0*c**6. Let x(l) = 0. What is l?
-1, -2/3, 1
Let x be ((-3)/15 + 1)*5. Let d be 25/x + 1/(-4). Solve t**3 - 5*t**3 + d*t**3 - 9*t**4 + 8*t**2 + 1 - 6*t + 4*t**5 = 0 for t.
-1, 1/4, 1
Let h(g) be the first derivative of -4 + 0*g**3 + 0*g**2 + 0*g - 5/9*g**6 + 14/15*g**5 - 1/3*g**4. Determine d so that h(d) = 0.
0, 2/5, 1
Let w(m) be the third derivative of 9*m**6/40 + 3*m**5/20 - 5*m**4/8 + m**3/2 + 6*m**2. Factor w(j).
3*(j + 1)*(3*j - 1)**2
Let g(v) = v**3 + 4*v**2 + 3*v - 3. Let p(h) = 8*h**3 + 28*h**2 + 20*h - 20. Let b(m) = -20*g(m) + 3*p(m). Factor b(d).
4*d**2*(d + 1)
Let d(l) be the first derivative of 2/5*l - 1 + 1/10*l**4 - 1/5*l**2 - 2/15*l**3. Solve d(b) = 0.
-1, 1
What is x in 0*x**2 + 0 + 2/9*x**5 - 10/9*x**3 + 0*x**4 + 8/9*x = 0?
-2, -1, 0, 1, 2
Let p(i) = -19*i**3 - 2*i + 3. Let u(z) = -z**3 - z + 1. Let c(q) = -2*p(q) + 6*u(q). What is j in c(j) = 0?
-1/4, 0, 1/4
Let g(k) = -k**3 + 7*k**2 + 2*k + 4. Let x(h) = -h**3 + 6*h**2 + h + 3. Let u(f) = 3*g(f) - 4*x(f). Solve u(b) = 0 for b.
0, 1, 2
Suppose 4*h = -d + 15, 0*d + 3*d = -15. Let r(p) be the second derivative of 0 + 5*p - 1/150*p**6 + 1/30*p**3 + 1/60*p**4 + 0*p**2 - 1/100*p**h. Factor r(i).
-i*(i - 1)*(i + 1)**2/5
Let -2/7*t**4 + 6/7*t**2 + 0*t**3 + 0 + 4/7*t = 0. What is t?
-1, 0, 2
Let l be (18/12)/((-1)/(-2)). Factor 5*m**3 - m**3 - 3*m**2 - 10*m**3 - l*m**4.
-3*m**2*(m + 1)**2
Let j(u) = -u**2 + 7*u + 8. Let c be j(8). Let b(m) be the first derivative of m**2 + c*m + 3 + 2/3*m**3. What is x in b(x) = 0?
-1, 0
Let p(n) be the first derivative of 3/4*n**4 - 4 + 0*n**2 - 2*n**3 + 0*n + 3/5*n**5. Factor p(v).
3*v**2*(v - 1)*(v + 2)
Let j(z) be the first derivative of z**6/3 + 8*z**5/15 + z**4/6 + 5. Find a, given that j(a) = 0.
-1, -1/3, 0
Let v(x) be the first derivative of -x**6/3 - 8*x**5/5 - 5*x**4/2 - 4*x**3/3 + 11. Suppose v(d) = 0. Calculate d.
-2, -1, 0
Let k(y) be the third derivative of -y**6/1620 + y**5/270 - y**4/108 + y**3/2 - 3*y**2. Let o(l) be the first derivative of k(l). Let o(h) = 0. What is h?
1
Let k(z) = -z**2 + z - 1. Let j(i) = -5*i**2 + 5*i + 9. Let y(w) = j(w) - 3*k(w). Find m, given that y(m) = 0.
-2, 3
Let c(j) be the first derivative of -2*j**5/15 - 5*j**4/6 - 2*j**3 - 7*j**2/3 - 4*j/3 - 20. Factor c(f).
-2*(f + 1)**3*(f + 2)/3
Let r = 8 + -12. Let a be 0/(r + 0 + 2). Determine h, given that -h**3 + 0*h + a*h = 0.
0
Let m(j) be the second derivative of -j**6/180 - j**5/30 + j**4/4 - 5*j**3/9 + 7*j**2/12 + 13*j. Factor m(r).
-(r - 1)**3*(r + 7)/6
Suppose -2*s + 5 = -b, 3*s = 6*s - 2*b - 8. Suppose 2/3*d + 2/3*d**3 + 0 + 4/3*d**s = 0. What is d?
-1, 0
Let i(j) = j**2 - 10*j + 27. Let t be i(5). Solve 1/3*z**3 - 1/3*z**t - 2/3*z + 0 = 0.
-1, 0, 2
Let v(g) be the third derivative of 4*g**2 + 0*g + 0*g**3 - 1/1680*g**8 + 0 + 0*g**4 + 1/300*g**5 - 1/1050*g**7 + 1/600*g**6. Factor v(h).
