) be the third derivative of 0*p**3 + f*p - 1/180*p**6 - 1/36*p**4 + 0 + p**2 - 1/45*p**5. Factor a(y).
-2*y*(y + 1)**2/3
Let i(v) = v - 3. Let u be i(5). Let d be (1 + -2 - -3) + 0. Factor d*s**2 - 2*s**4 + u*s - 2*s**3 - 7 + 7.
-2*s*(s - 1)*(s + 1)**2
Let z be (-93)/(-92)*20/60. Let b = -2/23 + z. Solve 0 + b*d**2 + 0*d = 0 for d.
0
Let l(x) be the first derivative of 1/10*x**4 - 1/5*x**2 + 0*x**3 - 1/5*x + 1/25*x**5 + 7. Suppose l(t) = 0. What is t?
-1, 1
What is b in 8/5*b**4 - 4/5*b**3 + 0 - 2/5*b**5 - 8/5*b**2 + 6/5*b = 0?
-1, 0, 1, 3
Factor 0 + 0*h**2 - 2/7*h + 2/7*h**3.
2*h*(h - 1)*(h + 1)/7
Let w(z) be the third derivative of -z**8/224 + z**6/40 - z**4/16 - 4*z**2. Determine t, given that w(t) = 0.
-1, 0, 1
Suppose 19 - 37 = -9*g. Factor 1/2 + 1/4*y**g - 3/4*y.
(y - 2)*(y - 1)/4
Factor -6*p**4 - 7*p**3 + 10*p**2 + 4*p**4 + 16*p**3 - 12*p - 5*p**3.
-2*p*(p - 3)*(p - 1)*(p + 2)
Let a be (2/6*0)/(-10 - -11). Find f such that 0*f**2 - 9/5*f**3 + a + 3/5*f**4 + 12/5*f = 0.
-1, 0, 2
Let z(k) be the first derivative of k**5/60 + k**4/36 - k - 4. Let t(i) be the first derivative of z(i). Suppose t(b) = 0. What is b?
-1, 0
Let -132 - 2*s**2 + 4*s**4 + 132 + 2*s**3 = 0. Calculate s.
-1, 0, 1/2
Let 2/9*c + 0 - 2/9*c**2 = 0. Calculate c.
0, 1
Suppose -2*k + 8 = 2*k. Suppose m = k*m - 3. Let j(n) = -5*n**2 + 4*n - 2. Let x(p) = 6*p**2 - 4*p + 2. Let u(f) = m*x(f) + 4*j(f). Find h, given that u(h) = 0.
1
Suppose 2*i = -4*z, -4*i - 5*z = -i - 3. Let k(f) = 8*f**2 + 6*f - 8. Let d(o) = -7*o**2 - 5*o + 7. Let y(q) = i*d(q) + 5*k(q). Factor y(g).
-2*(g - 1)*(g + 1)
Let x = -16 + 25. Let g(t) = t**2 - 10*t + 9. Let p be g(x). Factor p*j + 2/5*j**2 + 0 - 2/5*j**3.
-2*j**2*(j - 1)/5
Let d(v) be the third derivative of 0*v + 0 - 1/150*v**5 + 2/15*v**3 - 1/60*v**4 - 6*v**2. Determine m, given that d(m) = 0.
-2, 1
Let s(f) be the first derivative of -1/3*f**3 - f**2 + 3*f - 3. Factor s(k).
-(k - 1)*(k + 3)
Let -14*d**4 + 3 + 9*d - 6*d**3 + 7*d**4 - 2*d**4 + 6*d**2 - 3*d**5 = 0. Calculate d.
-1, 1
Suppose -2*b = -5*b. Let c(s) be the first derivative of -1 + 0*s**3 + b*s + 0*s**2 - 6/5*s**5 + 1/2*s**4. Suppose c(d) = 0. What is d?
0, 1/3
Let x(k) = -k**2 - k + 1. Let a(i) = 4*i**2 + 13*i + 11. Let u(h) = -a(h) - x(h). Let u(z) = 0. What is z?
-2
Let h(x) be the third derivative of -x**8/168 - x**7/105 + x**6/10 + 7*x**5/15 + 11*x**4/12 + x**3 + 11*x**2. Factor h(k).
-2*(k - 3)*(k + 1)**4
Let n(l) be the third derivative of -l**6/540 - l**5/270 + l**4/27 + 4*l**3/27 + 4*l**2. Factor n(y).
-2*(y - 2)*(y + 1)*(y + 2)/9
Let c(k) = -2*k - 4. Let f be c(-2). Factor y - y**3 - y**2 + 0*y + y**4 + f*y**2.
y*(y - 1)**2*(y + 1)
Let u(t) = t + 7. Let n be u(-5). Factor -2 + 3 - 3*b**2 + 2*b**n.
