v**4
Let i(p) be the second derivative of -p**6/80 + 9*p**5/80 - 17*p - 2. Factor i(y).
-3*y**3*(y - 6)/8
Let 20*h**2 - 25*h - 20*h**3 + 10 + 33*h**3 - 18*h**3 = 0. What is h?
1, 2
Let m(w) be the third derivative of w**5/150 - 3*w**4/20 + 14*w**3/15 + w**2 - 8*w. Factor m(i).
2*(i - 7)*(i - 2)/5
Suppose 7*z = 3 + 11. Determine o, given that 0*o + 2/3*o**z + 0 = 0.
0
Factor 73*j**3 - 69*j**3 - 2*j - 36*j**2 - 28 + 62*j.
4*(j - 7)*(j - 1)**2
Let d(x) be the third derivative of x**6/360 - x**5/60 + x**4/24 - x**3/18 + 3*x**2. Factor d(k).
(k - 1)**3/3
Let o(h) = h**3 + 10*h**2 + h + 13. Let p be o(-10). Let g be 2/(-4) - 5/(-2). Factor -g*u**2 - 4*u**4 - 3*u**3 + p*u**4 - u**2 - u.
-u*(u + 1)**3
Factor b**2 - 1 + 3/2*b.
(b + 2)*(2*b - 1)/2
Let y be (-46)/(-112) - (-86)/(-301). Factor -y*n**3 - 1/4*n**2 + 1/8*n + 1/4.
-(n - 1)*(n + 1)*(n + 2)/8
Factor 0*j**4 + 3*j**4 + 2*j**5 - 2*j**5 - 3*j**5.
-3*j**4*(j - 1)
Suppose -3*w + 21 = -5*g, 5*w = g - 6*g - 5. Solve 0*x**3 - 2*x**3 - x**3 - 3*x**2 - 3*x**w - 3*x = 0.
-1, 0
Factor 0 + 8/5*z + 1/5*z**4 + 6/5*z**3 + 12/5*z**2.
z*(z + 2)**3/5
Let s(a) = a**2 - a - 1. Let b(f) be the first derivative of f**3/3 - 3*f**2/2 - f + 17. Let l = 7 + -4. Let w(c) = l*s(c) - b(c). Let w(o) = 0. What is o?
-1, 1
Let w(o) be the second derivative of o**6/900 - o**4/60 - o**3/6 - 2*o. Let d(a) be the second derivative of w(a). Solve d(z) = 0 for z.
-1, 1
Let w(p) be the second derivative of -p**4/24 - p**3/2 - 9*p**2/4 + 4*p. What is a in w(a) = 0?
-3
Let w = -3 - -3. Suppose -3*v = -m, -3*v - m + 4*m = w. Factor -y - 2*y**2 - y + v*y.
-2*y*(y + 1)
Factor -15*y**4 - 3*y**3 + 27*y**2 - 12*y + 12*y**4 - 21*y + 12.
-3*(y - 1)**3*(y + 4)
Let k(p) = p**2 - 21*p + 68. Let u be k(17). Determine f, given that -2/5*f**2 + u - 4/5*f = 0.
-2, 0
Let r be 1/(30 - 0/(-4)). Let h(m) be the third derivative of 0 + 0*m**3 - 1/168*m**8 + r*m**5 + 1/60*m**6 + 0*m**4 + 0*m - 2*m**2 - 1/105*m**7. Factor h(b).
-2*b**2*(b - 1)*(b + 1)**2
Let m(z) be the second derivative of 0*z**6 + 0*z**4 + 0*z**2 + 1/147*z**7 - 1/35*z**5 + 3*z + 1/21*z**3 + 0. Let m(w) = 0. Calculate w.
-1, 0, 1
Let k be (4/6)/((-20)/(-150)). Let p(i) be the third derivative of 0*i - 1/120*i**k + 1/240*i**6 + 0 + 0*i**4 - i**2 + 0*i**3. Factor p(r).
r**2*(r - 1)/2
Let o = -14 - -14. Let j(m) be the third derivative of -1/210*m**7 - m**2 + 1/60*m**5 - 1/180*m**6 + o + 0*m + 1/36*m**4 + 0*m**3. Solve j(z) = 0 for z.
-1, -2/3, 0, 1
Let 25*q**3 - q**2 + 21*q**4 - 7*q**2 + 14*q**4 - 2*q**2 = 0. Calculate q.
-1, 0, 2/7
Let k be (-4)/14*(-21)/18. Let -1/3*i**3 + 1/3*i + 0 - k*i**4 + 1/3*i**2 = 0. Calculate i.
-1, 0, 1
Factor 18/7 - 78/7*v**2 - 3*v**3 - 39/7*v.
