erivative of s**5/110 - s**4/33 - s**3/33 + 2*s**2/11 + 2*s - 1. Let t(v) be the first derivative of u(v). Let t(l) = 0. What is l?
-1, 1, 2
Let o(d) = -2*d**2 + 7*d - 23. Let a(q) = -q**2 + 4*q - 11. Let n(p) = 10*a(p) - 4*o(p). Determine l, given that n(l) = 0.
3
Let v = 104/5 - 193/10. Suppose v*t**2 - 3/2 + 0*t = 0. Calculate t.
-1, 1
Find r, given that -41*r + 8*r**2 + 15*r + 10*r + 12*r - 4*r**3 = 0.
0, 1
Let u(d) = 6*d**4 + 2*d**3 - 26*d**2 - 42*d - 16. Let z(j) = -13*j**4 - 5*j**3 + 51*j**2 + 83*j + 31. Let n(t) = 9*u(t) + 4*z(t). Suppose n(a) = 0. Calculate a.
-2, -1, 5
Let r(v) be the third derivative of v**7/1890 - v**6/360 + v**5/270 + 35*v**2. Find d such that r(d) = 0.
0, 1, 2
Let g = 269/10 - 132/5. Solve g*c + 0 - 1/4*c**2 = 0.
0, 2
Let n(b) be the third derivative of 1/6*b**3 + 1/84*b**4 + 1/420*b**5 - b**2 + 0*b + 0 - 1/630*b**6. Let y(t) be the first derivative of n(t). Factor y(k).
-2*(k - 1)*(2*k + 1)/7
Let q(d) be the third derivative of d**8/1680 - d**7/175 + 7*d**6/300 - 4*d**5/75 + 3*d**4/40 - d**3/15 - 23*d**2. Solve q(r) = 0.
1, 2
Let z be (-6)/(-21) + 12/105. Suppose -4 = -0*f - 2*f. Suppose 0*i - z*i**f + 2/5 = 0. What is i?
-1, 1
Let i be 2 + ((-3)/9)/((-2)/(-12)). Determine j, given that 2/3*j + 2*j**3 + 2/3*j**4 + i + 2*j**2 = 0.
-1, 0
Let x = 0 - -4. Find t such that t - 6*t - x*t**3 - 8*t**2 + 5*t = 0.
-2, 0
Let u = -70 - -72. Let v(l) be the first derivative of 2/5*l**u + 2/5*l + 2/15*l**3 - 3. Factor v(p).
2*(p + 1)**2/5
Let b be (-4)/7*56/(-16). Let j(x) be the first derivative of -1 - 1/2*x - 1/3*x**3 + 3/4*x**b. Let j(s) = 0. Calculate s.
1/2, 1
Let u(r) be the third derivative of r**10/50400 - r**8/2240 - r**7/840 + r**5/60 + 5*r**2. Let d(w) be the third derivative of u(w). Let d(n) = 0. Calculate n.
-1, 0, 2
Let l = -88 + 442/5. Determine y, given that l*y**2 + 0 + 0*y = 0.
0
Let q(o) be the second derivative of -o**6/280 + o**5/70 - o**4/56 + 3*o**2 - 5*o. Let l(z) be the first derivative of q(z). Factor l(y).
-3*y*(y - 1)**2/7
Let r(o) be the second derivative of 0 - 4/3*o**3 + 1/15*o**6 + 4*o**2 - 1/2*o**4 + 1/5*o**5 + 5*o. Let r(p) = 0. What is p?
-2, 1
Let i = 4 - -23. Let m = i - 7. Factor 10*w**4 + 9*w - 7*w + 2 + 2*w**5 + 8*w + 20*w**3 + m*w**2.
2*(w + 1)**5
Let a(t) be the first derivative of -t**6/3 + 8*t**5/5 - 5*t**4/2 + 4*t**3/3 + 35. Solve a(x) = 0.
0, 1, 2
Let p(y) be the third derivative of -16/315*y**7 - 2/9*y**6 + 0 - 1/9*y**3 - 5/18*y**4 - 11/30*y**5 + 2*y**2 + 0*y. Determine b, given that p(b) = 0.
-1, -1/4
Let o(t) be the first derivative of -14/3*t**3 - 2/5*t**5 - 2*t - 10 - 9/4*t**4 - 9/2*t**2. Factor o(j).
-(j + 1)**2*(j + 2)*(2*j + 1)
Let y(u) be the third derivative of u**7/42 - u**6/12 - u**5/3 + 5*u**4/12 + 5*u**3/2 - 18*u**2. Factor y(o).
