 y.
-1, 0, 1
Let r(a) be the second derivative of a**6/10 - 3*a**5/10 - a**4/4 + a**3 + 4*a. Find d such that r(d) = 0.
-1, 0, 1, 2
Let b(x) be the first derivative of 1/16*x**4 + 0*x + 1/24*x**6 + 0*x**3 + 6 - 1/10*x**5 + 0*x**2. Find i, given that b(i) = 0.
0, 1
Suppose 244*p + 16 = 252*p. Factor 5/2*g**2 - p*g - g**3 + 1/2.
-(g - 1)**2*(2*g - 1)/2
Let c(g) be the second derivative of 3/40*g**5 + 1/42*g**7 + 0 - 1/12*g**3 - g + 1/24*g**4 - 1/12*g**6 + 0*g**2. Solve c(a) = 0.
-1/2, 0, 1
Let p be 541*5/900 + -3. Let q(t) be the third derivative of -1/1008*t**8 + p*t**5 + 0 + 0*t**4 - t**2 + 1/210*t**7 + 0*t**3 + 0*t - 1/120*t**6. Factor q(f).
-f**2*(f - 1)**3/3
Let z(d) = 5*d**3 + 3*d**2 - 8*d + 2. Let r(v) = -v**3 + v - 1. Let j(f) = 2*r(f) + z(f). Factor j(o).
3*o*(o - 1)*(o + 2)
Let f(a) = 2*a**2 + 5*a + 3. Let o be f(-3). Suppose -o*c = -c. Find y such that -12*y**2 - 16*y - 13*y**2 - 4 + c*y**5 - 9*y**4 - y**5 + 2*y**4 - 19*y**3 = 0.
-2, -1
Suppose 2*b - 5 = 4*h - h, 4*h - 4 = 0. Suppose 0 = 26*t - 34*t. Factor -x - 1/2 + t*x**2 + 1/2*x**b + x**3.
(x - 1)*(x + 1)**3/2
Let w = -20/27 - -302/189. Factor -3*t**4 + 0 + 0*t + 15/7*t**3 + w*t**2.
-3*t**2*(t - 1)*(7*t + 2)/7
Let j(m) be the first derivative of -m**6/6 - 2*m**5/5 + 2*m**3/3 + m**2/2 + 3. Factor j(b).
-b*(b - 1)*(b + 1)**3
Factor -3*k**5 - k**2 - 3*k + k**2 + 10*k**3 - 4*k**3.
-3*k*(k - 1)**2*(k + 1)**2
Let g(i) be the second derivative of 2*i**4/3 + i**3 - i**2 + 2*i. What is m in g(m) = 0?
-1, 1/4
Let j(r) = r**2 + r. Let y be j(-2). Solve -12*t**2 + 5*t**2 + 0*t**y + 5*t**2 + 2*t**4 = 0.
-1, 0, 1
Solve -7 + 48*j + 21*j**2 + 8 + 11 = 0.
-2, -2/7
Let n(k) be the third derivative of 0 + 1/90*k**6 - 6*k**2 + 1/45*k**5 - 1/504*k**8 - 1/315*k**7 - 1/36*k**4 - 1/9*k**3 + 0*k. Factor n(i).
-2*(i - 1)**2*(i + 1)**3/3
Let d(b) be the second derivative of 0*b**2 - 3/55*b**5 + 2/11*b**4 - 8/33*b**3 + 0 + 1/165*b**6 + 5*b. Factor d(o).
2*o*(o - 2)**3/11
Let n(t) be the third derivative of t**8/2184 + t**7/273 + t**6/130 - t**5/195 - 7*t**4/156 - t**3/13 + 8*t**2. Solve n(d) = 0.
-3, -1, 1
Let t = 72 - 42. Suppose 3*g - 2 - t = -4*z, -2*g + 3*z - 7 = 0. Find r such that -r**2 + 9/5*r**3 + r**g + 0 - 7/5*r**5 - 2/5*r = 0.
-1, -2/7, 0, 1
Let y(o) be the first derivative of 2*o**6 + 3 + 93/4*o**4 - 57/5*o**5 + 3/2*o**2 - 19*o**3 + 6*o. Determine v so that y(v) = 0.
-1/4, 1, 2
Let p = 778/3 + -259. Factor 1/6*z**2 + 1/2*z**3 + 0 - p*z.
z*(z + 1)*(3*z - 2)/6
Let m(l) = 9*l**5 - 6*l**3 - 9*l - 6. Let c(w) = w**2 + 15*w - 17*w**5 + 11*w**3 - 4*w - w**4 + 4 + 6*w + 7. Let h(n) = 6*c(n) + 11*m(n). Factor h(u).
-3*u*(u - 1)*(u + 1)**3
Let o(j) be the third derivative of -j**6/780 + j**5/65 - j**4/13 + 8*j**3/39 - 24*j**2. Find g such that o(g) = 0.
