 + 2)**3/6
Let d(q) be the second derivative of q**6/36 + q**5/180 - q**4/9 - q**3/6 - 19*q**2/2 - 25*q. Let x(c) be the first derivative of d(c). Factor x(p).
(p - 1)*(2*p + 1)*(5*p + 3)/3
Let m(n) be the second derivative of -n**4/3 + 532*n**3/3 - 35378*n**2 + 26*n + 11. Factor m(l).
-4*(l - 133)**2
Factor -5666*v**3 + 5661*v**3 - 49*v**2 - 30*v - 28*v**2.
-v*(v + 15)*(5*v + 2)
Let f(m) = 2*m**2 - 60*m - 128. Let h be f(32). Let q(w) be the third derivative of h*w - 1/100*w**5 + 1/40*w**4 + 1/5*w**3 - w**2 + 0. Factor q(u).
-3*(u - 2)*(u + 1)/5
Let p = 6 - 8. Let a be 63/21 + -5 + 3. Let v(t) = t**3 - 9*t**2 + 7*t - 3. Let u(n) = -n**3 - n. Let o(k) = a*v(k) + p*u(k). Factor o(r).
3*(r - 1)**3
Suppose -28*x = -31*x - 126. Let f be -4 + (-5 - 390/x). Factor 0*c**2 - f*c**4 + 0*c - 2/7*c**3 + 0.
-2*c**3*(c + 1)/7
Let w = -12452 - -12455. Find a, given that -2/3*a**w + 1152 - 288*a + 24*a**2 = 0.
12
Let l(o) = -4*o**3 - o**2 + o - 2. Let p(u) = -5*u**3 - 2*u**2 + u - 2. Let i(s) = -4*l(s) + 3*p(s). Factor i(h).
(h - 2)*(h - 1)*(h + 1)
Let n = -6645 + 6645. Let 0*p - 2/5*p**3 - 2/5*p**4 + 0*p**2 + n = 0. Calculate p.
-1, 0
Let u(x) be the first derivative of 5*x**7/42 - x**5/2 + 5*x**3/6 + 2*x + 4. Let w(l) be the first derivative of u(l). Let w(k) = 0. What is k?
-1, 0, 1
Let s(l) = 23*l**2 - 86*l + 7. Let x(p) = -10*p**2 + 42*p - 3. Let o(v) = 3*s(v) + 7*x(v). Factor o(b).
-b*(b - 36)
Solve -6*i**3 - 36*i**2 + 32*i**2 - 2*i**4 + 0 + 0 = 0.
-2, -1, 0
Let q(z) be the third derivative of z**8/36960 + z**7/924 + 5*z**6/264 + 25*z**5/132 + z**4/3 - 6*z**2. Let k(h) be the second derivative of q(h). Factor k(c).
2*(c + 5)**3/11
Let g(m) be the third derivative of -16*m**2 + 3/14*m**3 + 1/70*m**5 + 0 + 0*m + 1/8*m**4. Factor g(h).
3*(h + 3)*(2*h + 1)/7
Let x(i) = -3*i**2 - 150*i + 651. Let w be x(-54). Factor 1/2*m**w + 3/2*m + 1/2 + 3/2*m**2.
(m + 1)**3/2
Let w(c) be the third derivative of 0*c - 2/3*c**4 + 16/3*c**3 + 0 + 18*c**2 + 1/30*c**5. Factor w(l).
2*(l - 4)**2
Suppose -3*z + 2*z = -5, o - 22 = -4*z. Factor 8*k**2 - 6*k**o - 10*k**3 - 16*k**2 - 4*k.
-2*k*(k + 1)*(5*k + 2)
Let c(z) be the first derivative of 1/5*z**2 - 1/10*z**4 - 4/5*z + 4/15*z**3 - 17. Solve c(v) = 0.
-1, 1, 2
Let u = 1/2517 - -559/839. Find w, given that u*w**2 + 0*w - 8/3 = 0.
-2, 2
Factor -108*p + 1944 + 3/2*p**2.
3*(p - 36)**2/2
Let j(v) be the first derivative of -11*v**4 - 12*v**3 + 136*v**2 - 48*v - 178. Let j(m) = 0. Calculate m.
-3, 2/11, 2
Let f(p) be the second derivative of -49*p**6/45 + 133*p**5/30 + 41*p**4/18 + p**3/3 - 20*p. Suppose f(w) = 0. Calculate w.
-1/7, 0, 3
Let p be 191*5/(-178 - -3). Let b = p - -33/5. Factor -2*f**2 + 24/7*f + b.
-2*(f - 2)*(7*f + 2)/7
Let z be -29 + 41 + 47/(-4). Factor -z*h**2 + 0 + 1/2*h.
