+ 3. Factor 1/2 - 1/2*w + w**3 - 1/2*w**5 + 1/2*w**o - w**2.
-(w - 1)**3*(w + 1)**2/2
Let n(g) be the second derivative of -g**6/30 + 4*g**5/15 - 5*g**4/6 + 4*g**3/3 + 4*g**2 - 10*g. Let q(h) be the first derivative of n(h). Factor q(f).
-4*(f - 2)*(f - 1)**2
Let u(i) be the third derivative of -3*i**7/1400 - i**6/300 + i**5/200 - 2*i**3 - 29*i**2. Let l(d) be the first derivative of u(d). Factor l(z).
-3*z*(z + 1)*(3*z - 1)/5
Let q(i) be the second derivative of 5*i**5/4 + 335*i**4/12 + 65*i**3/3 - 122*i. Solve q(p) = 0 for p.
-13, -2/5, 0
Let k = 902 - 899. Suppose -2*t - a - 2*a = -9, -4*t + a = 3. Suppose t + 0*n + 0*n**2 + 4/3*n**k = 0. Calculate n.
0
Let m(s) be the third derivative of -s**5/540 - 37*s**4/54 - 2738*s**3/27 + s**2 - 172. Factor m(h).
-(h + 74)**2/9
Let k(z) be the second derivative of 5*z**7/42 - z**5 - 5*z**4/6 + 5*z**3/2 + 5*z**2 + 3*z + 24. Determine h so that k(h) = 0.
-1, 1, 2
Let l = -2792/901 - -53/17. Let u = l - -51/106. Solve -1/4 - 1/4*s**2 - u*s = 0.
-1
Let p(g) be the third derivative of 0*g**4 + 0*g**3 - 1/420*g**6 + 0*g**5 + 0*g**7 + 6*g**2 + 0*g + 1/1176*g**8 + 0. Factor p(y).
2*y**3*(y - 1)*(y + 1)/7
Suppose -n = -3*n + 4. Determine y, given that 2*y + 53*y**2 - 2*y - 20*y**4 - 48*y**n = 0.
-1/2, 0, 1/2
Let n be (-1)/28*49/(-140). Let k(b) be the third derivative of -b**2 + 0*b**3 + n*b**5 + 0*b + 0 + 0*b**4. Find i such that k(i) = 0.
0
Let z(m) = -19*m**3 - 30*m**2 + 171*m + 206. Let x(v) = -156*v**3 - 240*v**2 + 1365*v + 1647. Let b(q) = -4*x(q) + 33*z(q). Let b(p) = 0. Calculate p.
-14, -1, 5
Suppose 4*i - 2*d = -26, -5*d + 24 = -3*i - 6. Let h be (4 + i)/(3/(-36)). Solve 21*x**2 + h*x**4 - 6*x**3 + 6*x - 18*x**4 - 15*x**4 = 0 for x.
-1, -2/7, 0, 1
Let v be (-12)/(-8) + (-21)/(-6). Let o(t) be the third derivative of -1/420*t**7 + 0*t**4 + 0 + 0*t + v*t**2 + 0*t**3 - 1/120*t**6 + 0*t**5. Factor o(i).
-i**3*(i + 2)/2
Suppose 3449952/5*v + 792/5*v**3 + 3/5*v**4 + 56924208/5 + 78408/5*v**2 = 0. What is v?
-66
Let r(o) = 6*o - 50. Let n be r(9). Let u(t) be the third derivative of -1/15*t**5 - 1/2*t**4 + 0 - 4/3*t**3 + 0*t + n*t**2. Factor u(g).
-4*(g + 1)*(g + 2)
Let n(g) be the first derivative of 10*g**2 - 4/3*g**3 + 24*g - 25. Find f, given that n(f) = 0.
-1, 6
Let z(r) = -5*r**3 - 10*r**2 + 15*r - 8. Let y(g) = -4*g**3 - 7*g**2 + 14*g - 9. Let o(f) = 4*y(f) - 3*z(f). Factor o(p).
-(p - 4)*(p - 1)*(p + 3)
Let d(g) = 3*g**4 - 36*g**3 - 3*g**2 + 31*g + 5. Let p(y) = 5*y**4 - 55*y**3 - 5*y**2 + 47*y + 8. Let q(w) = 8*d(w) - 5*p(w). Factor q(a).
-a*(a - 1)*(a + 1)*(a + 13)
Let n be (8 + -6)*(-3)/(-2). Let m be n + 0 + (-2 - -3). Factor -m + 3 - 2*f**2 + 3 - 4 - 4*f.
-2*(f + 1)**2
Let w(n) = 4*n**2 - 3. Suppose -4*j - 2 = -5*j. Let q(v) = 2*v**j + 0 - 6*v - 7 + 5*v + 6*v**2. Let m(g) = 4*q(g) - 9*w(g). What is a in m(a) = 0?