2
Let t(j) be the third derivative of 5*j**8/336 - 13*j**7/210 + j**6/30 + j**5/15 + 5*j**2. Find a such that t(a) = 0.
-2/5, 0, 1, 2
Solve 3*s**4 + 0 - 1 + 7*s - 2 - 6*s**3 - s = 0 for s.
-1, 1
Let q = -19 + 37. Let s be 3/q*(0 + 14). Factor -1/3*f**2 + 0*f + 0 - s*f**4 - f**5 - 5/3*f**3.
-f**2*(f + 1)**2*(3*f + 1)/3
Let w(o) be the third derivative of -o**6/720 - o**5/240 + o**3/2 - o**2. Let m(x) be the first derivative of w(x). Factor m(b).
-b*(b + 1)/2
Let i(t) be the third derivative of 3*t**6/10 - 2*t**5/5 - 10*t**4/3 - 16*t**3/3 - 13*t**2. Factor i(h).
4*(h - 2)*(3*h + 2)**2
Suppose -2/3 + 0*s**2 + 4/3*s**3 - 4/3*s + 2/3*s**4 = 0. Calculate s.
-1, 1
Let j = -4 - -8. Let d(f) = f + 2. Let y be d(0). Factor -4*z**2 - 2*z**y - 4*z**2 + j*z + 7*z**3 - z**3.
2*z*(z - 1)*(3*z - 2)
Let z(q) = 3*q + 31. Let w be z(-9). Let c(y) be the third derivative of 0 - 1/28*y**w - 1/420*y**6 + 0*y - 1/21*y**3 - 3*y**2 - 1/70*y**5. Factor c(s).
-2*(s + 1)**3/7
Factor m**2 + 0*m + 9*m**2 - 6*m.
2*m*(5*m - 3)
Let v be 0 + (-15)/(-3) - 2. Suppose 0 = -4*g + 9 + v. Factor q**5 - 2*q**g + q + 6*q**4 - 6*q**4.
q*(q - 1)**2*(q + 1)**2
Let o(m) be the first derivative of -2 + 11/96*m**4 + 1/15*m**5 + 1/12*m**3 + m**2 + 0*m + 7/480*m**6. Let b(l) be the second derivative of o(l). Factor b(k).
(k + 1)**2*(7*k + 2)/4
Let f(v) be the first derivative of v**9/9072 - v**8/1680 + v**7/1260 + 5*v**3/3 + 6. Let n(z) be the third derivative of f(z). Suppose n(k) = 0. What is k?
0, 1, 2
Let h be -3 + (-8)/(-2) - -1. Solve 1/4*w**5 + 0 + 5/4*w**4 + 0*w + 2*w**3 + w**h = 0.
-2, -1, 0
Let c(q) = -14*q**5 + 18*q**4 - 8*q**2 - 6*q + 10. Let b(r) = r**5 - r**4 + r - 1. Let h(t) = 10*b(t) + c(t). Factor h(a).
-4*a*(a - 1)**3*(a + 1)
Let v = 119/4 + -29. Solve z - v - 1/4*z**2 = 0 for z.
1, 3
Let n be ((-4)/(-12))/((-4)/(-36)). Factor w**3 - 6*w + 5*w**n - 36 + 33 + 3*w**4.
3*(w - 1)*(w + 1)**3
Suppose -4*m - 20 = d - 0*m, -20 = -3*d + 4*m. Suppose -1/4*f**2 + 0*f + d + 1/4*f**3 = 0. What is f?
0, 1
Let b = -419/180 + 7/3. Let y(j) be the third derivative of -4*j**2 + 0*j + 0 - 1/30*j**5 - b*j**6 - 1/9*j**3 - 1/12*j**4. Factor y(h).
-2*(h + 1)**3/3
Let a be 2/4*(-12)/(-2). Suppose 2*i - 15 = -a*i. Find y, given that 2/3*y**i + 0 + y**2 - 2/3*y - y**4 = 0.
-1, 0, 2/3, 1
Let x(z) = -z**3 - 14*z**2 - z - 9. Let d be x(-14). Find o, given that -8*o**d + 4*o**4 - 4*o**2 + 1/2*o + 15/2*o**3 + 0 = 0.
-1, 0, 1/4, 1
Let o(f) be the third derivative of -2*f**2 + 16/15*f**3 + 0*f - 2/15*f**4 + 0 + 1/150*f**5. Let o(l) = 0. Calculate l.
4
Suppose 8/7*p + 10/7*p**2 + 2/7 + 4/7*p**3 = 0. What is p?
-1, -1/2
Factor 12/13*u**3 - 8/13*u**2 - 8/13*u**4 + 0 + 2/13*u + 2/13*u**5.
2*u*(u - 1)**4/13
Suppose 4 = -8*g + 12*g. Let i(d) be the first derivative of -1/9*d**2 - 2/27*d**3 + 0*d - g. Suppose i(w) = 0. Calculate w.
