cond derivative of u**7/7560 + u**6/1080 - u**4/6 + u. Let c(h) be the third derivative of i(h). Factor c(b).
b*(b + 2)/3
Factor 0 - 1/5*z**2 - 2/5*z.
-z*(z + 2)/5
Suppose y + 3*y - 5*m + 12 = 0, -2 = -3*y + m. Factor -1/4 - o**3 - o - 3/2*o**y - 1/4*o**4.
-(o + 1)**4/4
Let f(n) be the first derivative of n**7/3360 - n**6/720 + n**5/480 + n**3/3 - 2. Let j(v) be the third derivative of f(v). Solve j(o) = 0.
0, 1
Let t = 5359/4 - 1339. Let w = 57/4 + -14. Suppose 0 + 3/4*o**3 - t*o**2 - 1/4*o**4 + w*o = 0. What is o?
0, 1
Suppose -2 = -2*h + 4. Let q(r) be the first derivative of 5/3*r**h + 7/5*r**5 + 1 + 1/3*r**6 + 9/4*r**4 + 1/2*r**2 + 0*r. Determine a, given that q(a) = 0.
-1, -1/2, 0
Suppose -3*z - z = -4, 5*z = 2*h - 3. Solve 6*l**2 - 3*l + 2*l**3 - 3*l**h - 2*l**5 - 4*l**2 + 1 + 3*l**5 = 0 for l.
-1, 1
Let b = -165 + 2476/15. Let i(d) be the third derivative of d**2 + 1/60*d**6 + 0*d**4 + 0*d**3 + 0 + 0*d + b*d**5 - 1/35*d**7. Determine x so that i(x) = 0.
-2/3, 0, 1
Let y be 3/(2100/545) + 3/(-4). Let q(a) be the second derivative of y*a**5 - 2*a - 2/21*a**3 + 0 - 1/105*a**6 + 0*a**4 + 1/7*a**2. Find b such that q(b) = 0.
-1, 1
Let i be (6/(-7))/((-4)/7). Let f = 19/10 - i. Factor 4/5*x**3 + 0 - f*x**2 - 2/5*x**4 + 0*x.
-2*x**2*(x - 1)**2/5
Let t = 8 + -7. Suppose -10 = -5*l + 4*h + t, -l + 2*h = -1. Factor -2*r**2 + 2*r**3 + 5*r**5 + r**5 + 15*r**4 + 0*r**l - 5*r**4.
2*r**2*(r + 1)**2*(3*r - 1)
Let n(q) be the third derivative of -q**6/120 - q**5/12 + 13*q**4/24 - 7*q**3/6 + 2*q**2 + 18*q. Let n(i) = 0. Calculate i.
-7, 1
Let k(t) be the second derivative of t**4/4 - 6*t**2 - 17*t. Suppose k(l) = 0. What is l?
-2, 2
Let s be (4/(-72))/((-50)/15). Let r(k) be the second derivative of 0 + s*k**6 + k + 0*k**3 + 0*k**4 + 0*k**5 + 0*k**2. Find c, given that r(c) = 0.
0
Let t(j) = 2*j**2 + 3*j. Let c be t(-3). Factor 8 - 13*p - 63 - c - 19*p - 4*p**2.
-4*(p + 4)**2
Let g(n) = 5*n**3 - 7*n**2. Let k(w) = 16*w**3 - 23*w**2. Let l(m) = -7*g(m) + 2*k(m). Factor l(s).
-3*s**2*(s - 1)
Suppose 0*n**2 - 2/3*n**5 + 0 - 2/3*n**4 + 0*n + 0*n**3 = 0. What is n?
-1, 0
Let r(x) be the second derivative of -x**6/180 - x**5/30 - x**4/12 + x**3 - 3*x. Let i(u) be the second derivative of r(u). Let i(k) = 0. Calculate k.
-1
Let j be 14/7 + -1*2. Let k(z) be the first derivative of j*z + 1 - 3/4*z**2 + 1/4*z**3. Suppose k(g) = 0. What is g?
0, 2
Let r(o) be the second derivative of o**6/420 + o**5/105 + o**4/84 + 7*o**2/2 + o. Let t(f) be the first derivative of r(f). Factor t(n).
2*n*(n + 1)**2/7
Let y be 37/5 + (-5 - 2). Let 0 + y*v + 4/5*v**2 - 4/5*v**4 - 2/5*v**5 + 0*v**3 = 0. Calculate v.
-1, 0, 1
Let b(g) = -g**5 + 2*g**4 + 4*g**3 + 2*g**2 - 5*g. Let m(j) = j**5 + j**4 - j**3 + j**2 - j. Let n(d) = b(d) - 2*m(d). Solve n(k) = 0 for k.
