 g(f) = 0 for f.
-2, -1, 1, 2
Let m(t) be the first derivative of -2*t**5/75 + 13. Factor m(c).
-2*c**4/15
Let u(g) be the second derivative of -g**5/210 - g**4/42 - g**3/21 + 3*g**2/2 - g. Let p(t) be the first derivative of u(t). Factor p(f).
-2*(f + 1)**2/7
Let t(g) = -98*g**4 - 60*g**3 - 12*g**2 - 4*g. Let a(s) = -196*s**4 - 119*s**3 - 23*s**2 - 7*s. Let f(j) = 4*a(j) - 7*t(j). Determine i, given that f(i) = 0.
-2/7, 0
Suppose 4*f + g - 12 = 0, -5*f + 2*g + 15 = g. Suppose 0 = -f*z + 9. Factor 0*i**2 + 2/5*i**4 + 2/5*i**5 + 0*i**z + 0*i + 0.
2*i**4*(i + 1)/5
Let o = 17 - 14. Let n be 0/o + (-4)/(-10). Factor n*s - 4/5*s**2 + 0 - 8/5*s**4 - 14/5*s**3.
-2*s*(s + 1)**2*(4*s - 1)/5
Let r(a) be the third derivative of -a**6/240 - a**5/60 - 42*a**2. Find n, given that r(n) = 0.
-2, 0
Let w be (-102)/(-30) + (-4)/10. Let y(a) = -a + 6. Let j be y(6). Factor -c**2 + 1/2*c**w + j + 1/2*c.
c*(c - 1)**2/2
Let h = 2 + 2. Suppose -v + 16 = 4*s - 5*v, -5*s - h*v + 20 = 0. Factor 0 + 2/3*a**s + 2/3*a - 2/3*a**2 - 2/3*a**3.
2*a*(a - 1)**2*(a + 1)/3
Let o be (-4068)/(-1540) + -3*1. Let i = -4/55 - o. Let -6/7*x**3 - i*x + 2/7 - 10/7*x**2 = 0. What is x?
-1, 1/3
Let o(l) be the second derivative of -l**5/360 + l**4/144 + l**3/18 + l**2/2 + 5*l. Let k(i) be the first derivative of o(i). Let k(v) = 0. Calculate v.
-1, 2
Suppose -21*b**4 + b**2 - 9*b + 93*b**3 + 14*b**2 - 60*b**5 - 9*b + 6 - 15*b = 0. Calculate b.
-1, 1/4, 2/5, 1
Factor 2/3*d**3 - 4/9*d**2 - 2/9*d + 0.
2*d*(d - 1)*(3*d + 1)/9
Let d(s) be the second derivative of -7*s + 2/15*s**6 + 3/5*s**5 - 4*s**2 + 1/3*s**4 - 2*s**3 + 0. Factor d(n).
4*(n - 1)*(n + 1)**2*(n + 2)
Let w(t) be the third derivative of -1/27*t**4 + 5*t**2 + 0 - 1/1080*t**6 + 0*t + 1/108*t**5 + 2/27*t**3. Find y such that w(y) = 0.
1, 2
Let y(l) be the third derivative of -l**5/180 - l**4/6 - 2*l**3 + 26*l**2. Find n, given that y(n) = 0.
-6
Let q be (-2)/19 - 78/(-19). Let i(j) be the third derivative of -4/15*j**6 + 1/3*j**3 - j**2 + 0 + 7/12*j**q + 0*j + 4/15*j**5. Find l such that i(l) = 0.
-1/4, 1
Let a(f) be the third derivative of -4*f**2 + 0 - 7/30*f**5 + 0*f**3 - 1/35*f**7 + 0*f - 1/6*f**4 - 2/15*f**6. Factor a(g).
-2*g*(g + 1)**2*(3*g + 2)
Let n(j) be the second derivative of -j**7/168 + j**6/30 - j**5/20 - j**4/24 + 5*j**3/24 - j**2/4 - 7*j. Factor n(y).
-(y - 2)*(y - 1)**3*(y + 1)/4
Let i(l) be the second derivative of 1/90*l**6 + 0*l**2 + 0 + 0*l**3 - l + 1/15*l**5 + 1/9*l**4. Factor i(r).
r**2*(r + 2)**2/3
Suppose 10 = 12*h - 10*h. Let a(t) be the second derivative of -2*t - 3/20*t**h + 1/30*t**6 + 0*t**2 - 1/6*t**3 + 1/4*t**4 + 0. Find k, given that a(k) = 0.
0, 1
Let n(b) be the second derivative of -7*b**5/25 - 4*b**4/5 - 2*b**3/5 + 4*b**2/5 - 4*b. What is j in n(j) = 0?
-1, 2/7
What is t in 3*t**4 + 5*t**3 + 0*t**4 + 2*t**4 = 0?
-1, 0
Factor 3 - 3*r**3 + 18*r**2 + 6 + 15 - 36*r.
-3*(r - 2)**3
Let t(v) be the third derivative of 0*v**3 - 1/735*v**7 + 0 + 1/210*v**5 + 0*v + 1/84*v**4 - 2*v**2 - 1/420*v**6. Let t(p) = 0. Calculate p.
-1, 0, 1
Let f(m) be the third derivative of m**6/420 + m**5/105 - m**4/84 - 2*m**3/21 + 9*m**2. Factor f(p).
2*(p - 1)*(p + 1)*(p + 2)/7
Let d = 11 + -14. