f) = 0.
-2, -1, 0, 1
Let a(s) be the first derivative of -7/10*s**6 + 14/5*s**3 + 9/10*s**2 - 6/5*s + 3 + 3/5*s**4 - 36/25*s**5. Find r such that a(r) = 0.
-1, 2/7, 1
Let m(z) = z + 7. Let b be m(-5). Factor -2*f + 3*f**2 - 6*f**b - 1 + 2*f**2.
-(f + 1)**2
Let b be 2*4*4/96. Solve 1/3*m**3 - b*m + 0 + 0*m**2 = 0 for m.
-1, 0, 1
Let f(t) be the first derivative of 0*t**3 + 2 + 3*t**2 - 4*t - 1/2*t**4. Factor f(i).
-2*(i - 1)**2*(i + 2)
Let w(n) be the third derivative of n**8/28 - 8*n**7/105 - n**6/15 + 4*n**5/15 - n**4/6 - 5*n**2. Solve w(v) = 0 for v.
-1, 0, 1/3, 1
Let p(h) be the first derivative of -1/48*h**4 + h**2 - 1/60*h**5 + 0*h - 1 + 0*h**3. Let v(k) be the second derivative of p(k). Factor v(t).
-t*(2*t + 1)/2
Solve 7/4*m**2 + 1/4*m**3 - 1/4*m - 7/4 = 0 for m.
-7, -1, 1
Suppose 5*r - 3 = h, 4*h + 5*r + 87 = -0*h. Let o be (5/(-2))/(9/h). Determine d so that -d**2 + 4*d**2 - o*d + 2*d = 0.
0, 1
Factor 4/5*r**3 - 4/5*r**2 + 0 - 8/5*r.
4*r*(r - 2)*(r + 1)/5
Let v(i) = 5*i**4 - 12*i**3 - 16*i**2. Let f(k) = k**4 + k**2. Let g(d) = -4*f(d) - v(d). Let g(x) = 0. Calculate x.
-2/3, 0, 2
Let o = 242/21 - 130/21. Find i, given that 2/3*i**3 - 14/3*i**2 + o*i + 32/3 = 0.
-1, 4
Let j(i) be the third derivative of i**5/120 + i**4/24 + i**3/12 - 14*i**2. Factor j(p).
(p + 1)**2/2
Let m(h) be the third derivative of h**7/10 - 13*h**6/120 - 19*h**5/60 + 13*h**4/24 - h**3/3 - 2*h**2. Solve m(y) = 0.
-1, 2/7, 1/3, 1
Let o(y) be the first derivative of -1/10*y**4 + 1/15*y**6 + 0*y - 2/15*y**3 + 1 + 0*y**2 + 2/25*y**5. Factor o(s).
2*s**2*(s - 1)*(s + 1)**2/5
Let i(a) be the first derivative of -a**4/4 + a**3 - 5*a + 3. Let d(s) be the first derivative of i(s). Factor d(p).
-3*p*(p - 2)
Let j be (-15)/150*10/(-4). Factor 0 + j*o**2 - 1/4*o**4 - 1/4*o**3 + 1/4*o.
-o*(o - 1)*(o + 1)**2/4
Let g = -17/12 - -7/4. Let d(z) be the first derivative of 0*z**2 + g*z**3 + 2 + 0*z. Factor d(t).
t**2
Factor 3/5*c**2 + 0 + 0*c.
3*c**2/5
Let -c - 2 - 3*c**2 - 3*c**2 + 7*c**2 = 0. Calculate c.
-1, 2
Let i(w) be the second derivative of -w**8/336 + w**6/60 - w**4/24 + 3*w**2/2 - w. Let d(y) be the first derivative of i(y). Solve d(h) = 0.
-1, 0, 1
Let u(z) = -z**2 - 12*z - 6. Let x(g) = 9*g + 3*g + 6*g + 0 + 9 + 2*g**2. Let m(w) = 7*u(w) + 5*x(w). Factor m(t).
3*(t + 1)**2
Let p be (-12)/(-18) - (-2)/(-3). Let q(n) be the third derivative of 0 + p*n**5 - n**2 + 0*n**3 - 1/84*n**4 + 0*n + 1/420*n**6. Let q(r) = 0. Calculate r.
-1, 0, 1
Let p(n) = -11*n**2 + 24*n + 7. Let z(s) = -4*s - 2*s - 2*s - 2 + 4*s**2. Let y(h) = 6*p(h) + 17*z(h). Factor y(g).
2*(g + 2)**2
Suppose 10 = 5*i - 2*m, 2*i - 3*m + 4*m = 4. Determine q so that 0*q - 1/3 + 1/3*q**i = 0.
