4 - 3*g + 0*g**n + 0. Suppose c(h) = 0. Calculate h.
-1, 0
Factor -20/3*j**2 - 28/3*j + 8/3 + 16/3*j**3.
4*(j - 2)*(j + 1)*(4*j - 1)/3
Factor 108/7*p + 4/7*p**3 + 36/7*p**2 + 108/7.
4*(p + 3)**3/7
Suppose 12*c**2 + 8*c**3 + 4 + 12*c - 4*c**3 + 0*c**2 = 0. What is c?
-1
Find p, given that -45*p**2 + 67*p - 80 + 18*p + 5*p**3 + 35*p = 0.
1, 4
Let k(x) be the third derivative of 7*x**2 + 0*x - 1/300*x**5 + 0*x**3 + 1/120*x**4 + 0. Find v, given that k(v) = 0.
0, 1
Let r(q) = -q**5 - 2*q**4 - 5*q**3 - 2. Let b(p) = -p**5 - p**4 - p**3 + p**2 - 1. Let t(o) = 4*b(o) - 2*r(o). Factor t(z).
-2*z**2*(z - 2)*(z + 1)**2
Suppose -3 + 8 - 3*v**4 + 9*v**3 - 12*v - 5 = 0. Calculate v.
-1, 0, 2
Suppose 15 = -3*a + 6*a. Suppose -2*x - w = 4, a*x = -w + 3*w + 8. Solve 1/2*l**3 + x*l**2 + 0 + 0*l = 0 for l.
0
Let i(c) = -4 - 2*c**3 + 0 + 4 - 6*c. Let s(n) = -n**3 - n. Suppose -5*a - 5 = -3*q, -a - 3*q = 3*a + 4. Let y(v) = a*i(v) + 4*s(v). Find d such that y(d) = 0.
-1, 0, 1
Let v(h) be the first derivative of -1 - 2/9*h**2 + 0*h - 22/27*h**3. Solve v(s) = 0.
-2/11, 0
Let l(f) = f - 1. Let s be l(11). Let r be (s + -5)*(0 + 1). What is k in 4*k**4 - 3*k**4 - 4*k**3 - 2*k**5 + 6*k**r - k**2 = 0?
-1, -1/4, 0, 1
Let m be 608/104 - (-2)/13. Let i(c) be the third derivative of -1/6*c**3 - 3*c**2 + 0 + 0*c + 1/60*c**5 - 1/16*c**4 + 1/80*c**m. Suppose i(n) = 0. Calculate n.
-1, -2/3, 1
Let i(y) be the second derivative of -y**4/27 - 16*y**3/27 - 32*y**2/9 + 13*y. Determine j so that i(j) = 0.
-4
Let w(y) = 11*y**5 + 50*y**4 + 45*y**3 + 14*y**2 + 4*y. Let k(l) = 34*l**5 + 150*l**4 + 135*l**3 + 41*l**2 + 11*l. Let u(h) = -4*k(h) + 11*w(h). Solve u(q) = 0.
-2, -1, -1/3, 0
Let q(c) be the second derivative of -147*c**6/10 + 21*c**5/4 + 4*c**4 - 2*c**3 + 15*c. Find z, given that q(z) = 0.
-1/3, 0, 2/7
Let -5/4*z - 7/2 + 1/4*z**2 = 0. Calculate z.
-2, 7
Let a(c) be the third derivative of c**6/30 - c**5/15 - c**4/6 + 2*c**3/3 - 14*c**2. Factor a(r).
4*(r - 1)**2*(r + 1)
Factor -3*n + 5*n**4 - 14*n**4 - 4*n**3 + 2 + 7*n**4 + 7*n.
-2*(n - 1)*(n + 1)**3
Let h(s) = -6*s - 2. Let q be h(-2). Factor -q*o**4 - 13*o**2 - 3*o**5 - 24*o**3 + o**2 - 5*o**4.
-3*o**2*(o + 1)*(o + 2)**2
Let s(l) be the second derivative of -l**4/18 - l**3/3 + 4*l**2/3 - 5*l. Let s(j) = 0. Calculate j.
-4, 1
Let z be 80/(-7) - (-24)/56. Let a = z + 16. Determine r, given that 1/4*r**2 + 23/4*r**3 + a*r**4 + 0 - 1/2*r = 0.
-1, -2/5, 0, 1/4
Let b be (-21)/(-6) - (-3)/(-6). Let r(q) be the second derivative of 1/6*q**b - 1/20*q**5 - 1/12*q**4 - 2*q + 1/2*q**2 + 0. What is p in r(p) = 0?
-1, 1
Let j(r) = -7*r + 14. Let b be j(2). Factor b + 2/7*g - 2/7*g**2.
-2*g*(g - 1)/7
Let 0 - 3/2*t**3 + 5/2*t**2 - t = 0. What is t?
