-6*a**2 - 4 + a**4 + 8*a**3 + a**4 - w*a + 7*a. Let i(g) = -g**4 - g**3 + g**2 - g + 1. Let r(d) = c(d) + 4*i(d). Factor r(m).
-2*m**2*(m - 1)**2
Let r = 1 - -1. Suppose -r*l = l. Solve -q + 1 - q**2 + l + 0*q**2 + q**3 = 0 for q.
-1, 1
Suppose 0 = -4*p - k + 15, -5*p + 20 = 2*k - 1. Let q = 3 - p. Factor -2*a**2 + 6 - 10 + q*a**2 + 6*a.
-2*(a - 2)*(a - 1)
Let v(x) be the first derivative of -54*x - 1 - 27*x**2 - 1/2*x**4 - 6*x**3. Factor v(c).
-2*(c + 3)**3
Let p(a) = -a - 4. Let m be p(-7). Suppose 0 = -m*t + 6*t. Factor 1/3*b**3 + 0 + 1/3*b**2 + t*b.
b**2*(b + 1)/3
Let d(u) = -2*u**2 + u - 9. Let q(s) = 6 - 9 - s + 2. Let h(j) = d(j) - 5*q(j). Find i such that h(i) = 0.
1, 2
Factor -2*p**2 + 8 + 0*p - 2*p - p - 3*p.
-2*(p - 1)*(p + 4)
Let d be (-30)/165 - 1/(11/(-57)). Let a(l) be the first derivative of -1/4*l**4 + 2/9*l**3 + 0*l + 0*l**2 + 3 + 1/15*l**d. Factor a(i).
i**2*(i - 2)*(i - 1)/3
Suppose 2*v - 3 = v. Let t(j) = j**2 + 9*j + 2. Let y be t(-9). Factor 0 - 2/11*q**y + 2/11*q**v - 2/11*q + 2/11*q**4.
2*q*(q - 1)*(q + 1)**2/11
Let o(x) be the second derivative of x**6/90 - x**5/15 + 2*x**3/3 + x. Let a(f) be the second derivative of o(f). Factor a(c).
4*c*(c - 2)
Let o = 3 - 1. Factor -f**2 + o*f**2 - 1 - 1 + 1.
(f - 1)*(f + 1)
Let x(n) be the second derivative of n**5/60 - 7*n**4/36 + 4*n**3/9 + 8*n**2/3 + 12*n. Factor x(d).
(d - 4)**2*(d + 1)/3
Let c = 0 - 2. Let l be c/(((-2)/4)/1). Suppose -2*r + 7*r**2 + 3*r - 18*r**l + 2*r**4 + 8*r**3 = 0. Calculate r.
-1/4, 0, 1
Solve 28/3*v**3 - 34/3*v**2 + 2/3*v + 4/3 = 0.
-2/7, 1/2, 1
Let y(t) be the second derivative of 9/16*t**4 + 0 + 1/40*t**6 + 7/8*t**3 + 3/4*t**2 - 8*t + 3/16*t**5. Determine z so that y(z) = 0.
-2, -1
Let j be ((-2)/(-4))/(-1) - 7/(-2). Factor 0*v**2 - 1/4*v**5 - 1/4*v**4 + 0*v + 0 + 0*v**j.
-v**4*(v + 1)/4
Let j = 0 + 4. Suppose -2*g - j = -4*g. Suppose r**g + 3*r**2 - 3*r**3 + 4*r**3 - 5*r**2 = 0. Calculate r.
0, 1
Let m be (-2 - -2)/(11 - 9). Let x(g) be the third derivative of 0*g**3 + g**2 + m + 0*g + 1/60*g**4 - 1/150*g**5. Let x(a) = 0. Calculate a.
0, 1
Let o(t) be the third derivative of -t**8/4032 + t**7/3780 + t**6/432 - t**5/180 - t**4/24 + 7*t**2. Let a(x) be the second derivative of o(x). Factor a(k).
-(k - 1)*(k + 1)*(5*k - 2)/3
Let c(b) be the third derivative of b**6/780 - b**5/390 - b**4/156 + b**3/39 - 56*b**2. Solve c(w) = 0 for w.
-1, 1
Let l(s) be the first derivative of -1/3*s**3 - 2/7*s**2 - 3/70*s**5 - 4/21*s**4 + 3*s + 1. Let a(z) be the first derivative of l(z). Factor a(v).
-2*(v + 1)**2*(3*v + 2)/7
Determine c so that 0*c - 1/9*c**2 + 1/9 = 0.
-1, 1
Let y(r) be the third derivative of r**5/12 + r**4/8 - r**3/3 + 2*r**2. Factor y(o).
(o + 1)*(5*o - 2)
Let v = -511/9 + 57. Factor 0*u + 2/9 - v*u**2.