-1, 0, 1
Let m be (-120)/(-64) - (162/48)/9. Determine u so that -5/2*u - m*u**2 - 1 = 0.
-1, -2/3
Suppose -2*q = -6*q + 16. Suppose q*l = l + 30. Factor 10*i**3 + l*i**2 + 3*i**3 + 2*i - 5*i**3.
2*i*(i + 1)*(4*i + 1)
Let q = -5 + 11. Suppose 5*s = 2*s + q. Suppose 2/3*u**5 + 4*u**3 - 8/3*u**s + 0 - 8/3*u**4 + 2/3*u = 0. Calculate u.
0, 1
Factor -2/5 - 8/5*f**2 + 2*f.
-2*(f - 1)*(4*f - 1)/5
Let z = 143 + -139. Let s(m) be the first derivative of 0*m**2 - 1/12*m**z - 2 + 0*m + 1/9*m**3. Suppose s(g) = 0. What is g?
0, 1
Let k(o) = -6*o**2 + 5*o - 23. Let m(u) be the first derivative of u**3/3 - u**2/2 + 4*u + 3. Let d(r) = -6*k(r) - 34*m(r). Factor d(w).
2*(w + 1)**2
Let q(l) be the third derivative of l**9/30240 - l**8/5040 + l**5/60 - l**2. Let g(c) be the third derivative of q(c). Factor g(f).
2*f**2*(f - 2)
Factor 0 + 0*u**2 + 1/7*u**3 + 0*u + 4/7*u**5 + 5/7*u**4.
u**3*(u + 1)*(4*u + 1)/7
Let i(z) be the third derivative of -z**6/72 + 23*z**5/36 - 715*z**4/72 + 605*z**3/18 - 7*z**2. Factor i(t).
-5*(t - 11)**2*(t - 1)/3
Let i(n) be the second derivative of -n**4/24 - 5*n**3/12 + n - 3. Factor i(o).
-o*(o + 5)/2
Let h be ((-15)/6)/(-5)*0. Factor h*j + 0 - 2/5*j**2 + 4/5*j**3 - 2/5*j**4.
-2*j**2*(j - 1)**2/5
Suppose 3*l - 4 = -2*w, -8 = -5*l - w + 1. Suppose -m + 6 = l*m. Factor -2/7*f**m + 2/7*f + 2/7 - 2/7*f**3.
-2*(f - 1)*(f + 1)**2/7
Let k(h) be the second derivative of 3*h - 3/40*h**5 + 1/84*h**7 + 1/24*h**4 + 0*h**2 - 1/60*h**6 + 1/6*h**3 + 0. Suppose k(t) = 0. Calculate t.
-1, 0, 1, 2
Let l = -3/26 + 191/78. Factor l*p**2 + 2/3 + 3*p.
(p + 1)*(7*p + 2)/3
Let o(a) be the second derivative of -a**7/42 - 7*a**6/30 - 9*a**5/10 - 11*a**4/6 - 13*a**3/6 - 3*a**2/2 - 18*a. Factor o(i).
-(i + 1)**4*(i + 3)
Let t(q) be the first derivative of -5*q**3 + 110*q**2 + 75*q + 11. Suppose t(a) = 0. What is a?
-1/3, 15
Let o(u) = u - 1. Let w(x) = -2*x**3 - 4*x**2 - 10*x + 34. Let p(b) = 36*o(b) + 2*w(b). Factor p(l).
-4*(l - 2)*(l + 2)**2
Let l(p) = p**2 + p + 3. Let a be l(0). Factor 6*z**3 + 2*z**3 - 3*z**3 - 3*z**a - z**2.
z**2*(2*z - 1)
Let b(c) be the third derivative of -c**7/2940 + c**5/140 + c**4/42 - c**3/2 - 4*c**2. Let u(s) be the first derivative of b(s). Find p such that u(p) = 0.
-1, 2
Suppose 0 = 334*p - 328*p - 18. What is t in 0*t + 0 - 4/5*t**5 - 4/5*t**4 + 0*t**p + 0*t**2 = 0?
-1, 0
Let w(a) be the third derivative of -a**7/560 - a**6/240 + a**5/40 + a**3/3 - 2*a**2. Let s(k) be the first derivative of w(k). Find z, given that s(z) = 0.
-2, 0, 1
Let f = -2 + 0. Let o(a) be the first derivative of -a**3/3 - 3*a**2/2 + 13*a + 1. Let m(s) = s**2 + 2*s - 6. Let g(u) = f*o(u) - 5*m(u). Factor g(n).
-(n + 2)*(3*n - 2)
Let t = 1625/3 - 541. Factor 2/3*v + 0 - t*v**3 - 2/3*v**2 + 2/3*v**4.
