Let a(o) be the first derivative of 0*o - 3/10*o**2 + 1/5*o**3 - 1. Solve a(q) = 0 for q.
0, 1
Let g = 67/48 - 1/16. Let t = g - 1. Factor -t*f**2 - 1/3*f + 0.
-f*(f + 1)/3
Let t(f) be the second derivative of f**6/180 - f**5/30 + f**4/12 + f**3/2 + 2*f. Let a(k) be the second derivative of t(k). Solve a(s) = 0 for s.
1
Factor 0 + 0*t**2 - 10*t**3 + 2/5*t.
-2*t*(5*t - 1)*(5*t + 1)/5
Let r be (-1151)/4620 + (2 - 14/8). Let b(k) be the third derivative of -r*k**7 - 3*k**2 - 1/660*k**6 + 1/132*k**4 + 1/330*k**5 + 0*k + 0 + 0*k**3. Factor b(z).
-2*z*(z - 1)*(z + 1)**2/11
Let l(u) be the second derivative of 4/15*u**4 + 1/105*u**7 + 2/5*u**2 - 7/15*u**3 - 2/75*u**6 + 7*u - 1/25*u**5 + 0. Determine g so that l(g) = 0.
-2, 1
Suppose -n + 5 = -0*n. Let y(s) be the second derivative of 0*s**3 + 0*s**n + 0*s**4 + 0*s**2 + 0 + s - 1/231*s**7 + 1/165*s**6. Factor y(z).
-2*z**4*(z - 1)/11
Let h(m) be the first derivative of -3*m**5/25 + 3*m**3/5 + 3*m**2/5 + 6. Determine o so that h(o) = 0.
-1, 0, 2
Let r(q) be the first derivative of -1/5*q**5 - 12*q**2 - 22/3*q**3 - 9*q - 2*q**4 - 4. Solve r(v) = 0 for v.
-3, -1
Let q(m) be the first derivative of m**8/280 - m**7/60 + m**6/36 - m**5/60 - m**3/3 + 1. Let a(x) be the third derivative of q(x). What is g in a(g) = 0?
0, 1/3, 1
Let r = -46 - -46. Let p(g) be the third derivative of 1/30*g**5 + r*g**3 + 0 + 1/18*g**4 - 1/105*g**7 - 1/90*g**6 + 2*g**2 + 0*g. Determine j so that p(j) = 0.
-1, -2/3, 0, 1
Let j = -93 + 559/6. Let a(z) be the second derivative of -1/4*z**2 + 0 - 2*z - j*z**3 - 1/24*z**4. Factor a(n).
-(n + 1)**2/2
Let g = 2437/13 + -187. Let w(l) = -l - 2. Let h be w(-4). Factor 2/13*n**5 + g*n**3 + 6/13*n**4 + 2/13*n**h + 0 + 0*n.
2*n**2*(n + 1)**3/13
Let k(i) be the second derivative of -i**4/12 - i**3/2 - i**2/2 - i. Let t(r) = 2*r**2 + 10*r + 2. Let n(y) = -14*k(y) - 5*t(y). What is d in n(d) = 0?
1
Let b(g) be the third derivative of -g**8/1890 - g**7/945 - g**6/1080 + g**5/30 - g**2. Let w(f) be the third derivative of b(f). Suppose w(h) = 0. Calculate h.
-1/4
Suppose -4*n = n - 3*z - 17, -4*z = -5*n + 16. Let w(j) be the third derivative of 3*j**2 + 0*j + 0 + 1/15*j**3 + 1/150*j**5 - 1/30*j**n. Factor w(r).
2*(r - 1)**2/5
Let n(t) be the first derivative of 2*t**3/5 - 6*t**2/5 - 1. Factor n(a).
6*a*(a - 2)/5
Let z(g) = -g**3 - 8*g**2 + 9*g + 2. Let l be z(-9). Suppose 3*v**4 - 2*v**2 + l*v**3 - v**4 + v**2 - v**3 = 0. What is v?
-1, 0, 1/2
Let z(a) be the second derivative of 0*a**3 + 0 + 0*a**2 + 1/21*a**7 - 1/15*a**6 + 0*a**5 + 0*a**4 - a. Factor z(p).
2*p**4*(p - 1)
Let u = -8 + 9. Let y(d) = -d - 1. Let t(j) = 3 - 4 - 2*j**2 + 3 - 4*j. Let p(b) = u*t(b) - 2*y(b). Factor p(k).
-2*(k - 1)*(k + 2)
Let f(p) = 4*p**2 - 2*p - 1. Let v be f(-1). Let u be 2/20*v/2. Let -u*s**4 + 0 + 1/2*s**3 + 0*s**2 + 0*s = 0. What is s?