5*(o - 3)*(o - 1)*(o + 1)**2
Let d = -10 - -16. Let s(i) be the first derivative of 0*i**4 + i**2 + 1 + 4/5*i**5 - 4/3*i**3 + 0*i - 1/3*i**d. Find x, given that s(x) = 0.
-1, 0, 1
Let a(r) be the second derivative of r**7/315 - r**5/50 + r**4/45 - 2*r - 6. Factor a(m).
2*m**2*(m - 1)**2*(m + 2)/15
Factor -80/11*d - 2/11*d**2 - 800/11.
-2*(d + 20)**2/11
Let j(f) be the third derivative of 0*f**3 + 1/60*f**5 + 0*f + 3*f**2 - 1/60*f**6 + 1/210*f**7 + 0*f**4 + 0. Solve j(g) = 0 for g.
0, 1
Let h(y) be the first derivative of y**4/18 + y**3/9 + 2*y - 4. Let s(n) be the first derivative of h(n). Factor s(u).
2*u*(u + 1)/3
Let b(r) be the second derivative of -r**6/30 + 3*r**5/10 - 13*r**4/12 + 2*r**3 - 2*r**2 + 8*r. Suppose b(q) = 0. What is q?
1, 2
Let o(n) = -31*n**4 + 15*n**3 + 14*n**2 - 15*n - 5. Let f(g) = 6*g**4 - 3*g**3 - 3*g**2 + 3*g + 1. Let a(w) = -11*f(w) - 2*o(w). Factor a(m).
-(m - 1)**2*(m + 1)*(4*m + 1)
Let z(q) be the second derivative of -q**9/5040 - q**8/1120 - q**7/840 + 5*q**4/12 - 4*q. Let d(s) be the third derivative of z(s). Let d(n) = 0. Calculate n.
-1, 0
Let t = -10 + 10. Suppose 0 = -8*q + 4*q. Let q + t*h - 2/5*h**2 = 0. What is h?
0
Let n(b) be the first derivative of -3*b**4/28 - 3*b**3/7 + 3*b**2/14 + 9*b/7 + 5. Let n(h) = 0. Calculate h.
-3, -1, 1
Let f be 4 - 0 - (-51)/2. Let l = f + -29. Factor 0 - l*m + 0*m**4 + m**3 + 0*m**2 - 1/2*m**5.
-m*(m - 1)**2*(m + 1)**2/2
Let q(a) be the third derivative of a**8/336 - a**7/70 + a**6/120 + a**5/20 - a**4/12 - 4*a**2. Suppose q(h) = 0. What is h?
-1, 0, 1, 2
Let z(w) = w**2 + 3*w + 5. Let j be z(-2). Let p(x) be the first derivative of 1/6*x**j + 0*x**2 + 3 + 0*x. Determine q so that p(q) = 0.
0
Let n(j) = -j**3 - 3*j**2 + 17*j - 6. Let t be n(-6). Let x(s) be the first derivative of 1/3*s**2 + t*s + 1/15*s**5 - 1/3*s**3 - 1 + 0*s**4. Factor x(k).
k*(k - 1)**2*(k + 2)/3
Let m = -15 - -17. Let i(z) = z**2 - 2*z + 3. Let o be i(m). Solve 0 + 0*d + 0*d**2 - 2/5*d**o = 0.
0
Let l(r) be the second derivative of -1/48*r**4 + 0 + 1/24*r**3 - 2*r + 0*r**2. Determine v, given that l(v) = 0.
0, 1
Solve 61*u**3 + u**4 + u + 3*u**2 + 66*u**3 - 124*u**3 = 0.
-1, 0
Let c(f) be the third derivative of 0 + 0*f**4 + 1/168*f**8 - 4*f**2 - 1/90*f**6 + 0*f + 0*f**3 + 0*f**5 - 1/315*f**7. Factor c(n).
2*n**3*(n - 1)*(3*n + 2)/3
Factor 24*o**2 + 16*o**2 - 20*o**3 + 0 + 5*o**5 + 0 - 10*o**4.
5*o**2*(o - 2)**2*(o + 2)
Let j be ((-7)/63)/(-1*(-2)/(-6)). Factor 0*y + 0 + 1/3*y**2 + j*y**3.
y**2*(y + 1)/3
Let o(w) be the first derivative of 3*w**4/4 + 7*w**3 + 33*w**2/2 + 15*w + 36. Factor o(v).
3*(v + 1)**2*(v + 5)
Determine g so that 0*g**3 + 0*g + 2/11*g**5 + 0*g**2 + 2/11*g**4 + 0 = 0.