0, 2/3, 1
Let t(c) be the third derivative of 1/105*c**5 - 1/420*c**6 + 0 + 0*c - 1/84*c**4 + 0*c**3 + 2*c**2. Solve t(g) = 0.
0, 1
Let t(n) be the first derivative of n**6/21 + 2*n**5/35 - 3*n**4/14 - 10*n**3/21 - 2*n**2/7 + 5. Factor t(c).
2*c*(c - 2)*(c + 1)**3/7
Let u(c) be the second derivative of 7*c**6/6 + 5*c**5/4 - 5*c**4/6 - 13*c. Factor u(b).
5*b**2*(b + 1)*(7*b - 2)
Let t(g) = -3*g**3 - 11*g**2 + 11. Let x = -6 - 1. Let l(c) = -5*c**3 - 21*c**2 + 23. Let d(z) = x*t(z) + 3*l(z). Factor d(k).
2*(k + 1)*(k + 2)*(3*k - 2)
Let q(n) = -n**3 + 4*n**2 + 2*n. Let g(j) = j**2. Let l(v) = 6*g(v) - 2*q(v). Factor l(c).
2*c*(c - 2)*(c + 1)
Let y(z) be the first derivative of z**6/8 - 3*z**5/20 - 3*z**4/16 + z**3/4 - 4. Factor y(b).
3*b**2*(b - 1)**2*(b + 1)/4
Let z(j) be the second derivative of j**4/18 + 4*j**3/27 - 4*j**2/9 + 2*j. Factor z(p).
2*(p + 2)*(3*p - 2)/9
Let q(a) be the first derivative of 1/14*a**4 + 4 + 18/7*a - 10/21*a**3 + 3/7*a**2. Factor q(t).
2*(t - 3)**2*(t + 1)/7
Let c be (12/(-10))/(-6) - 7/(-15). Factor -c*k**2 + 0 + 2/3*k.
-2*k*(k - 1)/3
Let o(l) = -2*l**2 - 2*l - 2. Let s(p) = p**3 + 2*p**2 + 3*p + 3. Let h(n) = -6*o(n) - 4*s(n). Factor h(j).
-4*j**2*(j - 1)
Let n = -44 + 50. Let k(c) be the second derivative of 1/60*c**n + 0*c**5 + 0 - 1/8*c**4 + 1/6*c**3 + 3*c + 0*c**2. Factor k(s).
s*(s - 1)**2*(s + 2)/2
Solve -8/19 + 8/19*x - 2/19*x**2 = 0 for x.
2
Let u(m) be the third derivative of -m**8/6720 - m**7/1260 - m**6/720 + m**4/12 + 9*m**2. Let j(y) be the second derivative of u(y). Find v such that j(v) = 0.
-1, 0
Let o be (4/(-20)*-8)/((-63)/(-15)). Let y(z) be the first derivative of -2 + 9/7*z**2 + o*z**3 + 4/7*z. Factor y(h).
2*(h + 2)*(4*h + 1)/7
Let i(t) be the second derivative of -t**6/10 - 3*t**5/10 + t**4/4 + t**3 + 8*t. Factor i(f).
-3*f*(f - 1)*(f + 1)*(f + 2)
Let u(b) be the second derivative of b**5/100 + b**4/30 - b**3/30 - b**2/5 + 5*b. Factor u(n).
(n - 1)*(n + 1)*(n + 2)/5
Let i(p) be the third derivative of -3*p**5/80 - 7*p**4/32 - p**3/4 + p**2. Determine v, given that i(v) = 0.
-2, -1/3
Let j(s) be the third derivative of -s**7/630 - s**6/360 + s**5/60 + s**4/72 - s**3/9 - 2*s**2. Solve j(t) = 0 for t.
-2, -1, 1
Let b = -3 - -5. What is x in 1/3 - 1/6*x**b + 1/2*x - 1/6*x**4 - 1/2*x**3 = 0?
-2, -1, 1
Let y(z) = z**2 + z - 9. Let n be y(-4). Let i(u) be the second derivative of -1/2*u**4 + 2/9*u**n + 0 + 0*u**2 - 3*u + 1/5*u**6 - 1/15*u**5. Solve i(d) = 0.
-1, 0, 2/9, 1
Let b = 49 - 45. Solve -1/4*k**5 + 0 - k**b - 3/2*k**3 - k**2 - 1/4*k = 0 for k.
-1, 0
Let q(p) be the first derivative of p**7/315 - p**6/45 + 2*p**5/45 + p**2 + 2. Let g(u) be the second derivative of q(u). Factor g(s).
2*s**2*(s - 2)**2/3
Factor 0 - 3/2*i**3 - 6*i - 15/2*i**2.
-3*i*(i + 1)*(i + 4)/2
Factor -6*n + 15/4*n**3 + 3/4*n**2 + 3 - 3/4*n**4 - 3/4*n**5.