-h**2*(h - 1)*(h + 1)**2/5
Let h(s) be the first derivative of -s**8/5880 + s**7/1470 - s**6/1260 - 2*s**3/3 - 2. Let w(q) be the third derivative of h(q). Factor w(t).
-2*t**2*(t - 1)**2/7
Let -3*r**3 + 36*r - 38*r + 5*r**3 - 3*r**3 - 3*r**2 = 0. What is r?
-2, -1, 0
Let l(b) = -2*b**2 - 4*b + 1. Let m = -25 + 16. Let j = -15 - m. Let a(u) = 11*u**2 + 24*u - 7. Let k(x) = j*a(x) - 34*l(x). Factor k(h).
2*(h - 2)**2
Factor 4 + r**3 + 16 + 3*r**3 + 60*r + 28*r**2 + 16.
4*(r + 1)*(r + 3)**2
Let x(v) be the second derivative of -v**5/30 + v**4/2 - 3*v**3 - v**2/2 + 4*v. Let y(z) be the first derivative of x(z). Factor y(k).
-2*(k - 3)**2
Suppose 2/9*y**5 + 0*y - 2/9*y**3 + 0 - 4/9*y**2 + 4/9*y**4 = 0. What is y?
-2, -1, 0, 1
Let j be (1/2 - (-3)/(-6))/1. Solve 4/7*n + 6/7*n**3 - 10/7*n**5 + j - 2*n**2 + 2*n**4 = 0.
-1, 0, 2/5, 1
Let i(u) = 1 + u**5 - 21*u + 24*u - 3. Let k(j) = 4*j**5 + j**4 - j**2 + 10*j - 7. Let h(p) = 7*i(p) - 2*k(p). Factor h(r).
-r*(r - 1)*(r + 1)**3
Let d = -631/8 + 79. Let r(s) be the second derivative of d*s**3 - 1/8*s**2 + 0 + 2*s - 1/16*s**4 + 1/80*s**5. Determine b, given that r(b) = 0.
1
Solve 8*v - 4*v + 4*v - 4*v**2 + 4*v = 0.
0, 3
Solve -2/3*b + 2/3*b**3 - 2/3 + 2/3*b**2 = 0.
-1, 1
Suppose 3*h + 4 = 4*h. Let f(c) = -3*c**2 + 2*c - 5. Let y(j) = 2*j**2 - 2*j + 4. Let o(a) = h*f(a) + 5*y(a). Factor o(g).
-2*g*(g + 1)
Let f be 3 + 1 + (4 - 10 - -8). Let k(b) be the second derivative of 0 - 3*b + 1/5*b**f + 0*b**2 + 1/2*b**5 + 1/9*b**3 + 7/18*b**4. Factor k(z).
2*z*(z + 1)*(3*z + 1)**2/3
Let m be 2*(36/(-56))/(-3). Let u(d) be the first derivative of 2/7*d - 1 + 2/7*d**3 - 1/14*d**4 - m*d**2. Solve u(v) = 0 for v.
1
Let d(r) be the third derivative of 0*r**3 - 1/3*r**4 + 7*r**2 + 0 - 1/15*r**5 + 0*r. Factor d(i).
-4*i*(i + 2)
Let f = 554 - 553. Factor -4/3*j - 2/3*j**2 + f - 1/3*j**4 + 4/3*j**3.
-(j - 3)*(j - 1)**2*(j + 1)/3
Let r(g) be the second derivative of 1/25*g**5 + g + 0 + 1/75*g**6 - 1/15*g**3 - 1/15*g**4 - 1/105*g**7 + 1/5*g**2. Determine w so that r(w) = 0.
-1, 1
Let y = 0 - -2. Factor y*s**2 - 4*s + 4*s.
2*s**2
Let g(v) = 2 - 17*v**2 + 6*v**3 - 15 - 21*v - 2*v**3. Let x(k) = -2*k**3 + 8*k**2 + 10*k + 6. Let h(w) = 6*g(w) + 13*x(w). What is s in h(s) = 0?
-1, 0, 2
Let v(l) be the second derivative of l**6/6 - 3*l**5 + 45*l**4/2 - 90*l**3 + 405*l**2/2 - l. Factor v(f).
5*(f - 3)**4
Let l = 10347/7 - 1475. Factor -34/7*h**3 - l*h + 4/7 + 6*h**2 + 10/7*h**4.
2*(h - 1)**3*(5*h - 2)/7
Factor -2/13*q**3 + 0*q**2 + 0 + 2/13*q.
-2*q*(q - 1)*(q + 1)/13
Let t(d) be the first derivative of d**6/360 + d**5/120 - 2*d**3/3 - 2. Let j(n) be the third derivative of t(n). Factor j(r).
r*(r + 1)
Suppose -2*z - 2 = -3*z. Factor z*p**2 - 3*p**2 + 2*p - p**2.