2*v*(v - 1)**2*(v + 1)/3
Find w such that 32 + 2/9*w**2 - 16/3*w = 0.
12
Let y(v) be the first derivative of 4*v**5/5 + 8*v**4 + 28*v**3 + 36*v**2 - 17. Factor y(w).
4*w*(w + 2)*(w + 3)**2
Let m(x) be the second derivative of -x**6/90 - x**5/30 - x**4/36 + x. What is a in m(a) = 0?
-1, 0
Let n be (3/(-5))/((-1)/(-5)). Let v be ((-6)/4)/(n/4). Factor -1/2 + 1/4*x**v - 1/4*x.
(x - 2)*(x + 1)/4
Factor 12*t - 1 + 32*t**2 - t**4 + 6*t**3 - 3 - 19*t**2 - 26*t**2.
-(t - 2)**2*(t - 1)**2
Let h be (-3)/(-15) + ((-1148)/(-80))/7. Solve -1/2 - h*v**2 + 11/4*v = 0.
2/9, 1
Let d(o) = o**2 + 7*o - 3. Let g be d(-7). Let x be g/(-2) - (-23)/(-18). Find j, given that -2/9*j**2 + x + 2/9*j**3 - 2/9*j = 0.
-1, 1
Factor -16/3*w - 4/3*w**4 - 8*w**2 - 16/3*w**3 - 4/3.
-4*(w + 1)**4/3
Let x = -13 - -18. Factor -3*w**4 - 2*w**3 + 2*w**3 - w**2 - 3*w**3 - w**x.
-w**2*(w + 1)**3
Factor 2*r**2 + 31*r + r**2 - 29*r - r**4.
-r*(r - 2)*(r + 1)**2
Let o(s) be the first derivative of -2/9*s**3 + 4 + 0*s - 1/3*s**2. Solve o(w) = 0 for w.
-1, 0
Let q = 5 + -2. Determine c, given that -q*c - 62*c**3 - 16*c**2 + 2*c + 5*c + 4*c + 70*c**4 = 0.
-2/5, 0, 2/7, 1
Suppose 36 = -4*d + 4. Let o = d - -11. Suppose -3*x**o + 4*x**3 + 4*x**2 - 3*x**2 = 0. Calculate x.
-1, 0
Suppose t = l + 1, -t - 8 = -3*l - l. Solve 0 + 12*u**2 + t*u**4 - 1/2*u**5 - 11*u**3 - 9/2*u = 0.
0, 1, 3
Let r(j) be the first derivative of -j**3/3 - j**2/2 + j - 7. Let z(m) = 4*m**4 + 3*m**3 - 12*m**2 - 11*m + 11. Let s(c) = -44*r(c) + 4*z(c). Factor s(p).
4*p**2*(p + 1)*(4*p - 1)
Factor 12/5*j**2 - 8/5*j**3 - 8/5*j + 2/5*j**4 + 2/5.
2*(j - 1)**4/5
Let x(a) be the first derivative of -7*a**4/6 + 38*a**3/9 - 8*a**2/3 - 8*a/3 + 26. Factor x(o).
-2*(o - 2)*(o - 1)*(7*o + 2)/3
Let o(f) be the first derivative of 5*f**6/18 - 5*f**4/12 - 23. Determine h so that o(h) = 0.
-1, 0, 1
Let d(f) be the first derivative of 2*f**6/3 + 12*f**5/5 + f**4 - 4*f**3 - 4*f**2 + 31. Factor d(l).
4*l*(l - 1)*(l + 1)**2*(l + 2)
Let o = -26 + 157/6. Factor o*c**2 + 0 + 0*c + 1/6*c**3.
c**2*(c + 1)/6
Let l = -203 + 205. Factor -2/7*n**l - 4/7*n - 2/7.
-2*(n + 1)**2/7
Determine m, given that 0*m - 14/13*m**5 + 0 + 4/13*m**4 + 14/13*m**3 - 4/13*m**2 = 0.
-1, 0, 2/7, 1
Let q(f) be the third derivative of -f**6/40 + f**4/8 - 18*f**2. Determine r so that q(r) = 0.
-1, 0, 1
Let h(r) be the third derivative of 25*r**8/2016 + r**7/84 - 7*r**6/144 - r**5/24 + 5*r**4/72 - 11*r**2. Find m, given that h(m) = 0.
-1, 0, 2/5, 1
Let g = -18 + 20. Let n be ((-1)/(-6))/(g/8). Find b such that 0 + 0*b + 2/3*b**2 + n*b**3 = 0.
-1, 0
Let q(c) = 5*c**2 - 27*c + 22. Let r(y) = -5*y**2 + 28*y - 23. Let n(a) = -2*q(a) - 3*r(a). Factor n(z).
5*(z - 5)*(z 