0, 2
Factor 4*d**3 - 4*d**4 + 3*d**2 + d**2 - 5*d + d.
-4*d*(d - 1)**2*(d + 1)
Let o be -2*((-7)/(-12))/(-7)*1. Factor -o*k**4 + 0*k - 1/6*k**3 + 1/6*k**2 + 0 + 1/6*k**5.
k**2*(k - 1)**2*(k + 1)/6
Solve -8*x - 3*x**3 - 8*x**2 + 5*x**3 + 12*x**2 + 10*x**3 = 0 for x.
-1, 0, 2/3
Let l(t) = -t**2 - 6*t - 6. Suppose 0 = -4*p - 11 - 5. Let b be l(p). Factor -2*i + 0*i + 0*i**b - 2*i**2.
-2*i*(i + 1)
Let n = 81/316 - 1/158. Factor -1/2*g**2 - n*g**5 + 1/4*g + 0 + 1/2*g**4 + 0*g**3.
-g*(g - 1)**3*(g + 1)/4
Suppose -15*u + 24 + 21 = 0. Factor -1/4*f**4 + 3/4*f**2 + 1/4*f**u + 1/2 - 5/4*f.
-(f - 1)**3*(f + 2)/4
Let l(p) be the second derivative of -p**5/30 + p**4/18 + p**3/9 - p**2/3 + 3*p. Find c, given that l(c) = 0.
-1, 1
Let c be 1 + 0 + -2 + 3. Find h, given that 0*h - 3*h - 3*h**5 - 12*h**4 - 5*h**3 - 13*h**3 - h**c - 11*h**2 = 0.
-1, 0
What is m in -18 - 58*m**3 - 4*m**5 + 2 + 62*m**3 + 28*m**2 - 12*m**4 = 0?
-2, -1, 1
Suppose 0*a + a = 5. Let q(w) be the second derivative of -2*w + 1/40*w**6 + 1/40*w**a + 0 - 1/12*w**3 + 0*w**2 - 1/16*w**4. Factor q(h).
h*(h - 1)*(h + 1)*(3*h + 2)/4
Let y(r) be the second derivative of -r**5/15 + r**4/9 + 2*r**3/9 - 2*r**2/3 - 8*r. Find b, given that y(b) = 0.
-1, 1
Let g be ((-3)/6)/((-8)/(-12)*-3). Let c be (-18)/(-8) - (-1 - -3). Let -c - 1/4*d**3 + 1/4*d**2 + g*d = 0. Calculate d.
-1, 1
Let t(u) = u + 4*u - 2*u - u. Let r be t(1). Find j such that 0 + 1/3*j**4 + j**3 + j**r + 1/3*j = 0.
-1, 0
Let n(q) be the second derivative of -q**5/72 - q**4/48 - 3*q**2 - q. Let k(i) be the first derivative of n(i). Factor k(w).
-w*(5*w + 3)/6
Let s(k) be the first derivative of -k**5/180 - k**4/18 - 2*k**3/9 + 2*k**2 - 1. Let y(p) be the second derivative of s(p). Solve y(z) = 0 for z.
-2
Suppose -5 + 14 = 3*f. Let m(c) be the second derivative of 1/15*c**5 + 1/36*c**4 + 0 - 3*c - 2/9*c**f - 1/6*c**2. Find h, given that m(h) = 0.
-1, -1/4, 1
Suppose 0*i + 5*m + 9 = 3*i, 12 = 4*i - m. Factor i*t**3 - 8*t**3 + 7*t**3.
2*t**3
Let h(x) be the first derivative of -x**3/15 + x/5 + 25. Determine j so that h(j) = 0.
-1, 1
Let w(z) be the first derivative of z**6/6 - 6*z**5/5 - 7*z**4/4 + 48. Factor w(f).
f**3*(f - 7)*(f + 1)
Factor 6/11 - 18/11*d**2 - 12/11*d.
-6*(d + 1)*(3*d - 1)/11
Let v(i) be the second derivative of -i**4/48 + i**3/8 - i**2/4 - i. Suppose v(u) = 0. What is u?
1, 2
Let f be 6/60*(-3 + 5). Factor f*c + 1/5 - 1/5*c**3 - 1/5*c**2.
-(c - 1)*(c + 1)**2/5
Suppose -3*f + 12 = -f. Suppose -12 = 2*t - f*t. Factor 2*s**4 - 10*s**3 - s**5 - 4*s**4 + 9*s**t.
-s**3*(s + 1)**2
Suppose 1/2*x + 0 - 5/6*x**2 + 1/6*x**3 + 1/6*x**4 = 0. Calculate x.
-3, 0, 1
Suppose -1/3*g - 1/3*g**2 + 2/3 = 0. What is g?