-3*(v + 1)*(v + 3)*(7*v - 2)/7
Suppose 0 = -3*y - 3 - 249. Let r be 36/y - (-34)/14. Find j, given that -1/3*j**3 + 0 + 2/3*j**4 + 0*j - 1/3*j**5 + 0*j**r = 0.
0, 1
Let k be ((-9)/18)/((-4)/16*2). Factor 1/2*p**3 + k - 3/2*p + 0*p**2.
(p - 1)**2*(p + 2)/2
Let m(h) be the second derivative of -h**5/10 - h**4/3 - h**3/3 + 12*h. Find n, given that m(n) = 0.
-1, 0
Let a(p) be the first derivative of -p**6/2 - 9*p**5/5 - 9*p**4/4 - p**3 + 2. Factor a(u).
-3*u**2*(u + 1)**3
Factor -1/3*o**4 + 0 + 1/3*o**2 + 1/3*o**3 - 1/3*o.
-o*(o - 1)**2*(o + 1)/3
Suppose -2*a + 7 = -1. Suppose d + 3 = n, -4*n + 33 = 4*d + n. Factor a*m - 2*m**d + 4*m**2 - m**2 + 4.
(m + 2)**2
Let d(c) be the second derivative of c**8/2800 + c**7/700 + c**6/600 + c**3/2 + 7*c. Let y(h) be the second derivative of d(h). Factor y(x).
3*x**2*(x + 1)**2/5
Let q be 4/6 + (-12)/(-9). Let i = 4 - q. Find v, given that 2*v**2 - i + 3*v**2 - 3*v**2 = 0.
-1, 1
Factor 3 + 21/2*x - 6*x**2.
-3*(x - 2)*(4*x + 1)/2
Let n(r) be the third derivative of r**8/168 - r**7/35 + r**6/20 - r**5/30 - 11*r**2. Factor n(g).
2*g**2*(g - 1)**3
Let t(f) = 2*f**3 - 3*f**2 + 9*f - 4. Let a(x) = 3*x**3 - 4*x**2 + 9*x - 5. Let j(y) = -6*a(y) + 7*t(y). Solve j(z) = 0.
-1, -1/4, 2
Let m(r) be the third derivative of -3*r**8/560 - r**7/350 + 11*r**6/200 - 3*r**5/100 - r**4/5 + 2*r**3/5 - 7*r**2. Determine z so that m(z) = 0.
-2, -1, 2/3, 1
Let n(f) be the second derivative of -f**5/25 - f**4/15 + 4*f**3/15 - 6*f. Solve n(j) = 0 for j.
-2, 0, 1
Factor 20*v**2 - 16*v**3 + 1728 + 16*v**2 + 15*v**3 - 432*v.
-(v - 12)**3
Let c(o) be the third derivative of -2*o**7/105 - o**6/30 + o**5/5 + o**4/6 - 4*o**3/3 + 11*o**2. Determine h so that c(h) = 0.
-2, -1, 1
Let u(n) = 4*n**4 + 3*n**3 - 15*n**2 - 5*n - 3. Let s(j) = -12*j**4 - 8*j**3 + 44*j**2 + 16*j + 8. Let c(a) = -3*s(a) - 8*u(a). Factor c(l).
4*l*(l - 2)*(l + 1)**2
Factor 63*u - 63*u + 2*u**2.
2*u**2
Find q such that -66 + 66 - 3*q**2 + 6*q = 0.
0, 2
Factor -2/7 + 3/7*q - 3/7*q**3 + 1/7*q**2 + 1/7*q**4.
(q - 2)*(q - 1)**2*(q + 1)/7
Let r(z) be the second derivative of -2*z**6/105 + 3*z**5/28 - 4*z**4/21 + z**3/14 + z**2/7 - 12*z. Suppose r(n) = 0. What is n?
-1/4, 1, 2
Let f be (-445)/(-3) - (-6 + 6). Let l = f + -147. What is q in -2*q**2 - 14/3*q - l = 0?
-2, -1/3
Let v(n) be the first derivative of -n**9/1512 - n**8/420 + n**6/90 + n**5/60 + 2*n**3 - 1. Let h(t) be the third derivative of v(t). What is i in h(i) = 0?
-1, 0, 1
Let c = 391/87 + 1/174. Solve c*n**3 + n**2 + 0*n + 0 + 7/2*n**4 = 0.
-1, -2/7, 0
Let k(o) be the first derivative of 0*o**3 - 1/2*o**6 + 3/2*o**4 + 0*o**5 + 0*o + 5 - 3/2*o**2. Factor k(g).
-3*g*(g - 1)**2*(g + 1)**2
Let f be 6/(-4)*(-16)/6. Suppose -5*o = -2*t + 6, 2*t + f*o = 3*t - 3. Determine v so that 11*v**t - 3*v**3 - 2 - 9*v + 2*v**2 + 0*v + v**3 = 0.
