be the third derivative of -j**7/2520 + j**5/120 + j**4/6 - 2*j**2. Let l(m) be the second derivative of i(m). Find p, given that l(p) = 0.
-1, 1
Suppose 2*t - o = -5*o + 8, 4*t + 4*o - 8 = 0. Factor d**3 + 4*d**5 + d**4 - 3*d**4 - 3*d**4 + t*d**3.
d**3*(d - 1)*(4*d - 1)
Factor 3/7*w - 3/7*w**5 + 0 - 6/7*w**2 + 0*w**3 + 6/7*w**4.
-3*w*(w - 1)**3*(w + 1)/7
Let w be 366/15 - 4/10. Let u be 42/w - (-1)/4. Factor -6*v**2 - 4*v**3 - u*v**3 - 2*v**4 - 9*v + 7*v.
-2*v*(v + 1)**3
Let o(n) be the first derivative of n**5/5 - n**4/3 - 2*n**3/3 + 2*n**2 - n - 7. Let g(k) be the first derivative of o(k). Factor g(j).
4*(j - 1)**2*(j + 1)
Factor 6 - 20 + 2*n + 7 + 4 + n**2.
(n - 1)*(n + 3)
Let j = 12 + -7. Let w(r) be the first derivative of 0*r**3 + 0*r**4 - 2/5*r**j - 1/3*r**6 - 1 + 0*r**2 + 0*r. Factor w(c).
-2*c**4*(c + 1)
Factor 0*r**2 + 0 + 0*r + 1/4*r**3.
r**3/4
Let d(i) = -i**4 - 2*i**3 + 5*i**2 - 2. Let p(s) = s**4 - s**3 + s**2 - 1. Let j(t) = -d(t) + 2*p(t). Suppose j(m) = 0. Calculate m.
-1, 0, 1
Suppose p + 3*p - 8 = 0. Suppose -3*y + p = -2*m, -2*y = 2*y - 3*m - 3. Suppose -3/4*t**3 - 1/2*t**2 - 1/4*t**4 + 0*t + y = 0. What is t?
-2, -1, 0
Let g(i) be the second derivative of i**4/6 - 5*i**3/3 + 6*i**2 + 5*i. Factor g(m).
2*(m - 3)*(m - 2)
Let p(j) be the first derivative of 3*j**4/8 + 3*j**3 + 27*j**2/4 + 6*j - 15. Solve p(k) = 0.
-4, -1
Let h(o) be the third derivative of o**8/7840 - o**7/1470 + o**6/630 - o**5/60 - 3*o**2. Let q(t) be the third derivative of h(t). Solve q(v) = 0 for v.
2/3
Let n = -64/45 - -14/9. Let m(g) be the first derivative of -n*g**3 + 0*g + 1/5*g**2 - 2. Factor m(c).
-2*c*(c - 1)/5
Let q(j) be the second derivative of j**9/1512 + j**8/840 - j**7/420 - j**6/180 - j**3/2 - 4*j. Let l(w) be the second derivative of q(w). Factor l(y).
2*y**2*(y - 1)*(y + 1)**2
Suppose -u + 0 - 18 = 5*d, u + 12 = -3*d. Let q(m) = -2*m - 4. Let i be q(d). Determine l so that 0*l**i - 4*l**2 + l + 3*l**2 = 0.
0, 1
Let p(u) be the first derivative of 3 - 1/18*u**6 - 1/6*u**5 - 1/18*u**3 + 0*u**2 - 1/6*u**4 + 0*u. Factor p(r).
-r**2*(r + 1)**2*(2*r + 1)/6
Let t(c) be the first derivative of -5/3*c**3 + c**2 + 5/3*c**4 - 1/21*c**7 - c**5 - c + 3 + 1/3*c**6. Let h(a) be the first derivative of t(a). Factor h(n).
-2*(n - 1)**5
Let -4/3*k**2 + 0 - 2*k**3 + 0*k + 10/3*k**4 = 0. Calculate k.
-2/5, 0, 1
Determine s, given that 1/2*s**5 + 0 + 9/2*s**3 + 7/2*s**2 + 5/2*s**4 + s = 0.
-2, -1, 0
Factor 0*t + 2/11*t**2 - 2/11*t**5 + 0 + 6/11*t**4 - 6/11*t**3.
-2*t**2*(t - 1)**3/11
Factor 2/9*p**2 + 2/9*p**3 + 0*p + 0.
2*p**2*(p + 1)/9
Find n, given that 8 + 2 + 21*n**3 + 20*n**2 - 25*n - 26*n**3 = 0.
1, 2
Let u(l) be the first derivative of 2*l**3/3 - 3*l**2 + 4*l - 13. Factor u(p).