-h*(h - 2)/4
Let v(l) be the third derivative of 1/30*l**5 + 1/2*l**3 - 14*l**2 + 0*l - 1/270*l**6 + 0 - 1/9*l**4. Let x(m) be the first derivative of v(m). Factor x(y).
-4*(y - 2)*(y - 1)/3
Let u be ((903/1170)/1 - 40/48)*-5. Factor -u*q + 2/13 - 2/13*q**4 + 0*q**2 + 4/13*q**3.
-2*(q - 1)**3*(q + 1)/13
Let u be (0/2)/((-6)/(-12 + 6)). Let g(w) be the second derivative of 5*w**2 - 25/6*w**3 - 1/4*w**5 + u + 5/3*w**4 + w. Find p, given that g(p) = 0.
1, 2
Let p = 57 - 4. Let n = p - 32. Suppose -2*a**4 - 21*a**2 - n*a**3 + 36*a**3 - 6*a**5 + 27*a + 60*a**2 + 6 - 7*a**4 = 0. What is a?
-1, -1/2, 2
Let g(w) be the second derivative of -3/10*w**5 + 13*w - 3/2*w**4 - 5/3*w**3 + 1/15*w**6 + 0 + 0*w**2. Determine u, given that g(u) = 0.
-1, 0, 5
Solve -11/2*i - 3 - 3*i**2 - 1/2*i**3 = 0.
-3, -2, -1
Let a(v) = 93*v**4 - 115*v**3 + 9*v**2 + 15*v - 5. Let h(w) = 94*w**4 - 114*w**3 + 8*w**2 + 14*w - 4. Let k(p) = 4*a(p) - 6*h(p). Find g, given that k(g) = 0.
-1/3, 1/4, 1
Let f = -192 - -192. Let q(b) be the third derivative of 1/525*b**7 + 0*b**6 + 6*b**2 - 1/75*b**5 + f + 1/15*b**3 + 0*b + 0*b**4. Determine u so that q(u) = 0.
-1, 1
Let u(k) be the second derivative of 1/6*k**4 - 2/3*k**3 + 0*k**2 + 19*k - 1/80*k**5 + 0. Let u(m) = 0. Calculate m.
0, 4
Let d(w) be the second derivative of -w**4/18 - 4*w**3/3 - 35*w**2/3 - 9*w - 1. Solve d(h) = 0 for h.
-7, -5
Let p(r) = -6*r**3 - 122*r**2 - 161*r + 108. Let b(o) = 6*o**3 + 121*o**2 + 160*o - 108. Let f(d) = -5*b(d) - 4*p(d). Factor f(u).
-3*(u + 2)*(u + 18)*(2*u - 1)
Let v(c) be the first derivative of -4*c**3/3 + 22*c**2 - 72*c - 66. Solve v(s) = 0.
2, 9
Let l be (2/4)/(11/(165/300)). Let t(h) be the second derivative of -1/24*h**4 + 0 + 11*h + 1/4*h**2 + l*h**5 - 1/12*h**3. Let t(p) = 0. What is p?
-1, 1
Let x = 1215 + -1211. Let p(v) be the third derivative of -4*v**3 - 21/2*v**x + 0 - 147/10*v**5 - 10*v**2 - 343/40*v**6 + 0*v. Find a such that p(a) = 0.
-2/7
Let f(g) = g**3 + 8*g**2 + 9*g - 9. Let o(k) = k**2 + 1. Let b(m) = -10*m**2 - 2*m - 6. Let t(u) = b(u) + 8*o(u). Let y(z) = -4*f(z) - 18*t(z). Factor y(w).
-4*w**2*(w - 1)
Solve 8*m**3 - 201*m**2 - 12*m**3 + 213*m**2 - 8*m = 0.
0, 1, 2
Factor -4/3*s**2 + 0 + 12*s.
-4*s*(s - 9)/3
Let u(i) be the first derivative of -4*i**4/3 + 24*i**3 - 35*i**2/2 + 13*i/3 + 65. What is q in u(q) = 0?
1/4, 13
Let u be ((-3)/2)/(3*(-3)/12). Determine f, given that 3*f**2 + 10 - 10*f + 2*f**2 - 3 - u = 0.
1
Let d(p) be the second derivative of -p**6/360 + 2*p**5/45 - 2*p**4/9 + 21*p**2/2 - 35*p. Let g(m) be the first derivative of d(m). Factor g(q).
-q*(q - 4)**2/3
Let q(x) be the second derivative of -2*x**6/5 + 9*x**5/4 + 6*x**4 + 5*x**3/2 + 219*x. Factor q(l).
