 1/840*x**7 + 0*x**5. Factor u(j).
-(j - 1)**3*(j + 1)/4
Let i(n) be the first derivative of -1/252*n**6 - 1/105*n**5 + 0*n + 1/84*n**4 + 0*n**2 - 3 + n**3. Let a(l) be the third derivative of i(l). Factor a(g).
-2*(g + 1)*(5*g - 1)/7
Let p = -2/3 + 1. Factor 1/3 + p*g**2 + 2/3*g.
(g + 1)**2/3
Let y(q) = -4*q - 1. Let n be y(-1). Suppose n*d + 8 = 7*d. Factor 0*v - 3*v - v**d + 4*v.
-v*(v - 1)
Suppose 5*m - 4*x + 6 = 14, -3*x - 6 = -4*m. Find k, given that -3/4*k**3 - 1/2*k + m - 7/4*k**2 = 0.
-2, -1/3, 0
Let o(q) = q**3 + 4*q**2 + 3*q. Let g be o(-2). Let s = g - -1. Solve -3*i**4 + i + 5*i**2 + 9*i**3 - 2*i**4 - 7*i**5 - s*i = 0.
-1, 0, 2/7, 1
Let m(d) be the first derivative of -d**4/26 - 2*d**3/13 - 3*d**2/13 - 2*d/13 + 25. Factor m(s).
-2*(s + 1)**3/13
Let p(z) be the second derivative of 0 - 3*z + 0*z**2 + 1/12*z**3 - 1/48*z**4. Determine f so that p(f) = 0.
0, 2
Let a(c) be the first derivative of 2*c**5/5 + c**4/2 - 2*c**3 - c**2 + 4*c - 9. What is u in a(u) = 0?
-2, -1, 1
Let f(b) = 2*b**4 + 2*b**3 - 4*b**2 - 6*b + 2. Let j(h) = 2*h**4 + h**3 - 5*h**2 - 7*h + 3. Let v(z) = 3*f(z) - 2*j(z). Factor v(p).
2*p*(p - 1)*(p + 1)*(p + 2)
Let n(u) = 9*u**2 - 9*u. Let a(k) = -10*k**2 + 9*k + 1. Let c(w) = w**2 + 15*w + 7. Let j be c(-14). Let r(q) = j*n(q) - 6*a(q). Factor r(m).
-3*(m - 2)*(m - 1)
Let r = -476 + 4286/9. Factor 0*t**2 + r*t**3 - 2/3*t - 4/9.
2*(t - 2)*(t + 1)**2/9
Let q(m) be the first derivative of -m**3/12 - 3*m**2/8 - m/2 - 62. Factor q(x).
-(x + 1)*(x + 2)/4
Let i be ((-24)/(-15))/4 + (-3)/(-5). Determine h so that 15/2*h**3 - 13/4*h**2 - i - 9/4*h**4 - 5*h = 0.
-1/3, 2
Let s = -9/10 - -21/10. Let 2/5*w**2 - s*w + 0 = 0. Calculate w.
0, 3
Let k(r) = -5*r**2 + 16*r. Let h(v) = v**2 - 3*v. Let s(o) = -11*h(o) - 2*k(o). Factor s(y).
-y*(y - 1)
Suppose 2*x - 4*x + 3*x = 0. Let b(f) be the second derivative of 1/10*f**5 + 0*f**6 + 0 + 0*f**2 + x*f**4 + 0*f**3 + f - 1/21*f**7. Solve b(l) = 0 for l.
-1, 0, 1
Factor -1/5*y + 0 - 1/5*y**2.
-y*(y + 1)/5
Let l = -48 - -145/3. Suppose 0*u + 2/3*u**3 + 0 + 1/3*u**4 + l*u**2 = 0. Calculate u.
-1, 0
Let w = 61/21 - 20/7. Let n(t) be the first derivative of 0*t**2 - 6/35*t**5 - 3/14*t**4 + 3 + 0*t - 2/21*t**3 - w*t**6. Factor n(f).
-2*f**2*(f + 1)**3/7
Let g be (-76)/(-475) + 2/(-15). Let c = 52/75 - g. Factor -c*u**2 - 2/3 + 4/3*u.
-2*(u - 1)**2/3
Let d(m) be the first derivative of -m**3/12 + m**2/8 + 4. Suppose d(o) = 0. What is o?
0, 1
Let o(q) be the third derivative of q**7/105 + q**6/36 + 7*q**5/270 + q**4/108 - 35*q**2. Factor o(l).
2*l*(l + 1)*(3*l + 1)**2/9
Let m(o) be the third derivative of -o**5/60 - 7*o**4/24 + o**3/2 - 9*o**2. Let a be m(-7). Solve 9/2*b**2 - b + 0 + 5/2*b**4 - 6*b**a = 0 for b.
