*2*(g + 1)**2
Let p be 34/(-289) + (40/51 - 0). Let t(m) = m + 3. Let y be t(-3). Let 0 - p*i**3 + y*i - 2/3*i**2 = 0. Calculate i.
-1, 0
Let p be 116/609*14/4. Factor -18*o**4 - 18*o**5 - 6*o**3 + 0*o + 0 - p*o**2.
-2*o**2*(3*o + 1)**3/3
Let g(y) be the second derivative of y**6/360 + y**5/180 - y**4/72 + y**3/3 - y. Let o(i) be the second derivative of g(i). Factor o(s).
(s + 1)*(3*s - 1)/3
Let v(g) = -27*g**2 - 54*g - 18. Let r(l) = 27*l**2 + 55*l + 17. Let b(c) = 6*r(c) + 5*v(c). Solve b(a) = 0 for a.
-2, -2/9
Let d = 151 - 151. Let l(o) be the third derivative of -1/105*o**7 + 0 + 0*o - 1/12*o**4 - o**2 + 1/60*o**6 + d*o**3 + 1/30*o**5. Solve l(u) = 0.
-1, 0, 1
Let w(q) be the third derivative of q**5/300 - q**4/120 + 17*q**2. Factor w(f).
f*(f - 1)/5
Let t(o) be the first derivative of 0*o**3 + 0*o**2 - 9 - 1/24*o**4 - 1/15*o**5 + 1/12*o**6 + 0*o. Solve t(c) = 0.
-1/3, 0, 1
Let o(t) = -t**2 - 5*t + 2. Let l be o(-5). Factor 0*h**3 - l*h - 2*h**3 + h**2 - 5*h**2.
-2*h*(h + 1)**2
Let b(a) be the third derivative of a**7/14 - a**6/20 - 3*a**5/4 - a**4/2 + 2*a**3 - 56*a**2. Factor b(c).
3*(c - 2)*(c + 1)**2*(5*c - 2)
Let y be 0/(0 - -1 - 3). Let f = y - -3. Suppose 1/4*a**4 - 1/4*a**5 - 1/2*a**2 - 1/4*a + 1/4 + 1/2*a**f = 0. Calculate a.
-1, 1
Let p be 2/12 + 33/153. Let f = p - -45/238. Factor 2/7 + f*r + 2/7*r**2.
2*(r + 1)**2/7
Let o(f) be the second derivative of f**6/300 + 2*f**5/75 + f**4/15 - f**2 - f. Let q(t) be the first derivative of o(t). Let q(v) = 0. What is v?
-2, 0
Let m be 2/(-2)*8/(-3 - 1). Suppose 3/2*o**4 + 0 - 9/2*o**m + 0*o**3 + 3*o = 0. What is o?
-2, 0, 1
Let d(f) be the second derivative of -f**5/5 + 4*f**4 - 32*f**3 + 128*f**2 - 6*f. Determine o, given that d(o) = 0.
4
Let a = 343/4 - 4451/52. Let 0 - 2/13*t - a*t**2 = 0. Calculate t.
-1, 0
Determine f so that 3*f**2 + 3/5*f**3 - 66/5*f + 48/5 = 0.
-8, 1, 2
Let g = 0 + 7. Let c(a) be the third derivative of 1/120*a**5 - 1/140*a**g + 1/24*a**4 - 1/60*a**6 + 0 + a**2 + 0*a + 0*a**3. Suppose c(w) = 0. Calculate w.
-1, 0, 2/3
Factor -9/2*i**3 - i**2 + 0*i + 0 - 7/2*i**4.
-i**2*(i + 1)*(7*i + 2)/2
Let g = -8 + 11. Suppose 0 = 4*h - h - 9. Solve 69*k**g - h*k - 32*k**4 + 5*k - 21*k**3 - 18*k**2 = 0.
0, 1/4, 1
Let f be (-1 + 1)/(34/(-17)). Suppose 3*v - 11 + 2 = f. Factor 3/4*q**2 + 0 + 1/4*q**v + 1/2*q.
q*(q + 1)*(q + 2)/4
Let i(l) be the third derivative of 1/36*l**4 + 1/315*l**7 - 1/270*l**6 + 0 - 1/27*l**3 - 1/1512*l**8 + 0*l - 7*l**2 - 1/135*l**5. Factor i(z).
-2*(z - 1)**4*(z + 1)/9
Let h be 3/8 + (280/(-64) - -6). Let -16/5*d**h + 2*d**3 + 2/5*d + 4/5 = 0. Calculate d.
-2/5, 1
Suppose 4*x - 6 = x. Let d(u) be the third derivative of 2*u**x - 1/24*u**3 - 1/240*u**5 + 0*u + 0 - 1/48*u**4. Find s such that d(s) = 0.