-(b - 1)*(b + 1)
Let j be 1 + 4*1/4. Solve 2*w**4 - w**5 + 5*w**5 - j*w**5 = 0.
-1, 0
Let v be 3/(3 + 0)*(5 - 3). Factor 2/3*n**2 + 0 + 0*n - 2/3*n**5 - v*n**3 + 2*n**4.
-2*n**2*(n - 1)**3/3
Determine s so that -1 - 3*s**2 - s**3 + 2*s**3 - 1 + 3*s + 1 = 0.
1
Suppose -4 = -z - z. Find s, given that 4*s**2 - 5*s**z - 2*s - s**2 = 0.
-1, 0
Let d(a) be the second derivative of a - 1/5*a**3 + 0 - 1/50*a**5 + 1/10*a**4 + 1/5*a**2. Factor d(p).
-2*(p - 1)**3/5
Let c(q) be the first derivative of 2/5*q**5 + 5 + 2*q**3 + q**2 + 0*q + 3/2*q**4. Factor c(a).
2*a*(a + 1)**3
Let x(v) = 2*v**2. Let g(d) = d**3 - 2*d**2 + d - 1. Let c be g(2). Let w be x(c). Solve -1/2*h - 3/2*h**w - 3/2*h**3 + 0 - 1/2*h**4 = 0.
-1, 0
Let d(n) be the second derivative of 0*n**4 + 0 - 5*n + 1/90*n**5 + 0*n**2 - 1/27*n**3. Factor d(s).
2*s*(s - 1)*(s + 1)/9
Let u(d) = d**2 + 5. Let l be u(0). Factor -2*m**4 + 5*m + 2*m**3 + 2*m**4 - 6*m - m**l.
-m*(m - 1)**2*(m + 1)**2
Let h = 2/217 + 211/651. Factor 0*o + 0 - 2/3*o**2 + h*o**5 - 1/3*o**3 + 2/3*o**4.
o**2*(o - 1)*(o + 1)*(o + 2)/3
Let a(k) = 3*k**3 - 3*k**2 + k - 1. Let o(c) = 2*c**3 - 2*c**2 + c - 1. Suppose 2*f = -f + 9. Let u(b) = f*a(b) - 4*o(b). Find d such that u(d) = 0.
-1, 1
Let z(j) be the second derivative of j**5/30 - j**4/9 - j**3/9 + 2*j**2/3 + 6*j. Factor z(l).
2*(l - 2)*(l - 1)*(l + 1)/3
Let h(o) be the second derivative of -o**4/4 + 3*o**2/2 + 13*o. Find f, given that h(f) = 0.
-1, 1
Factor 8/9*f + 4/3*f**2 - 32/9.
4*(f + 2)*(3*f - 4)/9
Let 6/11 + 2/11*s**2 + 8/11*s = 0. Calculate s.
-3, -1
Let o(b) be the first derivative of b**5/30 + b**4/18 - 2*b**3/9 - 6*b + 6. Let t(y) be the first derivative of o(y). Factor t(v).
2*v*(v - 1)*(v + 2)/3
Let r be 115/20 + 2/8. Let s be 2/(-2) + (r - 2). Factor s*i - i**4 - 4*i + 10*i**2 - 13*i**2 - 3*i**3.
-i*(i + 1)**3
Let 32/9*d**3 - 22/9*d**2 + 4/9*d + 0 - 14/9*d**4 = 0. What is d?
0, 2/7, 1
Factor 0*f - 2*f - 2*f**3 - 14*f**2 - 2*f + 8*f**2.
-2*f*(f + 1)*(f + 2)
Let o(s) be the first derivative of -3/2*s**2 - 3*s + 3/4*s**4 + 5 + s**3. Factor o(p).
3*(p - 1)*(p + 1)**2
Let o be 3 + (18 + -19)/(2/6). Let t(c) be the second derivative of 1/18*c**3 - 3*c + o*c**4 + 0 - 1/60*c**5 + 0*c**2. What is y in t(y) = 0?
-1, 0, 1
Let n(i) be the second derivative of i**6/15 + 2*i**5/5 + i**4 + 4*i**3/3 + i**2 - 65*i. Factor n(k).
2*(k + 1)**4
Suppose -11 = -4*j + 13. Suppose 0*l**2 - j*l - l**2 + 3*l**2 - l**2 + 9 = 0. Calculate l.
3
Let y = -387 + 1941/5. Determine p so that 2/5*p**2 + 0 - y*p = 0.
0, 3
Let o(f) be the first derivative of 1/12*f**3 + 0*f - 1/16*f**4 + 1/24*f**6 - 3 + 0*f**2 - 1/20*f**5. Factor o(y).
y**2*(y - 1)**2*(y + 1)/4
What is h in 7*h**2 + 42 - 26 + 21*h - 3*h**2 - 5*h = 0?