-1, 1
Let b = 6 - 12. Let c(j) = -j**4 - j**2 - 2. Let u(x) = -7*x**4 - x**3 - 6*x**2 + x - 13. Let m(v) = b*u(v) + 39*c(v). Factor m(i).
3*i*(i - 1)*(i + 1)*(i + 2)
Let f be -18*8/120*10/(-14). Determine b so that 3/7*b**2 + 0 - f*b = 0.
0, 2
Let s be ((-2)/(-12))/((-2)/6*-1). Factor 1/2*t**2 + 0 + s*t.
t*(t + 1)/2
Let i(c) be the first derivative of -c**4/24 + c**3/9 + 7*c**2/12 + 2*c/3 - 13. Suppose i(p) = 0. What is p?
-1, 4
Suppose 4*y + 7 - 16 = 3*n, 5*y - 3*n - 9 = 0. Let v = -4 - -6. Factor 2/5*j**v + y*j + 0.
2*j**2/5
Let r(g) be the third derivative of g**5/180 + g**4/36 - 5*g**2. Find a, given that r(a) = 0.
-2, 0
Let x be (2/(-5))/((-3)/15). Factor 2*v**2 + x*v - 2*v**2 - 2*v**3 - v + v**5.
v*(v - 1)**2*(v + 1)**2
Determine p, given that p**4 + 12*p - 2*p**3 + 3*p**2 - 10*p - 5*p**2 + p**4 = 0.
-1, 0, 1
Let p(q) be the first derivative of -5*q**3/3 + 5*q - 2. Let n(a) = -6*a**2 + 6*a**2 - a**2 + 4 - 3. Let s(h) = 4*n(h) - p(h). Factor s(f).
(f - 1)*(f + 1)
Factor -2*r**2 - 3*r**3 - 20 + 7*r**3 + r**3 + 17*r**2.
5*(r - 1)*(r + 2)**2
Find f, given that 2/7*f**4 + 0*f**3 + 8/7 + 0*f - 10/7*f**2 = 0.
-2, -1, 1, 2
Let q = 4162607 + -9819589253/2359. Let p = q - -2/337. Factor 18/7*t**3 + 0 + p*t - 8/7*t**4 - 12/7*t**2.
-2*t*(t - 1)**2*(4*t - 1)/7
Let y(x) be the second derivative of x**7/42 - x**6/6 + 3*x**5/10 + x**4/3 - 4*x**3/3 + 4*x. Factor y(t).
t*(t - 2)**3*(t + 1)
Let h(a) be the second derivative of 0*a**2 + 0*a**4 + 0 + 4/15*a**6 + 1/5*a**5 - 6*a + 2/21*a**7 + 0*a**3. Factor h(k).
4*k**3*(k + 1)**2
Suppose -a = 6 - 2. Let i be (6/a)/(-3*1). Solve i + 1/2*k**2 + k = 0 for k.
-1
Let z = 1 + 1. Let w(m) be the first derivative of -2/3*m**3 - 2 + 0*m**z - 1/6*m**4 + 8/3*m. Determine u so that w(u) = 0.
-2, 1
Suppose -1 = -5*j + 9. Let n(f) = -5*f**3 - f**2 - f - 1. Let t be n(-1). Find z, given that 1 - z - 1 - t*z**j = 0.
-1/4, 0
Let r be (-7)/2 + 3/6. Let i be (r + 2)*2/(-1). What is o in 2*o**3 + o**4 + 2*o + 6*o**i + 1 - 6*o**3 - 6*o = 0?
1
Let w(z) be the second derivative of z**5/10 + z**4/6 - 5*z**3/3 + 3*z**2 - z. Factor w(h).
2*(h - 1)**2*(h + 3)
Let b(m) be the second derivative of m**7/168 + 15*m. Factor b(d).
d**5/4
Let w be (-1 + -2)/((-27)/18). Suppose -1 - 5*l**w + 2*l**2 - 5*l + 3 = 0. What is l?
-2, 1/3
Let x(c) be the second derivative of -c**5/90 + 2*c**4/27 - c**3/9 + 14*c. What is y in x(y) = 0?
0, 1, 3
Let d(s) be the second derivative of -s**6/135 - s**5/30 - s**4/27 + 16*s. Determine m, given that d(m) = 0.
-2, -1, 0
Let d(l) be the first derivative of l**6/6 + 6*l**5/5 + 7*l**4/2 + 16*l**3/3 + 9*l**2/2 + 2*l + 13. Factor d(h).
(h + 1)**4*(h + 2)
Let v(j) be the second derivative of j**5/40 + j**4/24 - j**3/6 - 2*j. Let v(w) = 0. What is w?
-2, 0, 1
Let s(f) be the third derivative of -f**6/600 - f**5/150 - f**4/120 + 21*f**2. Solve s(n) = 0.