-2, 1
Let j(z) be the first derivative of 3*z**5/5 + 5*z**4/4 - 4*z**3/3 - 2*z**2 + 5. Find f, given that j(f) = 0.
-2, -2/3, 0, 1
Factor 0*o**2 - 1/2*o**3 - 1 + 3/2*o.
-(o - 1)**2*(o + 2)/2
Let n(s) be the second derivative of -5*s**4/36 + 5*s**3/9 - 37*s. Find g, given that n(g) = 0.
0, 2
Let b be (1/(-3))/(340/(-192)). Let r = 10/17 - b. Find j such that 2/5*j**4 + 0 + 0*j**3 - 1/5*j - r*j**2 + 1/5*j**5 = 0.
-1, 0, 1
Suppose -5*a = 284 - 294. Determine i, given that 3/5*i**a + 0 + 0*i + 6/5*i**3 + 3/5*i**4 = 0.
-1, 0
Let a(x) be the third derivative of x**6/120 + x**5/10 - x**4/3 - x**3/2 - x**2. Let y be a(-7). Factor y - 3*n**2 - 6*n - 4*n**2 - 3*n**2.
-2*(n + 1)*(5*n - 2)
Let i be (-18)/(-24) - 3/4. Let a(g) be the third derivative of -3*g**2 + 1/240*g**5 + i - 1/48*g**4 + 1/24*g**3 + 0*g. Factor a(p).
(p - 1)**2/4
Let f be 203/(-21) - (-1)/(-3). Let w be (-23)/(-20) - (-4)/f. Factor 0 + 1/4*q - 3/4*q**2 + w*q**3 - 1/4*q**4.
-q*(q - 1)**3/4
Let l(v) be the third derivative of v**8/448 - 3*v**6/160 - v**5/40 - 27*v**2. Suppose l(f) = 0. Calculate f.
-1, 0, 2
Let t(f) be the first derivative of -4/5*f**5 + 3/4*f**4 + 0*f - 3 + 0*f**2 + 1/3*f**3. Factor t(i).
-i**2*(i - 1)*(4*i + 1)
Determine n so that 3*n**4 + 3/4*n + 0 + 3/4*n**5 + 9/2*n**3 + 3*n**2 = 0.
-1, 0
Let u(q) be the third derivative of q**6/540 - q**4/108 - 10*q**2. Factor u(t).
2*t*(t - 1)*(t + 1)/9
Let d(x) be the third derivative of x**6/360 - x**4/24 + x**3/9 - 2*x**2. Find n, given that d(n) = 0.
-2, 1
Let k be -1 - (-1)/(3/12). Let g = 6 - k. Determine a so that 0*a**g + a + a - 2*a**3 = 0.
-1, 0, 1
Let x(h) be the second derivative of 3*h**5/20 - h**4/2 + 2*h. Determine v so that x(v) = 0.
0, 2
Solve 2*g**2 - 2 + 28 - 14*g - 7 - 7 = 0 for g.
1, 6
Suppose -15 = -4*j + 1. Let k = -9/37 - -351/74. Solve -5/2*z**3 + k*z**2 + 5/2*z - 7/2*z**j - 1 = 0.
-1, 2/7, 1
Suppose -5*h = -o - o, 5*o - 2*h = 0. Let z be ((-12)/9 - o) + 2. Factor 0 - 2/3*d - 4/3*d**2 - z*d**3.
-2*d*(d + 1)**2/3
Let o(s) be the second derivative of s**5/100 + 3*s**4/20 + 4*s**3/5 + 8*s**2/5 - s. Factor o(c).
(c + 1)*(c + 4)**2/5
Factor 16*n**2 - 15*n - 19*n**3 + 2*n**2 + 16*n**3.
-3*n*(n - 5)*(n - 1)
Let f(j) be the first derivative of 0*j**5 - 1 + 1/3*j**3 + 1/12*j**4 + 0*j - 1/180*j**6 + 0*j**2. Let b(w) be the third derivative of f(w). Factor b(s).
-2*(s - 1)*(s + 1)
Let t(x) = x**3 - 3*x**2 + 2*x + 2. Let u be t(2). Let g(h) be the first derivative of 1/4*h**4 + 0*h**5 + 0*h**3 - 1/6*h**6 + 1 + 0*h + 0*h**u. Factor g(p).
-p**3*(p - 1)*(p + 1)
Let d be (-16 - -14)/(-2 - 0). Determine u so that 2*u**4 + 3*u**2 - d - 3*u**4 + 4*u**2 - 5*u**2 = 0.
-1, 1
Suppose 5*h = -2*f + 35, h = -f - 4*h + 30. Let n be 4/f*(-5)/(-2).