-2*(u - 1)*(u + 1)/9
Let i(q) be the first derivative of q**3/15 - 7. Factor i(g).
g**2/5
Let o(c) be the third derivative of -c**8/504 - 4*c**7/315 - c**6/36 - c**5/45 - 10*c**2. Factor o(t).
-2*t**2*(t + 1)**2*(t + 2)/3
Let y(h) be the second derivative of -2*h**6/3 + 12*h**5/5 + h**4/3 - 8*h**3 + 8*h**2 + 8*h. Find i such that y(i) = 0.
-1, 2/5, 1, 2
Let u be (-3)/(-4)*44/99. Factor -u*g + 0 + 1/3*g**2.
g*(g - 1)/3
Solve -3*o**2 + 26 - 26 - 4*o**3 + 6*o - 15*o**4 - 20*o**3 = 0.
-1, 0, 2/5
Let r(c) be the third derivative of c**8/6720 - c**7/1680 + c**5/20 - c**2. Let q(m) be the third derivative of r(m). Factor q(p).
3*p*(p - 1)
Let c(u) be the third derivative of u**9/30240 - u**8/10080 - u**7/2520 + u**6/360 - u**5/60 + 3*u**2. Let i(h) be the third derivative of c(h). Factor i(o).
2*(o - 1)**2*(o + 1)
Let r(h) be the third derivative of -h**6/270 - 2*h**5/135 - h**4/54 - 7*h**2. Determine x so that r(x) = 0.
-1, 0
Let l = -23/5 + 39/5. Factor l*j**3 + 0*j + 2/5*j**4 + 36/5*j**2 - 54/5.
2*(j - 1)*(j + 3)**3/5
Let j be 0/(-5) - (-2 + (0 - -2)). Let k(y) be the first derivative of 0*y + 1/4*y**4 + 2/3*y**3 + j*y**2 - 4. Factor k(v).
v**2*(v + 2)
Let f(y) be the third derivative of -y**8/2520 - y**7/1260 - y**3/6 - y**2. Let x(i) be the first derivative of f(i). Factor x(h).
-2*h**3*(h + 1)/3
Let d = 0 + -6. Let i(k) = -k**4 + 7*k**3 - 6*k**2. Let c(v) = -v**4 + 6*v**3 - 5*v**2. Let q(n) = d*i(n) + 7*c(n). Factor q(z).
-z**2*(z - 1)*(z + 1)
Suppose i - 3*i = -6. Suppose -3*u - x + 14 = 0, 0 = -i*u - x - 3*x + 29. Factor -2/3*j - 2/3*j**4 + 2/3*j**2 + 0 + 2/3*j**u.
-2*j*(j - 1)**2*(j + 1)/3
Factor 24/5 - 16/5*t**3 + 46/5*t**2 + 2/5*t**4 - 56/5*t.
2*(t - 3)*(t - 2)**2*(t - 1)/5
Let t(m) be the first derivative of -1/16*m**4 + 3 + 1/8*m**2 - 1/2*m + 1/6*m**3. Solve t(u) = 0.
-1, 1, 2
Let m be (-623)/(-445) - (-3)/5. Factor 0 - 2/9*d**m + 2/9*d.
-2*d*(d - 1)/9
Let v(w) be the first derivative of -w**8/80 - 19*w**7/280 - w**6/8 - w**5/40 + w**4/4 - 4*w**3/3 - 1. Let n(i) be the third derivative of v(i). Factor n(r).
-3*(r + 1)**3*(7*r - 2)
Let r(s) be the third derivative of s**6/1260 + s**5/140 + s**4/42 + s**3/3 + 5*s**2. Let f(h) be the first derivative of r(h). Determine a so that f(a) = 0.
-2, -1
Let j(q) = q**2 - 3*q - 1. Let l be j(4). Suppose l*b = -2*u - 2*u + 31, 3*u = 2*b + 2. Let 0*m**b + 2*m - m**5 - 2*m**5 + 5*m**5 - 4*m**3 = 0. What is m?
-1, 0, 1
Let k = 99 - 889/9. What is d in 4/9*d**3 - 4/9*d + 0*d**2 + k*d**4 - 2/9 = 0?
-1, 1
Let u = 0 + 0. Let r be (-2)/(-5) + (-3)/45. Find k, given that r*k**2 + 0 + u*k = 0.
0
Let r be 2/24*(4 - 2). Let s(f) be the first derivative of -1 + r*f**6 + 4/3*f**3 + 1/2*f**2 + 4/5*f**5 + 0*f + 3/2*f**4. Let s(i) = 0. What is i?
-1, 0
Solve 2/9*f + 0 - 2/9*f**3 + 0*f**2 = 0 for f.