-1/2
Suppose 4*q = -5*t - 6, -5*q + 9 = -5*t - 6. Suppose 0 = -w - q + 5. Let -4*z**3 + 2*z**w - 2*z**3 + 2*z**2 + 2*z**3 + 0*z**3 = 0. Calculate z.
0, 1
Let y(l) = -l**3 - l**2 - 1. Let h be 201/7 + 2/7. Suppose -5*r + 9 = h. Let z(m) = -4*m - 2. Let i(b) = r*y(b) + 2*z(b). Solve i(u) = 0 for u.
-2, 0, 1
Let a(o) be the second derivative of o**6/75 + 2*o**5/25 + o**4/5 + 4*o**3/15 + o**2/5 + 2*o - 2. Factor a(j).
2*(j + 1)**4/5
Let h(z) = z. Let x(i) = 4*i**2 + 358*i. Let g(j) = -2*h(j) + x(j). Solve g(c) = 0.
-89, 0
Let c = 103 + -720/7. Let r(q) be the first derivative of -c*q**2 + 0*q**3 + 1/14*q**4 - 3 + 0*q. Factor r(h).
2*h*(h - 1)*(h + 1)/7
Factor 56 + 60 - 3*x**2 - 113.
-3*(x - 1)*(x + 1)
Suppose -i + 2*h = -8, -4*i + 19 = -4*h - 1. Suppose -8 - 4*k**2 - 9*k - 27*k - 9*k**i - 3*k**2 = 0. What is k?
-2, -1/4
Let u(p) = -2*p**4 + p**3 + p**2 - p - 2. Let s(v) = 2*v**4 - 18*v**3 - 16*v**2 + 18*v - 4. Let b(w) = s(w) - 6*u(w). What is y in b(y) = 0?
-1, -2/7, 1, 2
Let t = 7 - 4. Let z be (-2)/28*1540/(-440). Let -1/2*g - z*g**2 + 1/4*g**t + 0 = 0. What is g?
-1, 0, 2
Let o = 379 + -377. Solve -4/5 + 2/5*v + 2/5*v**o = 0 for v.
-2, 1
Let r(u) be the second derivative of -31*u**4/36 + 7*u**3/4 - u**2/12 + 25*u. Solve r(f) = 0 for f.
1/62, 1
Let w(q) be the third derivative of -q**8/112 + 2*q**7/35 - 3*q**6/40 - q**5/5 + q**4/2 - q**2 - 10*q. Let w(i) = 0. What is i?
-1, 0, 1, 2
Let h = 7732 - 7730. Find s, given that 0 - 4/5*s**h - 32/5*s**3 - 77/5*s**4 - 49/5*s**5 + 0*s = 0.
-1, -2/7, 0
Let c(z) be the third derivative of -16/21*z**7 - 5/24*z**4 + 2*z**2 + 0*z**3 + 0*z**6 - 12*z + 0 + 1/2*z**5. Factor c(v).
-5*v*(2*v + 1)*(4*v - 1)**2
What is y in -y**2 + 0*y**3 + 0 + 2/3*y + 1/3*y**4 = 0?
-2, 0, 1
Suppose 96*f**2 - 210*f**3 - 264*f + 12 - 54*f**3 + 399*f**2 - 39*f**3 + 60*f**4 = 0. What is f?
1/20, 1, 2
Let o be ((-8)/(-55))/(42/(-35) - -2). Factor o - 6/11*c**2 - 4/11*c.
-2*(c + 1)*(3*c - 1)/11
Suppose 4*n + 158 = 4*v + 2*n, 123 = 3*v - 3*n. Suppose -v*b - 27*b - 299 + 11*b + 9*b**3 + 21*b**2 + 323 = 0. Calculate b.
-4, 2/3, 1
Let f = -14 - -16. Suppose f*j + 6 = 4*j. What is y in 0*y - 2/7*y**5 - 2/7*y**j - 4/7*y**4 + 0 + 0*y**2 = 0?
-1, 0
Let h = 841 - 841. Let n(j) be the third derivative of 0 - 14*j**2 + 1/70*j**7 - 1/112*j**8 + h*j**3 + 1/4*j**4 - 1/4*j**5 + 3/40*j**6 + 0*j. Factor n(r).
-3*r*(r - 1)**3*(r + 2)
Suppose -5*m - 5*i + 20 = 0, 0*i + 12 = -5*m + 3*i. Determine l so that -1/2*l**5 + m*l**2 - 1/4*l**3 + 0*l + 0 - 3/4*l**4 = 0.
-1, -1/2, 0
Let g be 6/(-57) + 378/1064. Let j(v) be the first derivative of -3/4*v**2 - 5 + 3/4*v + g*v**3. Factor j(o).