-1, 0
Let d = -5 - -7. Suppose -1/2*c - c**d + 7/2*c**3 - 2*c**4 + 0 = 0. Calculate c.
-1/4, 0, 1
Let a = 11143/717 - -30/239. Let o = a - 15. Suppose 0 - 1/3*h**3 - 1/3*h + o*h**2 = 0. Calculate h.
0, 1
Let v(k) = -6*k**3 + 8*k**2 + 14*k. Let c(s) = 2*s**3 - 3*s**2 - 5*s. Let h(n) = -14*c(n) - 5*v(n). Factor h(b).
2*b**2*(b + 1)
Let -2/3*i + 1/6*i**2 + 2/3 = 0. Calculate i.
2
Let k(w) be the second derivative of w**6/30 - w**5/20 + w**3/6 - 6*w. Let d(m) = m**3 - m**2 - m. Let b(t) = -d(t) - k(t). Factor b(s).
-s**2*(s - 1)*(s + 1)
Let u(f) be the second derivative of -1/30*f**4 + 4/15*f**3 - 5*f + 0 - 4/5*f**2. Factor u(c).
-2*(c - 2)**2/5
Let l(r) = r**3 + r**2 - r. Let p be l(0). Let g(i) be the third derivative of 0 - 1/300*i**5 + p*i + 0*i**3 + 0*i**4 + i**2 - 1/600*i**6. Factor g(v).
-v**2*(v + 1)/5
Let q be 4/34 - (8592/1360 + -9). Find a such that 0 - q*a**2 - 4/5*a**4 - 4/5*a - 14/5*a**3 = 0.
-2, -1, -1/2, 0
Determine j, given that 0 - 1/2*j**2 + 0*j = 0.
0
Let a = 6 + -4. Suppose -a*j - 2*j + 3*i + 15 = 0, -2*i - 10 = 4*j. Factor 4/9*o - 10/9*o**2 + j.
-2*o*(5*o - 2)/9
Factor -6*q - 18 - 2*q**2 + 3*q + 15*q.
-2*(q - 3)**2
Let g(v) be the second derivative of v**5/70 + v**4/7 + 3*v**3/7 + 43*v. Factor g(r).
2*r*(r + 3)**2/7
Factor c - 4 + 74*c**2 + 17*c**3 + 55*c**3 - 3*c.
2*(c + 1)*(4*c + 1)*(9*c - 2)
Solve 1 + 5/2*w + 1/2*w**3 + 2*w**2 = 0.
-2, -1
Let u be (2/6)/(10/555). Let l = u - 18. Factor 0 + 1/2*x**2 + l*x.
x*(x + 1)/2
Let j(v) = v**3 + v + 1. Let u(f) = 5 + 3*f**3 + 8*f - 3*f + 42*f**4 - 41*f**4 - 3*f**2. Let l(d) = -5*j(d) + u(d). Solve l(i) = 0.
-1, 0, 3
Suppose 6 + 11 = 3*p + 2*v, -24 = -4*p - 3*v. Suppose 7/4*d + 9/2*d**2 - 3/2 + 5/4*d**p = 0. Calculate d.
-3, -1, 2/5
Let j be (-4)/8*2*1. Let s be j/(-4) - 87/(-36). Factor s*m - 2/3*m**2 - 8/3.
-2*(m - 2)**2/3
Let q(t) be the second derivative of -t**5/15 + 5*t**4/9 - 4*t**3/3 + t - 7. Factor q(r).
-4*r*(r - 3)*(r - 2)/3
Find b such that -10 - 8*b + 9 + 10 - b**2 = 0.
-9, 1
Let x be 3/(4 - (-52)/(-16)). Suppose 1/2*i**3 + 0 + 7/4*i**2 - 7/4*i**x - 1/2*i = 0. What is i?
-1, 0, 2/7, 1
Let v(z) be the third derivative of z**8/84 - 4*z**7/35 + 11*z**6/30 - 2*z**5/15 - 2*z**4 + 16*z**3/3 + 3*z**2. Solve v(y) = 0 for y.
-1, 1, 2
Factor -192/5*s - 24/5*s**3 + 104/5*s**2 + 128/5 + 2/5*s**4.
2*(s - 4)**2*(s - 2)**2/5
Let r(o) be the third derivative of o**2 - 1/420*o**7 + 1/60*o**6 + 0*o**3 + 0 + 1/24*o**4 - 1/24*o**5 + 0*o. Factor r(z).
-z*(z - 2)*(z - 1)**2/2
Find a, given that -6*a + 2 - 8*a**3 + 2*a**3 + 6*a**2 + 4*a**3 = 0.
1
Let c(b) = -41*b**3 + 143*b**2 + 241*b + 39. Let a(s) = 10*s**3 - 36*s**2 - 60*s - 10. Let y(m) = 18