-1
Let m(n) = 3*n**4 - 3*n**3 - 6*n**2 - 4*n + 4. Let r(y) = -y**4 + y**2 + y - 1. Suppose -5*k - 16 = -11. Let c(b) = k*m(b) - 4*r(b). Factor c(j).
j**2*(j + 1)*(j + 2)
Let n be ((-54)/24)/((-3)/4). Suppose -x = 2*s - 5, 4*s = x + 4 + n. Factor -8/5*a**s + 8/5*a + 2/5*a**3 + 0.
2*a*(a - 2)**2/5
Let k(m) be the first derivative of m**7/735 - m**5/210 - 3*m**2/2 + 1. Let s(d) be the second derivative of k(d). Factor s(q).
2*q**2*(q - 1)*(q + 1)/7
Let y(u) be the second derivative of u**3/3 + 11*u**2 - 7*u. Let h be y(-9). What is o in 0*o + 25/2*o**5 + 5/2*o**h - 8*o**3 + 0 + 2*o**2 = 0?
-1, 0, 2/5
Let z(w) = -3*w**3 + w**2 - w + 3. Let k = -15 - 3. Let p(m) = -m**2 + 4*m**2 + 11 + 2 - 3*m - 13*m**3. Let i(n) = k*z(n) + 4*p(n). Let i(r) = 0. Calculate r.
1
Let f be (-6 - (-4 + -1))*12/(-33). Factor 2/11*q**2 - 10/11*q + f*q**3 + 4/11.
2*(q - 1)*(q + 2)*(2*q - 1)/11
Let i(d) = -16*d**3 + 41*d**2 - 16*d + 3. Let u(m) = m**2 + m + 1. Let k(j) = -i(j) + u(j). Determine h, given that k(h) = 0.
1/4, 2
Let u(m) be the third derivative of -m**9/110880 + m**8/27720 + m**7/27720 - m**6/1980 + m**5/12 + m**2. Let z(p) be the third derivative of u(p). Factor z(x).
-2*(x - 1)**2*(3*x + 2)/11
Suppose 3*h - 5*g + 3*g - 6 = 0, 0 = -5*h + 5*g + 10. Factor 1/3*o**4 + 0*o + 0 + 0*o**3 - 1/3*o**h.
o**2*(o - 1)*(o + 1)/3
Let c(u) be the third derivative of -u**8/504 + u**7/315 + u**6/36 + u**5/30 + 35*u**2. Factor c(q).
-2*q**2*(q - 3)*(q + 1)**2/3
Let a be 29 + -24 + (-24)/5. Determine x so that 0*x + 0*x**3 + a*x**4 + 0*x**2 + 0 = 0.
0
Suppose 0 = 3*b + 5*h - 10, -4*b + 3*h - 8 = -2. Factor b - 1/2*d - 1/2*d**2.
-d*(d + 1)/2
Let c = 13/7 + -25/21. Let d(k) be the first derivative of -2/15*k**5 + 1/2*k**4 + 1/3*k**2 - c*k**3 - 3 + 0*k. Determine o, given that d(o) = 0.
0, 1
Let y(b) be the second derivative of -b**4/2 - 7*b**3/9 + 2*b**2/3 + 3*b. Factor y(h).
-2*(h + 1)*(9*h - 2)/3
Let s(g) be the third derivative of g**5/35 + 5*g**4/84 - g**3/21 - 11*g**2. Factor s(f).
2*(f + 1)*(6*f - 1)/7
Let i(r) be the third derivative of 1/120*r**5 + 0 + 2*r**2 - 1/840*r**7 + 0*r + 0*r**3 + 1/480*r**6 + 0*r**4. Let i(o) = 0. Calculate o.
-1, 0, 2
Factor 0*a**2 + 6/13*a - 2/13*a**3 + 4/13.
-2*(a - 2)*(a + 1)**2/13
Solve -2/5*d + 0 - 6/5*d**3 + 2/5*d**4 + 6/5*d**2 = 0 for d.
0, 1
Let p(q) = -3*q**2 - 12*q - 1. Let v(d) = 3*d - d**2 - 5*d + 3*d - 5*d. Let w = 8 - 4. Let g(z) = w*p(z) - 11*v(z). Suppose g(b) = 0. Calculate b.
-2
Let n(b) be the second derivative of 5*b**4/3 + 115*b**3/6 + 75*b**2/2 + 2*b - 8. Factor n(u).
5*(u + 5)*(4*u + 3)
What is v in 2710 + 2*v**2 - 2710 + 2*v**3 - 4*v = 0?
-2, 0, 1
Let f(q) be the first derivative of q**5/25 - 2*q**3/15 + q/5 - 8. Factor f(l).