0, 2/5, 1
Let c(i) be the second derivative of -i**8/1280 - i**7/280 - i**6/320 + i**5/80 - i**4/3 - 2*i. Let k(s) be the third derivative of c(s). Factor k(n).
-3*(n + 1)**2*(7*n - 2)/4
Let j(a) be the first derivative of a**2 - a + 7/6*a**3 - 1/3*a**4 - 3. Let p(t) be the first derivative of j(t). Determine y, given that p(y) = 0.
-1/4, 2
Find u such that -3/5*u**4 + 3/5*u**5 - 18/5*u**3 + 9/5 - 6/5*u**2 + 3*u = 0.
-1, 1, 3
Let a(c) = c**4 + c**2 + 1. Let o(v) = 6*v**4 + 28*v**3 + 46*v**2 + 20*v + 2. Let p(j) = -2*a(j) + o(j). Let p(g) = 0. Calculate g.
-5, -1, 0
Let x(n) be the first derivative of -2*n - 1/2*n**2 + 2 - 1/5*n**5 + n**3 + 1/4*n**4. Determine h, given that x(h) = 0.
-1, 1, 2
Let s(i) be the first derivative of 0*i + 1/7*i**6 - 4/21*i**3 - 16/35*i**5 - 4 + 1/2*i**4 + 0*i**2. Suppose s(j) = 0. What is j?
0, 2/3, 1
Suppose -2*j = -j - 9. Suppose 3*o = g - 17, o + 9 = -3*g - 2*o. Factor -j*y**g - 16*y + 6 + 0*y**2 + y.
-3*(y + 2)*(3*y - 1)
Factor -1/3*m**2 - 4/3*m - 1.
-(m + 1)*(m + 3)/3
Let j(p) be the first derivative of 2*p - 3 + 2*p**3 + 3*p**2 + 1/2*p**4. Suppose j(y) = 0. Calculate y.
-1
Solve a**3 - 9*a**2 + a + a + 3*a**3 + 3*a**3 = 0 for a.
0, 2/7, 1
Solve 34/7*r**3 + 50/7*r - 4/7*r**4 - 12/7 - 68/7*r**2 = 0 for r.
1/2, 1, 6
Let y = -213/8 + 2817/104. Suppose -6/13*d**4 - 2/13*d**5 + y*d + 2/13 - 4/13*d**3 + 4/13*d**2 = 0. What is d?
-1, 1
Let l(k) be the first derivative of -k**8/1680 + k**7/840 + k**6/360 - k**5/120 + 4*k**3/3 - 1. Let s(m) be the third derivative of l(m). What is y in s(y) = 0?
-1, 0, 1
Let q be 2/12 + (-6)/45. Let o(g) be the third derivative of q*g**3 - 1/30*g**4 + 0 + 0*g + 1/75*g**5 + g**2. Factor o(r).
(2*r - 1)**2/5
Suppose 2 = -3*u + 8. Determine c so that -c - 2*c**u - 4*c - 3*c = 0.
-4, 0
Suppose d + 4*r - 15 = 0, d + 0*r - 11 = -2*r. Suppose -4*k + 1 = -d. Find u such that 4*u + 2 + 5/2*u**k + 1/2*u**3 = 0.
-2, -1
Factor 0 + 6/11*k**3 + 0*k - 4/11*k**2.
2*k**2*(3*k - 2)/11
Let z(m) be the first derivative of -1/5*m**3 + 3/5*m + 5 + 1/10*m**2 - 1/20*m**4. Let z(i) = 0. What is i?
-3, -1, 1
Let s = -1 - 2. Let a be -1 - 1 - -1 - s. Factor -y**3 + 3*y - y**4 + 0 + 3*y**2 + 2*y + a.
-(y - 2)*(y + 1)**3
Let 27/5 + 3/5*t**2 - 18/5*t = 0. Calculate t.
3
Let g = -46 - -93/2. Let c(v) be the first derivative of -3 + 0*v - g*v**2 - 1/3*v**3. Factor c(p).
-p*(p + 1)
Let t be (-9)/14*((-29)/(-6) - 6). Factor 9*p**3 + t*p + 0 + 21/4*p**2.
3*p*(3*p + 1)*(4*p + 1)/4
Let f be 4 + 4 - 3 - 3. What is o in -4/3*o**3 + 4/3*o - 10/3*o**4 + 0 + 10/3*o**f = 0?
-1, -2/5, 0, 1
Let j(g) be the third derivative of g**5/240 + 3*g**4/16 + 27*g**3/8 - 27*g**2. Factor j(u).
(u + 9)**2/4
Let l be (0 - 4)*(-10)/8. Suppose -l*r = 2*o - 16, -o + 13 = -2*r + 7*r. Find u such that 2/7*u**r + 2/7*u + 0 = 0.