-1, 0
Let c = -1/25235 - -3821/5450760. Let h(r) be the third derivative of 0*r**3 + 0*r - 2/945*r**7 - c*r**8 - 1/540*r**6 + 0 + r**2 + 0*r**5 + 0*r**4. Factor h(q).
-2*q**3*(q + 1)**2/9
Let r be (0/(-1) - -1) + -2. Let y = 3 + r. Determine t, given that -2/3*t**y - 2/3*t**3 + 0 + 0*t = 0.
-1, 0
Let i = 86 - 169/2. Factor -3/2*c**3 + 3*c + 0 - i*c**2.
-3*c*(c - 1)*(c + 2)/2
Find q, given that 25 - 10*q + 7*q**2 + 7*q**2 + 10*q**2 - 23*q**2 = 0.
5
Let y(c) = -9*c**4 - c**3 + 6*c**2 - 4*c. Let k(t) = -t**4 + t**3 - t**2 - t. Let p(s) = 4*k(s) - y(s). Solve p(u) = 0.
-2, 0, 1
Let z = -249 - -749/3. Let 2*p + z*p**2 + 0 = 0. What is p?
-3, 0
Factor 2*c**3 + 14/5*c - 18/5*c**2 - 4/5 - 2/5*c**4.
-2*(c - 2)*(c - 1)**3/5
Let h(s) be the third derivative of s**9/30240 - s**8/13440 - s**7/5040 + s**6/1440 - s**4/8 - 5*s**2. Let w(q) be the second derivative of h(q). Factor w(l).
l*(l - 1)**2*(l + 1)/2
Let r(p) be the third derivative of 1/2*p**3 + p**2 + 0 - 3/40*p**5 - 5/16*p**4 + 0*p. Determine d so that r(d) = 0.
-2, 1/3
Let x(a) be the second derivative of a**7/14 + a**6/5 + 3*a**5/20 + 5*a. Factor x(r).
3*r**3*(r + 1)**2
Let t(m) be the first derivative of 512/5*m**5 + 112/3*m**3 - 88*m**4 + 1 - 17/2*m**2 + m - 128/3*m**6. Factor t(c).
-(c - 1)*(4*c - 1)**4
Let h(v) = -3*v**4 + 7*v**3 - 17*v**2 + 19*v - 12. Let f(z) = -z**4 + z**3 - 1. Suppose 2*l - 32 = -2*w - 14, -3 = -w. Let x(t) = l*f(t) - h(t). Factor x(b).
-(b - 1)**2*(b + 3)*(3*b - 2)
Suppose -3*j - 4 = -2*p + 4*p, -j + 7 = -p. Factor 1/3*v - v**j + 2/3.
-(v - 1)*(3*v + 2)/3
Let l(t) be the first derivative of -2*t**3/9 + 8*t**2/3 - 32*t/3 + 10. What is o in l(o) = 0?
4
Let k(i) be the third derivative of -i**5/60 - 2*i**4/3 - 13*i**3/6 - 15*i**2. Let m be k(-15). Find l, given that 2/11*l**3 + 8/11*l + 0 + 8/11*l**m = 0.
-2, 0
Let x(d) be the first derivative of d**6/600 + d**5/100 + d**4/40 + d**3/30 - 3*d**2/2 + 4. Let g(f) be the second derivative of x(f). Factor g(l).
(l + 1)**3/5
Factor 0*q**2 - 2/7*q + 0 + 2/7*q**3.
2*q*(q - 1)*(q + 1)/7
Factor 7*t + 6 - 5*t**2 - 2*t - 6.
-5*t*(t - 1)
Suppose 0 - 2 = n. Let z be n/(-5) - (-54)/15. Determine a, given that -3*a**3 - 2*a**4 - a - 5*a**2 + a**z + 2*a**2 = 0.
-1, 0
Let h be ((-832)/60)/(-13) + 4/(-10). Let l(u) be the first derivative of -2 - 1/3*u**4 - 2/15*u**5 + 1/3*u**2 - h*u + 1/9*u**6 + 4/9*u**3. Factor l(f).
2*(f - 1)**3*(f + 1)**2/3
Let x(s) = s + 11. Let q be x(-6). Solve 3 + 6*v - v**3 - 19*v + 14*v**q - 4 + 25*v**4 - 1 - 23*v**2 = 0.
-1, -1/2, -2/7, 1
Suppose 2*v - 21 + 15 = 0. Factor 1/3*t**4 + 0 + t**v + t**2 + 1/3*t.
t*(t + 1)**3/3
Let q(x) be the third derivative of 2*x**7/63 - x**6/20 + 2*x**5/75 - x**4/180 - 10*x**2. Factor q(r).
2*r*(2*r - 1)*(5*r - 1)**2/15
Let t(i) be the second der