(l - 1)**2*(l + 1)**2/5
Let o(n) be the first derivative of 8/5*n**2 - 5 + 12/5*n + 4/15*n**3. Determine f, given that o(f) = 0.
-3, -1
Find w, given that -9/7*w**3 + 0 + 3/7*w**5 + 0*w**4 + 0*w - 6/7*w**2 = 0.
-1, 0, 2
What is y in -3/4*y**2 + 3/2*y - 3/4 = 0?
1
Let a be (4/16)/((-18)/(-48)). Factor 1/3*g**2 - a - 1/3*g.
(g - 2)*(g + 1)/3
Let d = -333/304 + 22/19. Let t(p) be the second derivative of -d*p**4 + 3*p + 0 + 1/12*p**3 + 0*p**2. Suppose t(s) = 0. What is s?
0, 2/3
Let p(i) = -i - 9. Let g be p(-9). Suppose a = -2*k - g*a + 1, 4*a = -4*k - 4. Factor -3*v**2 - 9 + 12*v + 4*v**k - 5*v**2.
-(2*v - 3)**2
Let u(z) be the second derivative of 2/15*z**3 + 3*z + 1/15*z**4 + 0*z**2 + 1/100*z**5 + 0. Factor u(p).
p*(p + 2)**2/5
Let u = -524/7 + 4730/63. Suppose 2/3*o**2 - 8/9 + 0*o - u*o**3 = 0. What is o?
-1, 2
Let 0*a + 0 - 2/3*a**2 = 0. Calculate a.
0
Suppose -5*r = 3938 - 1408. Let u = r + 3550/7. Determine k so that -2*k**3 - u + 24/7*k + 18/7*k**2 = 0.
-1, 2/7, 2
Let j(b) = b**2 - 1. Let d(c) = c**3 - c. Suppose 5*v - 5*r = 5, -v + 1 = 2*v - 4*r. Let x(i) = v*d(i) + 6*j(i). Suppose x(h) = 0. What is h?
-2, -1, 1
Let s be 3/6 + (-1)/2. Let u(l) be the first derivative of 10/3*l**3 + 7/2*l**4 + s*l - 2*l**2 + 2. What is d in u(d) = 0?
-1, 0, 2/7
Let g(f) be the third derivative of -f**7/1470 + f**6/280 - f**4/42 - 15*f**2. Find u, given that g(u) = 0.
-1, 0, 2
Let p = 7 - 5. Let t(y) = -2*y**p + 6*y - 5*y**2 - 4*y**2 - 3*y**2 - 9*y**3. Let v(d) = 2*d**3 + 3*d**2 - d. Let n(j) = 4*t(j) + 22*v(j). Factor n(z).
2*z*(z + 1)*(4*z + 1)
Let a be (35/(-10) + 5)*2. Let c(n) be the first derivative of -1/2*n**a + 5/4*n**2 - 1/8*n**4 + 1/10*n**5 - n + 1. Determine m so that c(m) = 0.
-2, 1
Let q be 4/(-16) + (-11)/4. Let o(r) = -r**3 + 2*r**2 + 3*r + 4. Let h = 4 + -8. Let y(z) = z**3 - 2*z**2 - 2*z - 3. Let s(n) = h*y(n) + q*o(n). Solve s(t) = 0.
0, 1
Suppose -5*t - 4*m = -27, 4*t = 4*m - 0*m. Determine o so that 0*o**5 + 2*o**3 + o**5 - t*o**5 = 0.
-1, 0, 1
Let v(f) be the second derivative of -f**7/231 + 2*f**6/165 - f**5/110 - 18*f. Factor v(r).
-2*r**3*(r - 1)**2/11
Let q(l) be the second derivative of l**3/2 - 3*l**2 + l. Let o be q(4). Solve -o*w + 4*w - 2*w**3 + w**5 + 3*w = 0 for w.
-1, 0, 1
Let s = 66 + -63. Determine c so that -1/3*c**2 - 1/3*c + 5/3*c**4 + c**s + 2/3*c**5 + 0 = 0.
-1, 0, 1/2
Let g(j) be the second derivative of 1/150*j**5 - 1/60*j**4 + 3*j + 0*j**3 + 1/2*j**2 + 0. Let w(n) be the first derivative of g(n). Factor w(d).
2*d*(d - 1)/5
Let u(h) = 2*h**2 + 4*h + 2. Let d be u(-2). Let n be ((-2)/8)/(d/(-4)). Find w such that 0*w**2 + 2*w**5 - 5/2*w**4 + 0*w + n*w**3 + 0 = 0.
0, 1/4, 1
Let k be 1/(-2) + (-10)/(-4). Find g such that -k*g**4 + 4*g**2 + 0*g**4 - 2*g**2 = 0.
-1, 0, 1
Let p(s) be t