derivative of -c**6/240 - c**5/40 - c**4/24 - 43*c**2. Factor y(b).
-b*(b + 1)*(b + 2)/2
Let b(l) = l - 12. Let x be b(5). Let n = -5 - x. Find o such that 9*o + o**2 - n - 8*o + 0 = 0.
-2, 1
Let n(d) be the first derivative of -d**6/150 - d**5/100 - 2*d + 2. Let j(q) be the first derivative of n(q). Factor j(z).
-z**3*(z + 1)/5
Let w(u) be the first derivative of -5*u**4/7 - 88*u**3/21 - 46*u**2/7 - 24*u/7 - 7. Let w(v) = 0. Calculate v.
-3, -1, -2/5
Let x(q) be the second derivative of 3*q + 1/6*q**4 + 0 + 4/3*q**3 + 4*q**2. Find v such that x(v) = 0.
-2
Factor 0*k - 410*k**3 + 428*k**3 + 2*k**5 + 10*k**4 - 2*k**2 + 16*k**2 + 4*k.
2*k*(k + 1)**3*(k + 2)
Let b(x) be the third derivative of -x**8/10080 - x**7/2520 + x**6/180 + x**5/30 + 4*x**2. Let i(f) be the third derivative of b(f). What is o in i(o) = 0?
-2, 1
Let v(w) be the second derivative of w**7/1680 + w**6/720 + w**3/3 - 3*w. Let u(s) be the second derivative of v(s). Factor u(z).
z**2*(z + 1)/2
Let r(f) = f**3 + 2*f**2 - 2*f + 6. Let l be r(-3). Factor 5/4*m**l - 5/4*m + 1/2*m**2 - 1/2.
(m - 1)*(m + 1)*(5*m + 2)/4
Let n(m) be the second derivative of m**5/40 + m**4/8 - m**2 + 6*m. Factor n(b).
(b - 1)*(b + 2)**2/2
Let k be (0 - (-4)/3)*(-33)/(-55). Factor 2*p + k + 2/5*p**3 + 8/5*p**2.
2*(p + 1)**2*(p + 2)/5
Let q(r) be the second derivative of -7*r**5/80 - 13*r**4/32 + 11*r**3/48 + 3*r**2/8 - r + 11. Factor q(d).
-(d + 3)*(2*d - 1)*(7*d + 2)/8
Let p(c) be the second derivative of -c**4/42 - 15*c. Determine t, given that p(t) = 0.
0
Let r(z) = -2*z**5 - 2*z**4 + 5*z**2 - z. Let j = -12 + 6. Suppose 1 = -v - 1. Let k(d) = d**5 - d**2. Let g(o) = j*k(o) + v*r(o). Factor g(q).
-2*q*(q - 1)**3*(q + 1)
Let h(w) = -2*w + 2. Let g(o) = o - 1. Let c(y) = -g(y) - h(y). Let r(i) = -2*i**3 + 12*i - 10. Let k(x) = 10*c(x) - r(x). Factor k(p).
2*p*(p - 1)*(p + 1)
Let l(n) = 4*n**2 - 4*n + 3. Let i(j) = -5*j**2 + 5*j - 4. Let r be (1 - 9/6)*8. Let b(f) = r*l(f) - 3*i(f). Factor b(o).
-o*(o - 1)
Let c(q) be the second derivative of 1/24*q**4 + 0*q**2 + 0 + 0*q**3 - 3*q - 1/16*q**5. Determine b so that c(b) = 0.
0, 2/5
Let q = -348 + 697/2. Factor q*t**2 + 0*t + 0.
t**2/2
Let i(y) be the second derivative of 0*y**3 + 0 - 1/25*y**5 + 1/75*y**6 + 0*y**2 + 1/30*y**4 + 2*y. Factor i(a).
2*a**2*(a - 1)**2/5
Let y(k) be the second derivative of -7*k**5/5 + 5*k**4/4 - k**3/3 - 7*k. Factor y(w).
-w*(4*w - 1)*(7*w - 2)
Let m = -200/3 - -202/3. Factor 4/3*z + m*z**2 + 0.
2*z*(z + 2)/3
Let y(n) = -n + 8. Let x be y(11). Let v be 2 - x*(-8)/12. Factor -1/5*s - 1/5*s**5 + 0 + 0*s**2 + v*s**4 + 2/5*s**3.
-s*(s - 1)**2*(s + 1)**2/5
Let z = 6 + -4. Suppose 2*c - 25 = 2*f + f, -2*c + 20 = -z*f. Factor -4*h**3 + 0*h - h**2 + h**4 - h + c*h**3.
h*(h - 1)*(h + 1)**2
Let f(j) = j**3 + j. Let n(o) = -12*o**3 + 3*o**2 - 13*o. Suppose 6*l = l + 110. Let d(c) = l*f(c) + 2*n(c). Find t, given that d(t) = 0.
