u**2 + 4*u + 3. Suppose 2*g + g = -42. Let m(b) = -10*b**2 - 20*b - 14. Let x(s) = g*d(s) - 3*m(s). Let x(w) = 0. Calculate w.
-2, 0
Let f(n) be the third derivative of n**5/60 - 11*n**4/24 + 2*n**3 - 3*n**2. Let p be f(10). Factor -3*j - j**2 - 7 + p + 3.
-(j + 1)*(j + 2)
Find k, given that -8/13*k**2 - 2/13*k**3 - 6/13*k + 0 = 0.
-3, -1, 0
Let g(q) be the second derivative of -q**7/140 + q**6/300 + q**5/100 + 11*q. Factor g(f).
-f**3*(f - 1)*(3*f + 2)/10
Let y(d) be the second derivative of -7*d + 0 + 1/50*d**5 + 0*d**3 + 0*d**2 + 1/30*d**4. Determine t so that y(t) = 0.
-1, 0
Find p such that 1/5 + 24/5*p**3 + 22/5*p**2 + 8/5*p + 9/5*p**4 = 0.
-1, -1/3
Let a(d) be the third derivative of -d**7/525 + d**6/75 - d**5/50 - 6*d**2. Factor a(f).
-2*f**2*(f - 3)*(f - 1)/5
Let g(u) = 3*u**4 + 5*u**3 - 1. Let y(t) = t**3 - t**2 + 1. Let c be y(-1). Let o(p) = -p**2 + p - 1. Let z(d) = c*o(d) + g(d). Find f such that z(f) = 0.
-1, 0, 1/3
Let u(q) be the second derivative of 5*q**4/12 + 25*q**3/6 - 35*q**2 + 7*q. Suppose u(i) = 0. What is i?
-7, 2
Suppose 0*a + 3*a = 0. What is k in 0*k**2 + a*k**4 + 0 - 1/3*k - 1/3*k**5 + 2/3*k**3 = 0?
-1, 0, 1
Suppose 1 - 9 = -4*m. Suppose -m*v + 6 = v. Factor f**2 + 2*f**v - f**2 + 4*f - 26*f**4 - 10*f**5 - 18*f**3.
-2*f*(f + 1)**3*(5*f - 2)
Suppose 15 = 9*u - 4*u. Factor -4/5*q**4 + 2/5*q + 0 - 2/5*q**5 + 4/5*q**2 + 0*q**u.
-2*q*(q - 1)*(q + 1)**3/5
Let a = 166/3 + -54. Suppose -a*g**2 - 4/3*g + 0 - 1/3*g**3 = 0. Calculate g.
-2, 0
Let b(n) = 44*n**5 - 68*n**4 + 3*n**3 + 22*n**2 + 3*n. Let w(l) = -l**5 + l**4 + l**2. Let m(z) = b(z) - 4*w(z). Factor m(h).
3*h*(h - 1)**2*(4*h + 1)**2
Let g(u) be the third derivative of u**5/6 + 15*u**4/8 - 25*u**3/6 - 8*u**2. Factor g(q).
5*(q + 5)*(2*q - 1)
Let l be 26/120 + 18/(-135). Let f(i) be the first derivative of -1/8*i**4 + l*i**6 + 1/10*i**5 + 1 - 1/6*i**3 + 0*i**2 + 0*i. Factor f(b).
b**2*(b - 1)*(b + 1)**2/2
Let y(o) be the second derivative of -o**7/63 + 2*o**6/45 - o**4/9 + o**3/9 + 2*o. Factor y(v).
-2*v*(v - 1)**3*(v + 1)/3
Suppose -67 = -4*m - 2*h + h, -92 = -5*m - 4*h. Let w be (-12)/56*m/(-6). Factor w*k**2 + 0 + 2/7*k**3 + 2/7*k.
2*k*(k + 1)**2/7
Let m(f) be the first derivative of 7*f**4/3 + f**3 - 2*f**2 + f + 5. Let y(z) be the first derivative of m(z). Solve y(u) = 0 for u.
-1/2, 2/7
Let n = 449 - 1795/4. Suppose 1/4*c**5 + 3/4*c**3 + 0*c + 0 + 3/4*c**4 + n*c**2 = 0. What is c?
-1, 0
Let t be (-2 - -3 - -2)/3. Let z be (t/(-4))/((-21)/112). Factor z + 38/3*r**3 - 14/3*r**4 - 10*r**2 + 2/3*r.