-3*(n - 1)**3*(n + 2)**2/4
Let o be (2 + (-48)/27)*3. Let y be 4/14 + 2/(-7). Let y*l + o - 2/3*l**2 = 0. What is l?
-1, 1
Let d(q) = -q**2 - 8*q + 9. Let a be d(-9). Let l be (0 - (2 - 4)) + -2. Factor -1/3*p**2 - 1/3*p**3 + a + l*p.
-p**2*(p + 1)/3
Let v = -21 - -316/15. Let h(g) be the second derivative of 0 + 0*g**2 - v*g**6 - 5/6*g**4 + 3*g - 2/5*g**5 - 2/3*g**3. Factor h(s).
-2*s*(s + 1)**2*(s + 2)
Suppose -5*r = -16 + 1. Factor -4*w**4 + 22*w**r + 36*w**4 + 2*w**2 + 2 + 0*w - 70*w**3 + 12*w.
2*(w - 1)**2*(4*w + 1)**2
Let r(g) be the third derivative of -g**7/4200 + g**6/600 - g**4/6 - g**2. Let s(w) be the second derivative of r(w). Determine b so that s(b) = 0.
0, 2
Let n be (12/(-32)*3)/(33/(-22)). Factor n*c - 3/4*c**2 - 1/4 + 1/4*c**3.
(c - 1)**3/4
Let h(d) = -d**2 + 1. Let l(o) = -o**3 - 4*o**2 + 8*o + 2. Let s(z) = -2*h(z) + l(z). Let s(b) = 0. Calculate b.
-4, 0, 2
Let h(q) = -q**2 + 3*q + 4. Let u be h(3). Suppose -5*i + 2*i = 0. Factor i*m**2 + 2*m + m**2 - u*m.
m*(m - 2)
Let l(x) = -x**2 - 13*x - 9. Let o be l(-12). Find d such that 12/7*d**2 + 2/7*d**4 - 8/7*d**o - 8/7*d + 2/7 = 0.
1
Let q = 11970/17 - 704. Factor 0*f**3 + 0*f - 2/17*f**5 - q*f**4 + 0*f**2 + 0.
-2*f**4*(f + 1)/17
Let z be (-4)/(-6)*(10 - (8 - 1)). Factor 4/3*i + 0 + 2/3*i**z.
2*i*(i + 2)/3
Let z = 0 - -4. Suppose w - 3*w = -z. Solve 4*s**w - 2*s + 2 - 2*s**3 - s - 2*s + s**3 = 0.
1, 2
Let s(g) be the first derivative of -g**6/2 - 3*g**2/2 - 2*g + 3. Let p(a) = 7*a**5 + a**3 + 7*a + 5. Let v(r) = -2*p(r) - 5*s(r). Let v(f) = 0. What is f?
-1, 0, 1
Let h(m) = m**2 - 4*m - 6. Let l be h(6). Suppose -l*w + z + 4 = -2*w, 3*w - 10 = -z. Solve g - 6*g**2 - 8*g**4 - 14*g**3 + g + w*g**2 = 0.
-1, 0, 1/4
Let f(u) be the second derivative of u**4/78 + 2*u**3/39 + u**2/13 - 7*u. Factor f(w).
2*(w + 1)**2/13
Let o = -54 - -59. Solve -2/7*k + 4/7*k**3 + 0 + 0*k**4 + 0*k**2 - 2/7*k**o = 0 for k.
-1, 0, 1
Let w(m) be the second derivative of 0*m**2 + 0*m**4 + 1/40*m**5 + 0*m**3 + 0 + 2*m. Solve w(r) = 0 for r.
0
Suppose 3*v - i = -0*i + 5, -2*v - 2*i + 14 = 0. Let j(h) be the first derivative of 0*h + 1/9*h**v + 2 - 1/6*h**2. Determine q so that j(q) = 0.
0, 1
Factor -3*k**2 + 2*k**2 - 1 + 24*k + 49 + 4*k**2.
3*(k + 4)**2
Solve 0 + 9/4*g**3 + 9/4*g**2 + 9/4*g**5 - 21/4*g**4 - 3/2*g = 0 for g.
-2/3, 0, 1
Let k be (-1)/8 - 5/(-2 + -38). Factor -2/5*o**2 + 2/5*o + k.
-2*o*(o - 1)/5
Let f(q) be the third derivative of 2*q**7/105 + q**6/15 + q**5/15 - 3*q**2. Suppose f(x) = 0. What is x?
-1, 0
Let l(s) = 7*s**2 - 4*s. Let d = -5 + 7. Suppose 0 = f + d*f - 15. Let j(b) = -6*b**2 + 4*b. Let u(g) = f*j(g) + 4*l(g). Solve u(z) = 0.
0, 2
Factor 0 + 4/7*x**2 - 8