2*(p - 2)*(p - 1)
Let n(q) = -q**2 - q + 1. Let h(o) = -o**4 - 4*o**3 + o**2 - o. Let c(z) = -h(z) + 5*n(z). Find w, given that c(w) = 0.
-5, -1, 1
Let t(w) = 6*w**3 - 6*w + 6. Let o(q) = 13*q**3 + q**2 - 13*q + 13. Let v(l) = 3*o(l) - 7*t(l). Solve v(a) = 0 for a.
-1, 1
Let u(l) be the second derivative of -6*l + 1/6*l**4 - 2/3*l**3 + 0 + 0*l**2. Factor u(z).
2*z*(z - 2)
Let s(o) be the third derivative of 1/630*o**7 - 1/180*o**5 + 0 - 2*o**2 + 0*o + 1/360*o**6 + 0*o**4 - 1/1008*o**8 + 0*o**3. Find a, given that s(a) = 0.
-1, 0, 1
Let r = 529 - 527. Factor 0 - 4/9*c - 2/9*c**r.
-2*c*(c + 2)/9
Let w(j) = -56*j**3 + 28*j**2 + 12*j - 8. Let q(s) = -37*s**3 + 19*s**2 + 8*s - 5. Let p(n) = 8*q(n) - 5*w(n). Factor p(b).
-4*b*(b - 1)*(4*b + 1)
Let h(n) be the second derivative of 0*n**2 - 2*n + 0*n**3 - 1/120*n**6 + 0*n**5 + 0*n**4 + 0. Factor h(v).
-v**4/4
Let t(w) = -w. Let m(s) = 2*s**4 - 4*s**3 - 6*s**2 - 3*s. Let c(f) = f**2 - 13*f - 15. Let g be c(14). Let a(j) = g*m(j) + 3*t(j). Factor a(q).
-2*q**2*(q - 3)*(q + 1)
Let v be -4 + (-60)/(-16) - (-2)/8. Let n(p) be the first derivative of 0*p - 3 - 1/18*p**4 + v*p**2 + 2/27*p**3. Factor n(s).
-2*s**2*(s - 1)/9
Let l(z) be the first derivative of -z**6/21 - 4*z**5/35 + 5. Solve l(k) = 0 for k.
-2, 0
Let m(k) = -4*k - 10. Let y be m(-6). Factor -22*r**2 - y*r**4 + 4*r - 4 + 32*r**3 + 4.
-2*r*(r - 1)**2*(7*r - 2)
Let j be (-7)/(-3) + (-3)/9. Factor p**2 - 3*p**2 - 2*p + p**j - 1.
-(p + 1)**2
Let d(h) be the first derivative of -3*h**6/10 - 11*h**5/25 - h**4/10 - 43. Determine g so that d(g) = 0.
-1, -2/9, 0
Let u be ((-44)/(-77))/(0 - 18/(-21)). Let i(g) = g**3 + 2*g**2 - 2*g + 1. Let z be i(1). Factor 2/9*q**5 + 2/3*q**4 - u*q - 4/9*q**z + 4/9*q**3 - 2/9.
2*(q - 1)*(q + 1)**4/9
Let q(t) be the third derivative of -t**5/60 - 5*t**4/24 - 2*t**3/3 - 23*t**2. Factor q(w).
-(w + 1)*(w + 4)
Let d(f) = f**3 + f - 1. Let v(z) = -6*z**3 - 7*z**2 + 8*z - 2. Let m(p) = -14*d(p) - 2*v(p). Factor m(n).
-2*(n - 3)**2*(n - 1)
Suppose 7 = 3*q - 2. Determine j so that 14*j**4 - 17*j - 10*j**2 - 3 + 18*j**q - j - 1 = 0.
-1, -2/7, 1
Let s = -7 + 12. Factor 7*v**2 - s*v**2 - 6*v**2 + 4 - 14*v + 14*v**3.
2*(v - 1)*(v + 1)*(7*v - 2)
Let t(a) be the third derivative of a**9/120960 - a**8/40320 - a**5/30 - 3*a**2. Let c(l) be the third derivative of t(l). Let c(v) = 0. What is v?
0, 1
Let b(q) be the third derivative of q**8/560 - q**7/140 + q**6/120 - q**3/3 - 3*q**2. Let t(w) be the first derivative of b(w). Factor t(m).
3*m**2*(m - 1)**2
Let u(r) be the second derivative of -r**6/35 - r**5/35 + r**4/14 + 2*r**3/21 - 7*r. Let u(g) = 0. What is g?
-1, -2/3, 0, 1
Let x(i) be the first derivative of -i**5/15 - i**4/12 + i**3/9 + i**2/6 + 5. Find p such that x(p) = 0.
-1, 0, 1
Suppose 4*d - 15 = -d. Solve 0*p**3 + 7*p**3 - 6*p - 10*p**d + 9*p**2 = 0.
