3*t**2 + 6*t + 5. Suppose 0 = -2*h + 2*d - 14, -d - 2*d + 6 = 0. Let b(m) = -4*m**2 + 7*m + 6. Let v(y) = h*o(y) + 4*b(y). Factor v(k).
-(k + 1)**2
Suppose -29*d**4 + 17*d**4 + d**5 - 3*d**3 + d + d**2 + 11*d**4 + d**5 = 0. What is d?
-1, -1/2, 0, 1
Let o(b) = b**3 - 5*b**2 - b + 7. Let v be o(5). Determine n so that -1/3*n**v + 0 + 0*n = 0.
0
Let j be (-14)/42 - 5/(-6). Suppose 3*c = -o + 11, -21 = -3*c - o - 2*o. Factor -1/4*x**c + j*x - 1/4.
-(x - 1)**2/4
Let f(z) be the third derivative of 0*z + 0*z**3 + 0 + 1/48*z**4 - 4*z**2 - 1/120*z**5. Factor f(d).
-d*(d - 1)/2
Let t(r) be the third derivative of r**8/112 - 3*r**7/35 + 11*r**6/40 - r**5/10 - 3*r**4/2 + 4*r**3 + 9*r**2. Suppose t(y) = 0. What is y?
-1, 1, 2
Let y be (-3)/6*(-4 - -4). Suppose 10 = 6*o - o. Solve -2/3*n**o - 4/3*n + y = 0.
-2, 0
Let t(v) be the third derivative of -v**7/140 - v**6/40 + 3*v**5/40 + v**4/4 - v**3 - 2*v**2. Factor t(z).
-3*(z - 1)**2*(z + 2)**2/2
Let g(h) be the third derivative of h**8/112 + h**7/35 + 11*h**2. Factor g(p).
3*p**4*(p + 2)
Suppose -2*g = 3*m + 4 - 10, 0 = m. Factor -3/2*s**2 + 3*s + 0 - 3/2*s**g.
-3*s*(s - 1)*(s + 2)/2
Let f(u) be the first derivative of u**6/15 - u**5/10 + 2*u + 2. Let k(o) be the first derivative of f(o). Suppose k(l) = 0. What is l?
0, 1
Let p = 263 + -263. Determine f, given that p + 6/7*f**3 - 6/7*f + 3/7*f**2 - 3/7*f**4 = 0.
-1, 0, 1, 2
Suppose -o = 4*p - 80, -2*o - 2*o = 0. Let q = -18 + p. Factor 2/11*f + 2/11*f**q + 0.
2*f*(f + 1)/11
Factor 0 + 4/7*w**3 - 16/7*w**2 + 16/7*w.
4*w*(w - 2)**2/7
Suppose 0*f + f - w - 1 = 0, 3*w = 2*f - 3. Let u be f/(-1*(-1 + 3)). Factor -5/4*d**4 - 7/4*d**3 + u*d - 1/2*d**2 + 0.
-d**2*(d + 1)*(5*d + 2)/4
Factor 1/4*p**2 + 1/2 + 3/4*p.
(p + 1)*(p + 2)/4
Let o(n) be the second derivative of -1/6*n**4 + 2*n**2 + 0 - 5*n - 1/3*n**3. Determine c so that o(c) = 0.
-2, 1
Let o(s) be the third derivative of -s**5/60 - s**4/6 + 3*s**2. Let a be o(-3). Factor 0*q**a + 2/3*q**2 - 1/3 + 0*q - 1/3*q**4.
-(q - 1)**2*(q + 1)**2/3
Let x(h) = h**2 + 5*h - 3. Let f be x(-4). Let m = f - -10. Factor -2*y**2 + 4*y**2 - 2*y**m + 1 + 2*y - 3.
-2*(y - 1)**2*(y + 1)
Let o(z) be the first derivative of -44/3*z**3 - 18*z + 3 + 24*z**2 - 2/5*z**5 + 4*z**4. Find t, given that o(t) = 0.
1, 3
Solve 0 + 2/5*h**2 + 8/5*h**5 - 2/5*h**4 + 0*h - 8/5*h**3 = 0.
-1, 0, 1/4, 1
Let i(w) be the third derivative of w**8/28 - 2*w**7/15 - w**6/10 + 11*w**5/15 - 8*w**3/3 + 3*w**2. Determine d, given that i(d) = 0.
-1, -2/3, 1, 2
Let w(t) be the first derivative of -t**8/1680 + t**6/180 - t**4/24 - 5*t**3/3 + 3. Let f(y) be the third derivative of w(y). Suppose f(c) = 0. What is c?
-1, 1
Factor 0 - 2/7*k**3 + 0*k + 2/7*k**2.