-2*(r - 1)**3*(7*r + 2)/3
Let a(z) be the first derivative of -z**6/240 + z**5/80 + z**4/32 - z**3/12 - 9*z**2/2 + 7. Let b(s) be the second derivative of a(s). Factor b(d).
-(d - 2)*(d + 1)*(2*d - 1)/4
Let q = -1217 - -1219. Find n such that 1/4*n + 0 - 1/4*n**q = 0.
0, 1
Let r(f) be the second derivative of 4*f**6/15 - f**5/5 - 2*f**4/3 + 2*f**3/3 - 8*f. Factor r(a).
4*a*(a - 1)*(a + 1)*(2*a - 1)
Factor 0*g**3 - 2*g**4 - 3*g**3 + g + 2*g**2 + 5*g**3 - 3*g**3.
-g*(g - 1)*(g + 1)*(2*g + 1)
Let c be (1 + 1)/((-4)/6). Let r(u) = 7*u**2 - u + 4. Let z(x) = -6*x**2 - 3. Let w(v) = c*r(v) - 4*z(v). Factor w(i).
3*i*(i + 1)
Let z(h) be the first derivative of 0*h**4 + 0*h**2 + 2/9*h**3 - 1/15*h**5 + 3 - 1/3*h. Factor z(q).
-(q - 1)**2*(q + 1)**2/3
Let c(j) be the first derivative of 3/7*j**2 - 2/7*j - 2/7*j**3 + 2 + 1/14*j**4. Factor c(d).
2*(d - 1)**3/7
Let a(t) be the third derivative of t**8/30240 - t**6/3240 - t**4/8 + t**2. Let i(k) be the second derivative of a(k). Factor i(b).
2*b*(b - 1)*(b + 1)/9
Let w(p) = -p**2 - 2*p. Let k(m) = 4*m**2 + 8*m + 6. Let b(a) = -k(a) - 6*w(a). Find l such that b(l) = 0.
-3, 1
Suppose 13*k - 6*k = 14. Factor -3/7*p**k + 0*p + 0.
-3*p**2/7
Let y = 12256/7 - 1748. Factor 24/7*w**2 + 6/7*w**4 + 12/7*w + y*w**3 + 2/7.
2*(w + 1)**3*(3*w + 1)/7
Let w be -3 + 23*(-3 - -4). Suppose 0 = y - 5*y + w. Factor 0*b**4 + 0*b**2 + 0 + 1/2*b**3 - 1/4*b**y - 1/4*b.
-b*(b - 1)**2*(b + 1)**2/4
Let c(a) = -8*a**2 + 5*a. Let k(h) = 9*h**2 - 5*h. Let m(d) = -4*c(d) - 3*k(d). Let m(r) = 0. Calculate r.
0, 1
Let v(h) be the first derivative of -h**7/56 + 3*h**5/80 - 7*h + 9. Let l(f) be the first derivative of v(f). Determine i, given that l(i) = 0.
-1, 0, 1
Factor -2/13*d**4 + 0*d**2 + 0*d**3 + 0*d + 0.
-2*d**4/13
Let d(z) = -z**5 + z**4 + z**2 - 1. Let c(r) = -10*r**4 - r**3 + 4*r**4 - 3*r**2 + 3 - 6*r**5 + 13*r**5. Let f(w) = -c(w) - 3*d(w). Let f(m) = 0. Calculate m.
-1/4, 0, 1
Let a be ((-2)/3)/(-8 - (-2965)/375). Factor a*u**3 - 20*u**2 - 16/7 + 88/7*u.
2*(u - 2)*(5*u - 2)**2/7
Let q(i) be the first derivative of -5*i**4/4 + 10*i**2 + 3. Find s, given that q(s) = 0.
-2, 0, 2
Let j(a) be the third derivative of a**5/240 + a**4/16 + a**3/3 - 9*a**2 - 2. Solve j(i) = 0 for i.
-4, -2
Let n(h) = 2*h**4 - 8*h**3 + 7*h**3 - h + 1 - h**5 + 2*h. Let d(z) = -z - 1. Let m(c) = -d(c) - n(c). Factor m(u).
u**3*(u - 1)**2
Factor -1/3*a**2 - a - 2/3.
-(a + 1)*(a + 2)/3
Let w(r) be the second derivative of -r + 0*r**3 + 1/48*r**4 + 0 - 1/8*r**2. Factor w(v).