0, 1, 2
Suppose 0 = -4*r + 3*r. Suppose r = 2*i - 3*i. Factor -17*v**2 - v + 0*v + i - 14*v**3 + 2.
-(v + 1)*(2*v + 1)*(7*v - 2)
Let k(n) be the third derivative of 0*n - 1/315*n**7 + 0*n**3 - 1/45*n**6 + n**2 - 2/45*n**5 + 0 + 0*n**4. Find a, given that k(a) = 0.
-2, 0
Let m be (-28)/(-4)*1 - 1. Suppose m*v = v. Suppose -j**2 + 1/2 + v*j + 0*j**3 + 1/2*j**4 = 0. What is j?
-1, 1
Let n be (4 - 1) + (-1 - 1 - 1). Suppose 1/3*h**3 + n + 0*h**2 - 1/3*h**4 + 0*h = 0. Calculate h.
0, 1
Let c(d) = 2*d**3 - 2*d**2 + 1. Let v be c(-1). Let n be v/(-2)*28/21. Find h, given that 1/2*h**n - 1/2*h**4 - 1/2*h**3 + 1/2*h + 0 = 0.
-1, 0, 1
Let c(k) be the third derivative of 0*k + k**2 + 1/120*k**5 + 0 + 1/12*k**3 - 1/24*k**4. Factor c(h).
(h - 1)**2/2
Factor 1/3*x + 1/3*x**2 + 0.
x*(x + 1)/3
Let g(k) = -10*k**3 + 6*k**2 - 10*k - 10. Let u(p) = -p - 4 + 4 + p**2 - 3 + 2. Let a(r) = -2*g(r) + 20*u(r). Factor a(t).
4*t**2*(5*t + 2)
What is l in -2/5*l + 2/5*l**3 - 2/5*l**2 + 2/5 = 0?
-1, 1
Suppose -5*w + 3*w + 4 = 0. Factor -2*g**3 + 3*g**w + 2*g**2 - 4*g**2 + g - g**4 + g.
-g*(g - 1)*(g + 1)*(g + 2)
Let g = 1046/5271 - 2/251. Let o(l) be the first derivative of g*l**3 - 1/14*l**4 - 1/7*l**2 + 1 + 0*l. What is u in o(u) = 0?
0, 1
Let f = -6 + 6. Let o be (-18)/90 + (-21)/(-55). Factor f*s - 2/11 + o*s**2.
2*(s - 1)*(s + 1)/11
Let s(o) be the first derivative of 1/24*o**6 + 0*o - 1/4*o**2 + 7 - 3/16*o**4 - 1/20*o**5 + 5/12*o**3. Factor s(d).
d*(d - 1)**3*(d + 2)/4
Let l be 1*(-2 - (-2 - 1)). Let g be -3*l*(-6)/9. Factor 5*r**5 + 0*r**2 - g*r**4 + 2*r**2 - r - 4*r**5.
r*(r - 1)**3*(r + 1)
Let s be (1/3)/((-20)/(-8) + -2). Let w(q) be the second derivative of -2*q**2 - 2*q + 5/3*q**3 + 0 - s*q**4 + 1/10*q**5. Factor w(i).
2*(i - 2)*(i - 1)**2
Let c(p) be the first derivative of -p**4/8 - p**3/6 + 6. Factor c(m).
-m**2*(m + 1)/2
Let z(j) = j**3 + 4*j**2 + 2*j + 4. Let a be z(-4). Let m be (-12)/63*6/a. Suppose -20/7*l**2 - 10/7*l - 2/7*l**5 - 20/7*l**3 - m - 10/7*l**4 = 0. What is l?
-1
Let r(g) be the first derivative of g**4/6 - 2*g**3/9 - g**2/3 + 2*g/3 + 3. Find f, given that r(f) = 0.
-1, 1
Let z = 251 + -251. Factor -2/3*w + 2/3*w**2 + 2/3*w**3 - 2/3*w**4 + z.
-2*w*(w - 1)**2*(w + 1)/3
Let p(o) be the second derivative of o**6/180 + o**5/120 - o**4/24 - o**3/36 + o**2/6 - 4*o. Factor p(i).
(i - 1)**2*(i + 1)*(i + 2)/6
Let x(n) be the second derivative of -n**6/120 + n**5/16 - n**4/8 - n**3/6 + n**2 + 17*n. Find s such that x(s) = 0.
-1, 2
Let w(i) = i**2 + 6*i + 2. Let k(p) = -p**2 - 7*p - 1. Let c(z) = 2*k(z) + 3*w(z). Suppose c(y) = 0. What is y?