-2*k**2*(k - 1)/7
Let x(k) be the second derivative of -k**4/18 + 2*k**3/9 - k**2/3 + 15*k. What is m in x(m) = 0?
1
Let v be (1/(-20))/(5/(-10)). Let z(l) be the first derivative of -l**2 + 2 - v*l**4 + 4/5*l + 8/15*l**3. Suppose z(g) = 0. Calculate g.
1, 2
Let z = -125/3 - -42. Determine d, given that z*d - 1/3*d**2 + 0 = 0.
0, 1
Let q = 41 + -26. Let v = -11 + q. Suppose i**2 + 2*i - 2*i - 2*i**2 - 3*i**3 - i**5 - 3*i**v = 0. What is i?
-1, 0
Let g(k) = -k**2 + 2*k - 3. Let p(m) = -m - 1. Let w(a) = 3*g(a) - 3*p(a). Factor w(v).
-3*(v - 2)*(v - 1)
Let k = -3937/6930 - 25/462. Let f = -2/5 - k. What is s in 0*s**2 - f*s**5 - 2/9*s + 4/9*s**3 + 0*s**4 + 0 = 0?
-1, 0, 1
Let l(q) be the first derivative of -2*q**5/5 + 2*q**3/3 - 5. Factor l(a).
-2*a**2*(a - 1)*(a + 1)
Factor 3/5*g**5 - 9/5*g + 6/5*g**2 - 9/5*g**4 + 3/5 + 6/5*g**3.
3*(g - 1)**4*(g + 1)/5
Let d = -10 + 8. Let m be ((-3)/63)/(d/12). Factor -m - 2/7*a**2 - 4/7*a.
-2*(a + 1)**2/7
Let r(b) be the second derivative of 0*b**5 + 0 - 1/30*b**6 + 1/12*b**4 - b + 0*b**2 + 0*b**3. Factor r(k).
-k**2*(k - 1)*(k + 1)
Let o(a) = -10*a**3 + 40*a**2 - 138*a + 150. Let i(r) = 19*r**3 - 80*r**2 + 275*r - 299. Let h(v) = -6*i(v) - 11*o(v). Factor h(u).
-4*(u - 4)*(u - 3)**2
Let x be (2/(-4))/(783/36). Let q = x + 31/87. Suppose -4/3*j - 4/3 - q*j**2 = 0. What is j?
-2
Suppose 1/2 + 1/4*p**3 - 1/2*p**2 - 1/4*p = 0. What is p?
-1, 1, 2
Let t be -6 + ((-20)/35)/(1/(-11)). Let -2/7*z**2 - 4/7*z + 0 + t*z**3 = 0. Calculate z.
-1, 0, 2
Let m(y) be the first derivative of 196*y**5/5 - 266*y**4 + 304*y**3 + 400*y**2 + 128*y + 27. Find j, given that m(j) = 0.
-2/7, 2, 4
Factor -2/17*y**2 - 8/17 + 10/17*y.
-2*(y - 4)*(y - 1)/17
Let n(f) be the third derivative of -2*f**7/525 - f**6/150 + f**2. Let n(u) = 0. What is u?
-1, 0
Solve 8/11 - 2/11*k**3 + 12/11*k**2 - 18/11*k = 0 for k.
1, 4
Let j(b) be the third derivative of b**5/70 + b**4/56 - 3*b**3/14 - 29*b**2 - b. Factor j(g).
3*(g - 1)*(2*g + 3)/7
Solve -2*l**3 - 6*l + 2*l**3 - 3*l + 3*l**3 - 6 = 0.
-1, 2
Let r(x) be the first derivative of x**5/15 - 2*x**3/3 + 4*x**2/3 - x + 1. Suppose r(g) = 0. Calculate g.
-3, 1
Let i(u) = -u + 3. Let b be i(3). Let p = -27 + 29. Determine f so that 5*f**3 - f**3 + b + 8*f + 2 + 10*f**p = 0.
-1, -1/2
Let b(v) be the first derivative of 4/7*v**2 + 1 + 2/7*v - 22/21*v**3 - 13/7*v**4 - 32/21*v**6 + 128/35*v**5. Suppose b(t) = 0. What is t?
-1/4, 1/2, 1
Let x(y) = -y - 9. Let h be x(-11). Suppose 5 = 2*g - 5*u, -5*g + h = -2*u - 21. Let 0*t**4 + 2*t**4 - 3*t**4 + t**5 + 0*t**g = 0. Calculate t.
0, 1
Let v(n) = -n**3 + 4*n**2 - 3*n - 1. Let h be v(4). Let q = -9 - h. Factor 0*c**2 - 1 - 4*c + c**q - 2*c**4 - 4*c**3 - 6*c**2.