-2*p*(p - 1)
Let c(h) be the second derivative of 3*h - 2/15*h**5 + 1/9*h**3 + 0 - 1/6*h**4 + 0*h**2. Suppose c(t) = 0. Calculate t.
-1, 0, 1/4
Let f be -4*-10*(-4)/(-32). Find w, given that 281*w**2 - 68*w**2 - 525*w**4 + 75*w**3 - 250*w**5 - 24*w - 12 - 125*w**f = 0.
-1, -1/5, 2/5
Let m be (2/14)/((-5)/(-20)). Factor 2/7*f**2 - m - 2/7*f.
2*(f - 2)*(f + 1)/7
Factor 10*y**2 + 18/5 + 12*y.
2*(5*y + 3)**2/5
Let z = 2 - -1. Let w be z/(-6) + 18/20. Suppose 0*k**2 + w*k + 0*k**4 - 4/5*k**3 + 0 + 2/5*k**5 = 0. Calculate k.
-1, 0, 1
Let m(o) = -4*o**4 - 13*o**3 - 20*o**2 - 9*o - 6. Let v(r) = 4*r**4 + 12*r**3 + 19*r**2 + 8*r + 7. Let w(u) = -5*m(u) - 4*v(u). Factor w(b).
(b + 1)**2*(b + 2)*(4*b + 1)
Let q be 3/(-9)*(-4)/10. Let x(d) be the first derivative of -1/5*d**2 - 2/5*d + 1/10*d**4 - 1 + q*d**3. Factor x(y).
2*(y - 1)*(y + 1)**2/5
Let n be 4/39 + 2/(-5). Let l = 4/39 - n. Solve 0*v + l*v**2 - 12/5*v**3 + 0 + 18/5*v**4 = 0.
0, 1/3
Let q(c) be the second derivative of -5*c**4/12 - 10*c**3/3 - 10*c**2 - 7*c. Suppose q(j) = 0. What is j?
-2
Let d(x) = -x**3 - x**2 + x - 2. Let m be d(-2). Let n(i) be the first derivative of m*i + i**2 - 2/3*i**3 - 2. Factor n(t).
-2*t*(t - 1)
Let u(w) be the third derivative of 1/80*w**5 - 1/32*w**4 + 0 + 0*w**3 + 0*w - 4*w**2. Factor u(l).
3*l*(l - 1)/4
Let v(w) be the first derivative of 1/3*w**3 - 5 + 1/15*w**6 + 7/25*w**5 + 9/20*w**4 + 1/10*w**2 + 0*w. Factor v(n).
n*(n + 1)**3*(2*n + 1)/5
Let k be 141/21 - ((-42)/(-7))/6. Find c such that 18/7*c**4 - 60/7*c**3 + 8/7 - k*c + 74/7*c**2 = 0.
2/3, 1
Let v(y) = -y + 9. Let x = 13 - 6. Let m be v(x). What is c in -m*c - 2 + 1 - c**2 + 0 = 0?
-1
Factor 2*q**2 - 6*q**2 - 3*q**3 - q**4 + 2*q**2.
-q**2*(q + 1)*(q + 2)
Let m(b) be the second derivative of -2*b**7/21 - 2*b**6/5 - 2*b**5/5 - b. Determine f, given that m(f) = 0.
-2, -1, 0
Let x(r) = 21*r**4 + 11*r**3 - 10*r**2 - 11. Let a(o) = 4*o**4 + 2*o**3 - 2*o**2 - 2. Let c(h) = 11*a(h) - 2*x(h). Factor c(m).
2*m**2*(m - 1)*(m + 1)
Let w(r) be the second derivative of 0*r**2 - 3/50*r**5 - 1/15*r**4 + 4/25*r**6 - 1/15*r**7 + 3*r + 0*r**3 + 0. Factor w(x).
-2*x**2*(x - 1)**2*(7*x + 2)/5
Suppose 0*y + 5*y = -v + 4, -5*v - y = -20. Suppose -v = 4*t - 4*q, t + 4*t - 3*q = 1. Solve 0 + 2/7*w**4 + 2/7*w**3 - 2/7*w**t - 2/7*w = 0.
-1, 0, 1
Let w be ((-8)/10)/(6/(-5)). Find m, given that 1/3*m - 2/3*m**3 - w*m**2 + 1/3*m**5 + 1/3 + 1/3*m**4 = 0.
-1, 1
Suppose 0 = -4*d + u - 3 + 5, -3*d + 2 = -u. Suppose d + 2/7*i**2 + 2/7*i**3 - 4/7*i = 0. Calculate i.
-2, 0, 1
Factor -10*k**3 + k**2 + 8*k + 7*k**2 + 35*k**4 - 41*k**4.
-2*k*(k - 1)*(k + 2)*(3*k + 2)
Let s(z) be the second der