-1, -2/9, 1
Let f(b) be the second derivative of -b**8/23520 - b**7/8820 + b**6/2520 + b**5/420 - b**4/6 + b. Let d(a) be the third derivative of f(a). Solve d(y) = 0.
-1, 1
Let o = -17 - -21. Suppose -4*c + 4*a + 16 = c, -o*c = -a - 4. Factor 0 - f**3 + 1/2*f**5 + 0*f**4 + c*f**2 + 1/2*f.
f*(f - 1)**2*(f + 1)**2/2
Let f(a) = -1. Let i(r) = r**2 - 4*r + 2. Let x(u) = -5*f(u) + 5*i(u). Factor x(j).
5*(j - 3)*(j - 1)
Let v(j) = 45*j**4 + 30*j**3 - 100*j**2 + 40*j. Let w(q) = 90*q**4 + 60*q**3 - 200*q**2 + 80*q. Let r(l) = -13*v(l) + 6*w(l). Suppose r(m) = 0. What is m?
-2, 0, 2/3
Let m(u) = -u**2 - 1 + 0*u + 0*u. Let w be (5 - 3)/(-4)*-2. Let z(h) = -h**2 + 3*h. Let c(p) = w*z(p) - 2*m(p). Solve c(g) = 0 for g.
-2, -1
Let a(o) be the first derivative of -3*o**5/25 - 3*o**4/10 + 1. Factor a(f).
-3*f**3*(f + 2)/5
Let b(w) be the third derivative of 0*w**3 + 0*w**4 + 0 + 6*w**2 + 0*w - 1/100*w**6 + 1/150*w**5. Suppose b(s) = 0. Calculate s.
0, 1/3
Determine m, given that 20/3*m + 2/3*m**5 - 13/3*m**4 - 4/3 - 37/3*m**2 + 32/3*m**3 = 0.
1/2, 1, 2
Let l = -111/5 + 337/15. Let i(h) be the second derivative of -1/30*h**4 - h - 4/5*h**2 - l*h**3 + 0. Suppose i(x) = 0. Calculate x.
-2
Let q(x) = -x + 1. Let n(h) = -4*h**2 - 44*h - 96. Let c(m) = -n(m) + 4*q(m). Solve c(a) = 0 for a.
-5
Factor -6/7 + 3/7*t**2 + 3/7*t.
3*(t - 1)*(t + 2)/7
Suppose -4*b + 9 = -3*t, 2 = 4*b - t - 1. Let l(v) be the second derivative of b*v**2 + 1/9*v**3 + 1/36*v**4 - v + 0. Factor l(p).
p*(p + 2)/3
Let y(d) be the third derivative of 2*d**7/105 + 17*d**6/120 + d**5/3 + d**4/6 + 2*d**2. Factor y(u).
u*(u + 2)**2*(4*u + 1)
Let p(v) be the second derivative of v**7/189 - 4*v**6/135 + v**5/45 + 2*v**4/27 - v**3/9 + 30*v. Determine x, given that p(x) = 0.
-1, 0, 1, 3
Find q, given that 78*q**5 + 5*q**2 - 73*q**5 + 25*q**3 + 9*q**2 + 20*q**4 - 4*q**2 = 0.
-2, -1, 0
Suppose -y = -4*c + y + 52, y = -3*c + 39. Let o be 37/c + 4/26. Factor 1/2*v + 0 - v**2 + 1/2*v**o.
v*(v - 1)**2/2
Suppose -7*x - 3*g + 29 = -2*x, 25 = 4*x + 3*g. Solve -12*d**x + 3*d**5 + 7*d**2 + d**5 + 5*d**2 - 8*d + 4*d**3 = 0 for d.
-1, 0, 1, 2
Suppose 0 + 1/3*w**2 - 1/3*w = 0. Calculate w.
0, 1
Let v = 2/11 + 38/33. Factor 4/3*p**3 - v*p - 2*p**2 + 5/3*p**4 + 1/3.
(p - 1)*(p + 1)**2*(5*p - 1)/3
Factor 18/7*s**3 + 26/7*s - 48/7*s**2 - 4/7.
2*(s - 2)*(3*s - 1)**2/7
Let k(c) be the second derivative of -c**9/1512 + c**7/420 - 2*c**3/3 + 2*c. Let s(w) be the second derivative of k(w). Factor s(h).
-2*h**3*(h - 1)*(h + 1)
Let r(l) be the third derivative of 0*l + 6*l**2 + 0*l**3 + 1/84*l**4 + 0 + 2/105*l**5 - 1/84*l**6. Factor r(d).
-2*d*(d - 1)*(5*d + 1)/7
Let o be 0 - 3 - (0 + -6). Let v be ((-2)/(-21))/(o/27). Find n such that v*n - 4/7 - 