-2
Let u = -42031/53 + 793. Let z = u - -112/159. Suppose -z*s + 0 + s**2 = 0. Calculate s.
0, 2/3
Let f(v) be the first derivative of v**5/20 - v**4/16 - v**3/6 - 29. Factor f(a).
a**2*(a - 2)*(a + 1)/4
Solve -6 - 3/2*m**2 + 15/2*m = 0.
1, 4
Solve -1/2*j**2 - 5 - 11/2*j = 0 for j.
-10, -1
Let w(s) be the third derivative of -s**7/165 + 3*s**6/220 - s**5/165 + 4*s**2. Solve w(y) = 0.
0, 2/7, 1
Let n(q) be the first derivative of -5 + 0*q - 2/5*q**5 - 2/9*q**3 + 0*q**2 - 1/2*q**4 - 1/9*q**6. Determine m, given that n(m) = 0.
-1, 0
Let w(j) = j**3 + 1. Let p(g) = 3*g**4 + 12*g**3 - 6*g + 3. Let d(h) = -p(h) + 6*w(h). Factor d(x).
-3*(x - 1)*(x + 1)**3
Let j(t) be the first derivative of 2*t**3/15 - t**2 - 11. What is w in j(w) = 0?
0, 5
Let t = -24 - -26. Let w be 2*(-2)/(-4) + 1. Solve t*s**2 + 2*s - 3*s**2 + 2*s - s**w = 0 for s.
0, 2
Let b(o) = -2*o - 10. Let r be b(-7). Let u(d) be the third derivative of 1/3*d**3 + 0 + 0*d - 1/6*d**r + 1/30*d**5 - d**2. Factor u(s).
2*(s - 1)**2
Suppose -l + 2*k - 15 = -18, -l + 3 = -4*k. Suppose 9/2*q**5 - 6*q**3 + 3/2*q + l*q**2 + 0 - 3*q**4 = 0. What is q?
-1, -1/3, 0, 1
Suppose -t - 20 = -5*r - 3*t, 4*r + t - 16 = 0. Let c(j) be the first derivative of -1/5*j**5 - 1/2*j**2 + 0*j - r + 1/4*j**4 + 1/3*j**3. Factor c(k).
-k*(k - 1)**2*(k + 1)
Let j(l) be the second derivative of -l**4/12 - 5*l**3 - 225*l**2/2 + 6*l. Factor j(d).
-(d + 15)**2
Let d(w) be the first derivative of 5*w**3/3 - 25*w**2/2 + 5. Factor d(h).
5*h*(h - 5)
Let h(o) be the first derivative of -o**6/16 - 3*o**5/40 + 3*o**4/32 + o**3/8 + 7. Let h(x) = 0. Calculate x.
-1, 0, 1
Suppose -27*t + 87 = 33. Suppose 0 + 2*c + 2/3*c**t = 0. What is c?
-3, 0
Suppose -3/7*p**5 + 0*p**2 - 6/7*p**4 - 3/7*p**3 + 0 + 0*p = 0. Calculate p.
-1, 0
Suppose 9 = 4*g - v - 0*v, -4*v = -5*g + 25. Factor 2*i**2 - g - i - i**2 - 1.
(i - 2)*(i + 1)
Let p(i) be the third derivative of -i**5/60 + i**4/6 + i**3/3 - 2*i**2. Let d(r) = -4*r**2 + 12*r + 5. Let h(q) = 4*d(q) - 14*p(q). Factor h(y).
-2*(y + 2)**2
Let x(m) be the second derivative of -m**6/45 + m**5/5 - 13*m**4/18 + 4*m**3/3 - 4*m**2/3 + 3*m. Factor x(s).
-2*(s - 2)**2*(s - 1)**2/3
Factor 0*l + 0 - 1/4*l**3 - 1/4*l**5 + 1/2*l**4 + 0*l**2.
-l**3*(l - 1)**2/4
Let r(z) be the first derivative of -z**5/5 - z + 1. Let f(s) = -8*s**4 + 2*s**3 - 10. Let y(q) = f(q) - 10*r(q). Find m such that y(m) = 0.
-1, 0
Let u(z) be the second derivative of 0 - 1/12*z**4 + 0*z**2 + 0*z**3 + 2*z. What is a in u(a) = 0?
0
Let v(q) = -q - 9. Let j be v(-11). Find g such that -1/4*g**j - 1/2*g + 0 = 0.
-2, 0
Let f(z) = 6*z**4 - 21*z**3 + 21*z + 5. Let t(s) = s**4 - 4*s**3 + 4*s + 1. Let h(r) = -2*f(r) + 11*t(r). Factor h(v).
-(v - 1)*(v + 1)**3
Let q(p) be the third derivative of -8*p**7/315 - p**6/10 - 2*