3*(o - 1)**2/4
Let y(r) be the first derivative of r**4/8 + 46*r**3/3 + 529*r**2 - 308. Factor y(j).
j*(j + 46)**2/2
Let f(j) be the third derivative of j**8/1680 - j**6/45 - 3*j**4/8 - 12*j**2. Let i(s) be the second derivative of f(s). Factor i(v).
4*v*(v - 2)*(v + 2)
Suppose 0 = -l + 5*l - 2*s - 30, 40 = 5*l - 5*s. Suppose 0 = -8*f + l*f. Determine k so that f*k - 1/4*k**3 + 0 + 1/4*k**2 = 0.
0, 1
Let 92/7*y + 0 - 4/7*y**2 = 0. Calculate y.
0, 23
Let a = 10272 - 10268. Determine d, given that -4/5*d**a - 8/5*d**3 + 16/5*d**2 + 0 + 32/5*d = 0.
-2, 0, 2
Suppose 3*h = -d - 3, -24*h - 4 = -4*d - 28*h. Determine w so that 0*w**2 + 2*w - 2/3*w**d - 4/3 = 0.
-2, 1
Suppose 8 = 6*p - 16. Let -41*d**2 - p + 24*d - 34*d**2 - 14*d**4 + 46*d**3 + 21*d**2 + 2*d = 0. What is d?
2/7, 1
Let v(z) be the third derivative of -z**9/45360 + z**7/7560 + z**4 - 27*z**2. Let o(g) be the second derivative of v(g). Let o(d) = 0. What is d?
-1, 0, 1
Let a be -12 + -1 + 1 + 2. Let f(b) = -b**3 - 11*b**2 - 10*b + 3. Let p be f(a). Factor 5*o**4 - 11*o**3 + 6*o**2 + 22*o**p + o**2 + o.
o*(o + 1)**2*(5*o + 1)
Factor 30 + 4*l - 2*l**2 - 44*l + 5*l + 7*l.
-2*(l - 1)*(l + 15)
Find j such that -5*j**2 - 18*j**5 - 8*j**4 + 17*j**5 + 5*j**2 = 0.
-8, 0
Let m = 18 - 15. Let n be (6/m)/(4/12). Solve -6*a + n + 3*a**2 - a - 2*a = 0.
1, 2
Let l(w) be the second derivative of -w**4/72 + w**3/9 + w**2 - 6*w - 3. Determine u so that l(u) = 0.
-2, 6
Suppose -b - 2*b - 222 = -2*r, 0 = 4*r + 4*b - 404. Let -r*i**3 + 20*i**2 + 20*i**2 + 5*i**5 + 75*i**3 - 15*i = 0. Calculate i.
-3, 0, 1
Let p(w) = 119*w + 1309. Let r be p(-11). Factor r*t**2 + 0 + 0*t - 2/5*t**4 - 4/5*t**3 + 2/5*t**5.
2*t**3*(t - 2)*(t + 1)/5
Let -1/3*y**4 - 4/3*y**3 + 0 - 2/3*y - 5/3*y**2 = 0. Calculate y.
-2, -1, 0
Let n = 341 - 2045/6. Let a(s) be the first derivative of -1/2*s**2 - 4 - 1/5*s**5 - s + 1/2*s**4 - n*s**6 + 2/3*s**3. Factor a(z).
-(z - 1)**2*(z + 1)**3
Let q(z) = 5*z**2 - 537*z - 10595. Let r(d) = -2*d**2 + 180*d + 3532. Let h(s) = 4*q(s) + 11*r(s). What is g in h(g) = 0?
-42
Let h(r) = 2*r**2 + 15*r + 12. Let l be h(-7). Factor 12*w + 9*w**3 + 4 + 11*w**2 + w**2 - l*w**3.
4*(w + 1)**3
Let i(t) be the third derivative of -t**6/600 - t**5/30 + t**4/5 - 122*t**2. Solve i(g) = 0 for g.
-12, 0, 2
Let t(l) = -l**2 - 1727*l + 3459. Let w be t(2). Factor -8/7*m - 1/7*m**2 - w.
-(m + 1)*(m + 7)/7
Let v be 2 + (3 - (-225)/(-33)) + 2. Suppose -2*j + 5*j = 0. Find l such that v*l**3 + 0*l**4 + j*l - 2/11*l**5 + 0*l**2 + 0 = 0.
-1, 0, 1
Let j = -57 - -57. Suppose j = -p - 5*r + 5, -4*p + 7*r - 2*r = 5. Find b such that p*b + 2/5*b**2 - 2/5 = 0.
-1, 1
Let v(u) be the first derivative of -u**3/6 + 73*u**2/4 - 442. Factor v(i).
-i*(i - 73)/2
Let n(x) be the second derivative of x**4/42 + 6*x**3/