0, 1, 2
Suppose -2*c - 3*t + 11 = -7, 5*c + 2*t = 34. Find w, given that -c*w + 1 + 3 + w**2 + w**2 = 0.
1, 2
Determine o so that 0 + 0*o - 1/4*o**2 + 1/4*o**3 = 0.
0, 1
Let m(x) = -x**3 - x**2 + x. Let b be m(0). Let s(v) be the third derivative of 0 + 2*v**2 + b*v - 2/27*v**3 - 1/54*v**5 + 7/108*v**4. Factor s(p).
-2*(p - 1)*(5*p - 2)/9
Let w(o) = -o + 13. Let t be w(9). Factor -15*i + 2*i**t - 2*i**2 + 15*i + 2*i**3 - 2*i**5.
-2*i**2*(i - 1)**2*(i + 1)
Let b(v) = -v**2 + 8. Let j be b(0). Let k be j/(-45) + (-20)/(-50). Suppose k*p**3 - 2/9*p**4 + 0*p + 0 - 2/9*p**5 + 2/9*p**2 = 0. What is p?
-1, 0, 1
Let 2/9 + 2/3*b + 2/9*b**3 + 2/3*b**2 = 0. What is b?
-1
Let v(a) be the third derivative of -a**5/270 + a**4/18 + 7*a**3/27 + 28*a**2. Find f, given that v(f) = 0.
-1, 7
Let u(p) be the third derivative of -p**8/2520 + p**6/450 - p**4/180 - p**2 + 4*p. Factor u(i).
-2*i*(i - 1)**2*(i + 1)**2/15
Let h = -4 + 6. Suppose 0 = n + h*n - 6. Solve -n*d + 24*d**2 - 18*d**2 + 5*d + 3*d**3 = 0.
-1, 0
Suppose -30*q + 32*q - 8 = 0. Let y(t) be the second derivative of 1/4*t**2 - 1/8*t**3 + 4*t + 1/48*t**q + 0. Factor y(v).
(v - 2)*(v - 1)/4
Solve -7/6*q**2 + 11/6*q - 5/6 + 1/6*q**3 = 0.
1, 5
Let h be (-2)/(-5) + 128/(-20). Let b be (-3)/h - (-123)/6. Find v such that -14*v**3 + b*v**2 + 2 + 6*v**4 - 2*v - 5*v**2 - v**5 - 7*v = 0.
1, 2
Factor -3/4*u + 0*u**2 + u**3 + 1/4.
(u + 1)*(2*u - 1)**2/4
Factor 2*r**2 + 3*r - 2*r**4 + 3*r - 5*r - r**5 + 0*r**5.
-r*(r - 1)*(r + 1)**3
Factor -7*o - 9 + 19*o**3 + 5 - o**3 + 21*o**2.
(2*o - 1)*(3*o + 1)*(3*o + 4)
Let c(k) = 14*k**5 + 12*k**4 + 23*k**3 + 11*k**2 - 11*k + 11. Let z(l) = 5*l**5 + 4*l**4 + 8*l**3 + 4*l**2 - 4*l + 4. Let h(p) = 4*c(p) - 11*z(p). Factor h(i).
i**3*(i + 2)**2
Suppose -8 = -d + 2*d. Let f be (d/10)/((-88)/140). Determine g, given that -4/11*g - f*g**3 + 18/11*g**2 + 0 = 0.
0, 2/7, 1
Let f(o) be the third derivative of -o**4/24 - o**3/3 + 3*o**2. Let l be f(-8). Factor z**3 + 3*z**3 + 2*z**4 - l*z**3 + 4*z**3.
2*z**3*(z + 1)
Let n(s) be the second derivative of 1/12*s**4 - 6*s - 1/2*s**3 + 0 + s**2. Let n(h) = 0. Calculate h.
1, 2
Let h be ((-2)/(-5))/2 - 6/(-20). Find g such that -1/2*g**2 - h - g = 0.
-1
Let g(m) = -m**3 + m**2 - m. Let f be g(0). Let i(p) be the second derivative of -1/16*p**5 - p - 1/24*p**3 - 1/12*p**4 - 1/60*p**6 + 0*p**2 + f. Factor i(r).
-r*(r + 1)**2*(2*r + 1)/4
Factor -3/5*n**3 + 2/5 - 3/5*n - 8/5*n**2.
-(n + 1)*(n + 2)*(3*n - 1)/5
Let s(k) be the second derivative of -k**6/15 + k**5/5 + k**4/2 - 4*k**3/3 - 4*k**2 + 3*k. Suppose s(f) = 0. Calculate f.
-1, 2
Suppose -4*c - 4 + 16 = 0. Let u(r) be the first derivative of c + 0*r**