-2
Let g(c) be the second derivative of c**5/190 - c**4/114 - 8*c. Factor g(h).
2*h**2*(h - 1)/19
Suppose -4*m - 3*g + 15 = 0, -2*m - 4*g = -0*g - 10. Solve -3/4*v**4 - 3/2*v + 0 - 15/4*v**2 - 3*v**m = 0 for v.
-2, -1, 0
Let g be 28/6 - 5 - 13/(-12). Factor 1/2*p**2 - 3/4*p + g*p**3 - 1/2.
(p - 1)*(p + 1)*(3*p + 2)/4
Suppose 3*h - 2*g = 3*g + 7, 5*h = -2*g + 22. Let i(t) be the first derivative of -4*t**2 + 0*t - 1/2*t**h + 8/3*t**3 - 2. Solve i(l) = 0.
0, 2
Let u = -87/2 - -47. Factor -1/4*p + u*p**3 + 11/4*p**4 + 3/2*p**2 + 3/4*p**5 - 1/4.
(p + 1)**4*(3*p - 1)/4
Let x be (-3)/9*-9 + -3. Let z(c) be the first derivative of -1/9*c**2 + 1 + x*c + 2/27*c**3. Factor z(a).
2*a*(a - 1)/9
Let w(h) be the second derivative of h**5/20 + h**4/12 + h**3/6 - 2*h. Let z(u) = -9*u**3 + 15*u + 3. Let d(g) = -3*w(g) + z(g). Suppose d(p) = 0. Calculate p.
-1, -1/4, 1
Let x = 45 - 89/2. Factor -1/2*d + x*d**2 - 1.
(d - 2)*(d + 1)/2
Let f(o) = -64*o**2 + 43*o + 7. Let i(h) = 4 + 2 - 6 + 16*h**2 - 2 - 11*h. Let r(c) = -6*f(c) - 22*i(c). Factor r(a).
2*(4*a - 1)**2
Let f(s) be the third derivative of -s**6/40 + s**5/4 - s**4 + 2*s**3 - 8*s**2 - 1. Factor f(l).
-3*(l - 2)**2*(l - 1)
Let f(b) be the second derivative of 3*b**5/20 - b**4/2 - b**3/2 + 3*b**2 + 19*b. Let f(i) = 0. What is i?
-1, 1, 2
Let a(u) be the third derivative of -u**7/105 + 7*u**6/120 - 3*u**5/20 + 5*u**4/24 - u**3/6 + 2*u**2. Let a(v) = 0. Calculate v.
1/2, 1
Let y(b) be the second derivative of -b**8/168 - b**7/315 + b**6/60 + b**5/90 + b**2/2 + 3*b. Let x(z) be the first derivative of y(z). Solve x(t) = 0.
-1, -1/3, 0, 1
Let x be 258/285 + (-14)/133. Factor -22/5*h**3 + 0*h - x*h**2 + 0.
-2*h**2*(11*h + 2)/5
Let q = -208 - -210. Factor 2/5*p**q + 0 + 0*p + 2/5*p**3.
2*p**2*(p + 1)/5
Let h(y) = y**2 + 4*y - 5. Let g be h(-5). Suppose 0 = 2*j - 5 + 1. Suppose g*c + 0 - 1/3*c**3 + 1/3*c**j - 1/3*c**4 + 1/3*c**5 = 0. Calculate c.
-1, 0, 1
Let p be (2/8)/((-6)/(-48)). Solve -16*m + 56*m + 6 + 28*m**p + 14 + 6*m**3 - 4 = 0.
-2, -2/3
Let v(b) be the third derivative of -3/140*b**5 - 1/14*b**3 - 1/280*b**6 + 0 + 0*b - 6*b**2 - 3/56*b**4. Factor v(l).
-3*(l + 1)**3/7
Let o(m) be the third derivative of -m**5/120 + m**4/8 - 2*m**3/3 - 30*m**2. What is s in o(s) = 0?
2, 4
Let 79*n**4 - 73*n**4 - 4*n**5 + n**5 = 0. What is n?
0, 2
Solve -3/2 - 3/2*k**4 + 3*k**2 + 0*k + 0*k**3 = 0 for k.
-1, 1
Let i(x) be the second derivative of -x**5 + 5*x**3/2 + 5*x**2/2 - x. Factor i(w).
-5*(w - 1)*(2*w + 1)**2
Let d = -149/187 - -25/33. Let b = d - -55/102. Factor b*g - 1/2*g**4 - 3/2*g**2 + 0 + 3/2*g**3.
-g*(g - 1)**3/2
Let a = 12 + -6. Let p(j) = -j**3 + 7*j**2 - 7*j + 9. Let v be p(a). Suppose 4*t**3 - 4*t**v - t**4 = 0. Calculate t.
0
Let x(y) be the fir