-1, 0
What is d in -4/23*d + 2/23*d**3 + 0 + 2/23*d**2 = 0?
-2, 0, 1
Find r such that 13/6*r**2 - 2*r - r**3 + 1/6*r**4 + 2/3 = 0.
1, 2
Factor -18*c - 32*c**2 + 3*c**5 + 0*c**5 - 4 + 0 - 5*c**5 - 28*c**3 - 12*c**4.
-2*(c + 1)**4*(c + 2)
Let k be ((-12)/8 + 1)*4/(-6). Let f(a) be the second derivative of a + 0 + 0*a**2 + k*a**3 + 1/12*a**4. Factor f(d).
d*(d + 2)
Let i be ((-7)/42*-9)/(6/16). Let z(a) be the second derivative of 0 - i*a + 3/10*a**5 - 1/6*a**4 + 0*a**3 + 0*a**2 + 4/15*a**6. Factor z(k).
2*k**2*(k + 1)*(4*k - 1)
Let q(r) be the second derivative of -r**10/60480 - r**9/15120 - r**8/13440 - r**4/6 + 2*r. Let j(k) be the third derivative of q(k). Find g such that j(g) = 0.
-1, 0
Let s(n) = n**3 - 2*n**2 - 11*n + 24. Let j be s(3). Factor 3/5*x**3 - 3/5*x**2 + 3/5*x**4 - 3/5*x + j.
3*x*(x - 1)*(x + 1)**2/5
Factor -15*r + 0*r**2 + 3*r**2 + 6 + 6.
3*(r - 4)*(r - 1)
Let z be (-3 - 108/(-30))*(-10)/(-9). What is p in 0*p**3 + 2/3 + z*p**4 + 0*p - 4/3*p**2 = 0?
-1, 1
Let x(f) be the third derivative of 0*f - 1/420*f**7 - 1/240*f**6 + 0 + 0*f**3 + 3*f**2 + 1/120*f**5 + 1/48*f**4. Let x(o) = 0. What is o?
-1, 0, 1
Let x(b) be the first derivative of -b**8/4200 + b**7/525 - b**6/150 + b**5/75 - b**4/60 - b**3 + 3. Let v(c) be the third derivative of x(c). Factor v(g).
-2*(g - 1)**4/5
Let g(o) be the third derivative of -o**6/180 + o**5/30 - o**4/18 + 20*o**2. Find s such that g(s) = 0.
0, 1, 2
Suppose 0 = 2*t + 2*l + 8, -l - 24 = -4*t + 3*l. Factor -t + 1/2*j**3 + 0*j**2 - 3/2*j.
(j - 2)*(j + 1)**2/2
Suppose 0 = -2*s + 3 + 3. Let b(v) = -s*v**2 + 9*v - 2*v**2 + 7 + 2*v**2. Let r(p) = 10*p**2 - 28*p - 22. Let m(q) = -16*b(q) - 5*r(q). Factor m(a).
-2*(a + 1)**2
Let o(t) be the third derivative of -t**6/30 - t**5/6 + 2*t**4/3 + 5*t**3/3 + 5*t**2. Let w(l) = -l**2 - 1. Let d(x) = o(x) - 6*w(x). Let d(v) = 0. Calculate v.
-2, -1, 2
Suppose 4*c - 2*c = 0. Solve -11 + c - 18*t**2 + 7 - 22*t = 0 for t.
-1, -2/9
Let s = 218 + -214. Find h, given that 0*h - 1/3*h**5 - 1/3*h**s + 1/3*h**3 + 0 + 1/3*h**2 = 0.
-1, 0, 1
Let z(c) = 3*c**2 + 12*c + 7. Let w(t) = -t**3 + t**2 - t - 1. Let q(m) = 3*w(m) + 3*z(m). Factor q(n).
-3*(n - 6)*(n + 1)**2
Let v(s) = -3 - s**3 + 4 + 45*s**3. Let l be v(1). Find q such that -l*q**5 - 5*q**2 - 75*q**4 - 39*q**3 - q**2 - 3*q**4 = 0.
-1, -2/5, -1/3, 0
Let y(i) be the second derivative of 0 + 1/12*i**4 - 1/20*i**5 + 0*i**2 - 3*i + 1/3*i**3. Factor y(t).
-t*(t - 2)*(t + 1)
Let 1/3*z - 1/2 + 1/6*z**2 = 0. What is z?
-3, 1
Let b(m) = m**2 - m + 1. Let o be 2/(-4) + 15/6. Let l(x) = -34*x**2 + 18*x - 4. Let d = -2 + 3. Let z(a) = d*l(a) + o*b(a). Find u such that z(u) = 0.
1/4
Let w(r) be the third derivative of 9*r**5/25 - 3*r**4/10 + r**3/10 -