-(c + 1)**4
Let d(o) be the first derivative of 5*o**4 + 68*o**3/3 + 32*o**2 + 16*o - 14. Factor d(h).
4*(h + 1)*(h + 2)*(5*h + 2)
Let t(i) be the second derivative of -i**7/21 + i**6/15 + i**5/10 - i**4/6 - 10*i. Factor t(z).
-2*z**2*(z - 1)**2*(z + 1)
Let p(v) be the second derivative of 2*v**6/15 + v**5/10 - v**4/3 - v**3/3 - 7*v. Find t, given that p(t) = 0.
-1, -1/2, 0, 1
Suppose -5*l = -5*c - 70, 7*l - 3*l - 43 = 3*c. Let u = 13 + c. Factor -1/4*f - 1/4*f**4 + u + 1/4*f**2 + 1/4*f**3.
-f*(f - 1)**2*(f + 1)/4
Let n(d) be the third derivative of 0*d**4 + 1/900*d**6 - 1/450*d**5 + 0*d**3 + 7*d**2 + 0*d + 0. Factor n(c).
2*c**2*(c - 1)/15
Let z(c) be the second derivative of -c**6/360 + c**5/60 + 3*c**2/2 + 4*c. Let d(p) be the first derivative of z(p). Suppose d(b) = 0. What is b?
0, 3
Let y(s) = s**3 - 4*s**2 + 2*s + 1. Let a be y(2). Let v be a - (-4)/(12/9). Factor 4/3*k + v + 2/3*k**2.
2*k*(k + 2)/3
Let x(a) be the first derivative of 7*a**6/60 + a**5/8 - a**4/12 + 2*a + 3. Let z(y) be the first derivative of x(y). Suppose z(i) = 0. What is i?
-1, 0, 2/7
Let i(s) be the first derivative of -1/70*s**5 + 0*s + 1/21*s**3 - 1/42*s**4 - 1 + s**2. Let u(k) be the second derivative of i(k). Suppose u(q) = 0. What is q?
-1, 1/3
Let f(h) be the second derivative of h**7/525 + h**6/150 + h**5/150 + h**2/2 - 6*h. Let w(s) be the first derivative of f(s). Factor w(j).
2*j**2*(j + 1)**2/5
Let h be 200/112 - 2/7. Factor 1/2 + r**2 + h*r.
(r + 1)*(2*r + 1)/2
Let g(m) be the first derivative of -m**6/60 + m**5/30 + 5*m**4/12 + m**3 + m**2 - 2. Let c(a) be the second derivative of g(a). Factor c(z).
-2*(z - 3)*(z + 1)**2
Let u(h) = -11*h**3 - h**2 + 7*h - 5. Let d(z) = 6*z**3 - 3*z + 3. Let s(j) = 5*d(j) + 3*u(j). Factor s(n).
-3*n*(n - 1)*(n + 2)
Let z(x) be the first derivative of x**7/420 - x**6/180 - x**5/60 + x**4/12 + 2*x**3/3 - 1. Let h(o) be the third derivative of z(o). Find y such that h(y) = 0.
-1, 1
Let v be 2 + ((-19)/7 - -1). Determine d so that -6/7*d**2 - 6/7*d - 2/7*d**3 - v = 0.
-1
Let i(h) be the first derivative of 0*h - 1 - h**2 + 3*h**4 + h**3 + 7/5*h**5. Determine p, given that i(p) = 0.
-1, 0, 2/7
Let s(f) = -f + 8. Let m be s(6). Find z such that 3*z**2 + 3*z**m - 5*z**2 - z = 0.
0, 1
Let p(q) = 64*q**4 - 157*q**3 + 39*q**2 + 55*q + 8. Let g(n) = -192*n**4 + 472*n**3 - 116*n**2 - 164*n - 24. Let y(z) = -3*g(z) - 8*p(z). Factor y(h).
4*(h - 2)*(h - 1)*(4*h + 1)**2
Let j(b) = -6*b**3 + 16*b**2 - 11*b + 1. Let s = 6 - 11. Let z(g) = 3*g**3 - 8*g**2 + 5*g. Let n(k) = s*z(k) - 2*j(k). What is x in n(x) = 0?
-1/3, 1, 2
Let h(i) be the first derivative of 1/7*i**2 - 4/35*i**5 + 4/21*i**3 + 0*i - 1/21*i**6 + 0*i**4 - 2. Solve h(f) = 0.
-1, 0, 1
Suppose 0 = -2*p + 4 + 4. Let v(u) = -5*u - 1. Let k be v(-1). What is m in 4*m**k - 6*m**3 + 3*m**p - 5*m**4 - 2*m**