-1, 0, 1
Let w(l) be the third derivative of -1/144*l**8 - 2/9*l**5 - 1/9*l**3 + 0 + 0*l - 5/36*l**6 - 3*l**2 - 5/24*l**4 - 1/21*l**7. Factor w(h).
-(h + 1)**4*(7*h + 2)/3
Suppose 13 - 13 = -2*x. Let u(f) be the second derivative of 1/6*f**3 + 1/4*f**2 - 3*f + x + 1/24*f**4. Let u(q) = 0. Calculate q.
-1
Let v(i) be the second derivative of -i**8/20160 + i**6/2160 - i**4/4 + i. Let h(o) be the third derivative of v(o). Suppose h(p) = 0. Calculate p.
-1, 0, 1
Factor -1/5*c**3 + 4/5*c**2 + 2/5 - c.
-(c - 2)*(c - 1)**2/5
Let d be (-1)/(0 - (-3)/(-39)). Suppose -c - c + 1 = z, 5*z = -c - d. Solve -4*i**c + 0*i + 2*i**2 + 2*i = 0.
0, 1
Factor -10*l + 1/2*l**2 + 50.
(l - 10)**2/2
Let o(f) be the first derivative of -f**4/4 - 4*f**3/3 - 2*f**2 - 11. Factor o(x).
-x*(x + 2)**2
Let a be 2*2*7/14. Let k(i) be the first derivative of -a*i - 1/3*i**6 + 6/5*i**5 + 3*i**2 - 2 - 4/3*i**3 - i**4. Determine h so that k(h) = 0.
-1, 1
Find i, given that -4/3*i + 8/3 - 8/3*i**2 + 4/3*i**3 = 0.
-1, 1, 2
Let l(k) be the second derivative of 7/12*k**4 + 1/6*k**6 + 9/20*k**5 + 1/3*k**3 + 0*k**2 + 1/42*k**7 + 0 - 3*k. Solve l(q) = 0.
-2, -1, 0
Suppose -b + 9 = 2*b. Suppose -2*f + 14 = 5*i, 2*f - 12 = b*i - 7*i. Solve -2*l + 2*l**f - 5*l**2 + l**2 = 0 for l.
-1, 0
Suppose l + 5*j - 17 = 0, -4*l - 5*j + 28 + 10 = 0. Let n be 2 + (-7)/(l/(-16)). What is f in -2 - 13*f**2 - 14*f**2 - 27*f**3 - 17*f - n*f**2 + 27*f**4 = 0?
-1/3, 2
Let f be 0 - (-2 + 0/2). Suppose 0 = -2*p + f + 8. Solve 0*j**3 + 0 - 1/2*j**2 + 1/2*j**4 - 1/4*j**p + 1/4*j = 0 for j.
-1, 0, 1
Let v be ((-8)/44)/(4/(-44)). Factor -2/9*h**v + 0*h + 2/9.
-2*(h - 1)*(h + 1)/9
Let u = 1189/5 - 237. Let r = 2/287 + 1712/1435. Let -u + r*m - 2/5*m**2 = 0. What is m?
1, 2
Let d(s) be the second derivative of s**7/90 + s**6/20 + s**5/15 + s**4/6 - 8*s. Let j(f) be the third derivative of d(f). Factor j(i).
4*(i + 1)*(7*i + 2)
Let l = -2369/1068 + 12/89. Let i = -7/12 - l. Let -1/2*j**2 + i*j - 1 = 0. What is j?
1, 2
Let w(i) = -140*i**4 + 7*i**3 + 159*i**2 + 7*i - 5. Let x(h) = -93*h**4 + 5*h**3 + 106*h**2 + 5*h - 3. Let q(v) = 5*w(v) - 7*x(v). Let q(p) = 0. What is p?
-1, -2/7, 2/7, 1
Let t(a) = -6*a**3 + 24*a**2 + 22*a - 8. Let j(v) = 2*v**3 - 8*v**2 - 7*v + 3. Let x(p) = -16*j(p) - 5*t(p). Find w, given that x(w) = 0.
-1, 1, 4
Suppose -2/7*w**3 - 6/7*w - 6/7*w**2 - 2/7 = 0. What is w?
-1
Suppose 10 = 2*f, 15 = -5*z + 4*z + 3*f. Let x(s) be the third derivative of 0*s - 1/160*s**6 + 0*s**5 + z*s**4 - 3*s**2 + 0*s**3 + 0. Factor x(j).
-3*j**3/4
Let g(u) be the second derivative of u**7/14 - u**6/30 + 13*u. Factor g(x).
x**4*(3*x - 1)
Factor 6*j - 3*j - 5*j + 3*j**2 - 4*j - 9.
3*(j - 3)*(j + 1)