-3*l*(l - 5)*(l + 1)*(4*l + 1)
Suppose -2*c = -c - 3. Suppose c*v + 12 = 27. Factor -6*b**4 - 4*b**3 + 4*b - 2*b**v + 3*b**5 + 17*b**3 - 12*b**2.
b*(b - 2)**2*(b - 1)**2
Let q(o) = o**2 + 3*o - 8. Let z be q(2). Let f(j) be the first derivative of 0*j + 2/3*j**3 + 2*j**z - 3/2*j**4 - 2. Determine t so that f(t) = 0.
-2/3, 0, 1
Let a be 5 + (-8)/60 + 2223/(-540). Factor a*q**2 + 27/4 - 15/2*q.
3*(q - 9)*(q - 1)/4
Let g = 12 + -7. Suppose g*l + 6 = 21, 7 = -5*c + 4*l. What is d in 2 + 18*d**2 - c + 8*d**3 - 24*d**4 - 12*d + 1 = 0?
-1, 1/3, 1/2
Let o(x) be the second derivative of x**6/20 - 27*x**5/40 + 15*x**4/8 - 7*x**3/4 - x - 1. Find h such that o(h) = 0.
0, 1, 7
Let v be 3 + (2 - 1*3341/649). Let q = 2/59 - v. Let q*r**2 + 0 + 0*r - 2/11*r**3 = 0. Calculate r.
0, 1
Suppose 2*h = 4*h - 80. Factor 9*j - 5*j**2 - h*j**3 - 6*j**4 - 5*j - 19*j**4 + 6*j.
-5*j*(j + 1)**2*(5*j - 2)
Let d be 0*(-22)/88*1/1. Factor d*g - 1/2 + 0*g**3 - 1/2*g**4 + g**2.
-(g - 1)**2*(g + 1)**2/2
Suppose 42*s = 99 + 111. Let n(p) be the second derivative of -1/6*p**4 + 3/20*p**s - 9*p + 1/12*p**3 + 1/84*p**7 + 0 + 0*p**2 - 1/15*p**6. Factor n(k).
k*(k - 1)**4/2
Let m = 2749/40 + -545/8. Solve 0 + 0*j + 27/5*j**4 + m*j**2 - 18/5*j**3 - 12/5*j**5 = 0.
0, 1/4, 1
Let y(d) be the second derivative of -d**6/240 - 7*d**5/160 + 3*d**4/32 + 7*d**3/48 - d**2/2 + 68*d. Let y(p) = 0. What is p?
-8, -1, 1
Let -36*j**3 + 16*j**4 + 47*j**4 - 39*j**4 + 16*j**2 - 4*j**5 = 0. What is j?
0, 1, 4
Let o = -53 - -56. Suppose -4*f + 2*f = -o*f. Factor -3/5*p**4 + f*p - 3/5*p**5 + 0 + 3/5*p**2 + 3/5*p**3.
-3*p**2*(p - 1)*(p + 1)**2/5
Suppose -5*c = 4*u - 6, u = 2*c + 4*u - 1. Let q(n) be the second derivative of 2*n + 2/33*n**3 - 1/11*n**c + 0 - 1/66*n**4. Let q(f) = 0. Calculate f.
1
Suppose -3 - 7 = -2*w. Factor g**4 - 15*g**3 - 6*g**4 + 10 + 19*g - w*g**2 - 4*g.
-5*(g - 1)*(g + 1)**2*(g + 2)
Let t be (-8)/12*(-243)/6. Let q be (((-4)/(-21))/(-2))/(t/(-126)). Suppose 2/9*f**3 - q*f + 2/9*f**2 + 0 = 0. Calculate f.
-2, 0, 1
Suppose 5*l - 6*l = -7. Suppose q = -l*q + 24. Find b such that -q*b + 23*b**3 + 7*b + 12*b**4 + 20*b**2 + 0*b - 5*b**4 = 0.
-2, -1, -2/7, 0
Let u(g) be the second derivative of 0 + 1/4*g**4 + 14*g + 3/8*g**2 - 1/2*g**3. Solve u(a) = 0 for a.
1/2
Let b = 3137 + -6271/2. Let 3/4*g**4 - 3/2*g**3 - 3/4*g**2 + 0 + b*g = 0. What is g?
-1, 0, 1, 2
Let k = -9 + 4. Let p(g) = -g**2 - 5*g. Let h be p(k). Factor h + 8*o**2 - 3*o - 11*o**2 + 0.
-3*o*(o + 1)
Let s(v) be the second derivative of -v**4/4 - 2*v**3 + 18*v**2 - 3*v - 10. Suppose s(b) = 0. Calculate b.
-6, 2
Let a(i) be the first derivative of 3*i**8/392 - 8*i**7/245 + i**6/20 - i**5/35 + 7*i**2/2 - 23. Let o(s) be the second derivative of a(s). Factor o(t).
6*t**2*(t - 1)**2*(3*t -