(v - 1)*(v + 1)/4
Suppose -f - 3*f = -5*s + 4, 5*f = 20. Let d(x) be the first derivative of 0*x**2 - 1/6*x**3 + 1/10*x**5 - 2 + 0*x - 1/12*x**6 + 1/8*x**s. Factor d(t).
-t**2*(t - 1)**2*(t + 1)/2
Let d(c) = c**2 + 13*c + 12. Let u be d(-12). Let n(x) be the third derivative of 1/12*x**4 - 1/60*x**5 + u*x - x**2 - 1/6*x**3 + 0. Factor n(g).
-(g - 1)**2
Let w(j) be the second derivative of j**6/120 + j**3/6 - 6*j. Let r(n) be the second derivative of w(n). Factor r(i).
3*i**2
Let h(r) be the second derivative of -r**5/10 + r**3/3 - r. Suppose h(x) = 0. What is x?
-1, 0, 1
Let m(l) be the first derivative of -3*l**5/20 + l**4/2 - l**3/2 - 3*l - 1. Let h(z) be the first derivative of m(z). Solve h(v) = 0.
0, 1
Determine r so that -4*r**2 + 7*r**2 + 16*r - 7*r + 6 = 0.
-2, -1
Let w = 6/79 - -207/395. Factor 9/5*h**2 + w*h**3 + 3/5 + 9/5*h.
3*(h + 1)**3/5
Suppose 2*r + 2 = -10. Let q = 10 + r. Let 2*o**5 + 2*o**3 - 6*o + 2*o**3 - 4*o**2 + q*o**4 + 2*o**4 - 2 = 0. Calculate o.
-1, 1
Let w(h) be the first derivative of 1/20*h**5 + 1/2*h**2 - 4*h + 1/2*h**3 + 4 + 1/4*h**4. Let c(f) be the first derivative of w(f). Solve c(z) = 0.
-1
Let r(z) be the second derivative of -z**5/10 - z**4/9 + z**3/3 + 2*z**2/3 - 7*z. Determine x so that r(x) = 0.
-1, -2/3, 1
Let g be ((-3)/(-4))/((-2)/(-8)). Suppose 0 = -4*y - 5*r - 3, 3*y + 0*y - 4*r - 21 = 0. Suppose -2*x - 9*x**g + x - x + 16*x**2 - 2 - y*x = 0. What is x?
-2/9, 1
Let u(p) be the first derivative of -p**5/30 + p**4/12 + 2*p**3/9 - p**2/6 - p/2 + 13. Solve u(g) = 0 for g.
-1, 1, 3
Factor 3/7*k**2 - 1/7*k - 3/7*k**3 + 1/7*k**4 + 0.
k*(k - 1)**3/7
Suppose i - 1 + 5 = 0. Let c(m) = 5*m**2 + 12*m + 1. Let v(q) = q**2 + 3*q. Let r(n) = i*c(n) + 18*v(n). Let r(z) = 0. What is z?
1, 2
Let n(m) = 2*m - 13. Let o be n(-6). Let d be o/30*8/(-30). Solve 0*i + 0 + d*i**2 = 0 for i.
0
Suppose -3*s - 2*p = -6*s + 13, -s + 5*p = 13. Let t be 185/35 - 2/s. Factor 2*m**4 + 12*m**2 - 4*m**2 + 0*m**5 - m**t - 12*m**3 + 4*m**4.
-m**2*(m - 2)**3
Let y(f) be the third derivative of -f**8/84 + 2*f**7/105 + f**6/30 - f**5/15 - 5*f**2. Let y(d) = 0. Calculate d.
-1, 0, 1
Let k(n) = -n**2 + n. Let f = 22 - 33. Let o = f + 15. Let m(b) = 3*b**2 - 4*b. Let y(i) = o*k(i) + m(i). Find a, given that y(a) = 0.
0
Let r(y) be the first derivative of y**4/36 + y**3/18 + 4*y - 5. Let j(z) be the first derivative of r(z). Factor j(b).
b*(b + 1)/3
Let p = -59 - -59. Factor 1/4*s**5 + 1/2*s**2 + 0 - 1/2*s**4 - 1/4*s + p*s**3.
s*(s - 1)**3*(s + 1)/4
Let y be (102/18 + -6)*6/(-4). Let 1/2 - 1/4*i - y*i**2 + 1/4*i**3 = 0. Calculate i.
-1, 1, 2
Suppose 0 = -2*y + 2*k - 8, -5*y + k - 1 = 3. Factor y*q + 4/7*q**2 - 2/7*q**3 + 0.
-2*q**2*(q - 2)/7
Let t = -110 + 112. Facto