-1, 0
Let v(t) = t**2 - 6*t. Let w be v(6). Let q(d) be the second derivative of 0 + 1/15*d**3 - 1/30*d**4 - 2*d + 1/75*d**6 - 1/50*d**5 + w*d**2. Factor q(y).
2*y*(y - 1)**2*(y + 1)/5
Determine z so that -4/3 - 10/9*z - 2/9*z**2 = 0.
-3, -2
Let c(j) be the second derivative of j**7/840 + j**6/80 + j**5/20 - 2*j**4/3 + 3*j. Let q(b) be the third derivative of c(b). Factor q(p).
3*(p + 1)*(p + 2)
Let o(c) be the third derivative of 0*c - 2*c**2 - 1/75*c**5 + 1/150*c**6 - 1/15*c**3 + 0 + 1/840*c**8 - 1/20*c**4 + 1/175*c**7. Factor o(k).
2*(k - 1)*(k + 1)**4/5
Let r(w) = w**3 - 9*w**2 - 5*w + 8. Let u be r(9). Let h = 52 + u. Suppose 7*c**3 + 6 - 3*c**3 + h*c + 12*c**2 - c**3 = 0. What is c?
-2, -1
Let b(z) = -z**3 + 5*z**2 - 2. Let n be b(5). Let x be n/5 - (-186)/15. Factor -a**2 + 9*a**2 + 8*a**4 - 8*a + 6*a - x*a**3 - 2*a**5.
-2*a*(a - 1)**4
Let l be (2/((-12)/9))/(3/(-6)). Find j such that 0*j**2 + 1/5*j**4 + 1/5*j**5 + 0 + 0*j - 2/5*j**l = 0.
-2, 0, 1
Suppose 9*p = 22 + 14. Determine w so that -4/3*w + 4/3 + 1/3*w**p - w**2 + 2/3*w**3 = 0.
-2, 1
Let v be (-2 + 36/14)/((-63)/(-49)). Let w(y) be the first derivative of -1/6*y**4 + 4/3*y - v*y**3 + 3 + 1/3*y**2. What is g in w(g) = 0?
-2, -1, 1
Let h(b) = -6*b**5 - 24*b**4 - 27*b**3 - 33*b**2 + 3*b. Let a(f) = 3*f**5 + 12*f**4 + 14*f**3 + 16*f**2 - f. Let q(n) = 9*a(n) + 4*h(n). Factor q(g).
3*g*(g + 1)**4
Let p(x) be the third derivative of -x**6/360 + x**5/180 - 2*x**2. Suppose p(m) = 0. Calculate m.
0, 1
Let b(q) be the first derivative of q**6/75 - 3*q**5/50 + q**4/15 - 3*q - 4. Let s(x) be the first derivative of b(x). Factor s(y).
2*y**2*(y - 2)*(y - 1)/5
Suppose -5*n - z + 7 = 0, 3*n - 4*n + z + 5 = 0. Factor -n*r + 2/3*r**2 + 4/3.
2*(r - 2)*(r - 1)/3
Let l(m) be the third derivative of -m**7/735 - 4*m**2. Factor l(o).
-2*o**4/7
Let o(b) be the first derivative of 3*b**5/5 + 3*b**4/2 - b**3 - 3*b**2 + 17. Factor o(l).
3*l*(l - 1)*(l + 1)*(l + 2)
Let 0*d**2 + 0 + 0*d - 1/4*d**3 - 1/4*d**4 = 0. What is d?
-1, 0
Let c(k) be the first derivative of k**6/120 - k**5/10 + 3*k**4/8 - 4*k**3/3 - 2. Let l(u) be the third derivative of c(u). Factor l(x).
3*(x - 3)*(x - 1)
Solve -3/4*v - 3/4 + 3/4*v**2 + 3/4*v**3 = 0.
-1, 1
Let p(q) be the third derivative of 2*q**7/105 - 4*q**6/15 + 22*q**5/15 - 4*q**4 + 6*q**3 - 7*q**2. Suppose p(n) = 0. What is n?
1, 3
Solve -4/5*t**2 - 8/5*t - 4/5 = 0 for t.
-1
Suppose -38*a = -21*a - 34. Factor 0 - 6/11*v**3 - 2/11*v**a - 6/11*v**4 + 0*v - 2/11*v**5.
-2*v**2*(v + 1)**3/11
Suppose 0 = b - 2*b + 2. Suppose -w = -2*w + b. Factor 5*i**w - 10*i - 14*i**3 + 15*i**2 - 4*i**5 + 10*i**4 + 2 - 6*i**3 + 2*i**5.
-2*(i - 1)**5
Let c be (7 - 10)*2/(-3). Suppose 3*q - c*q**2 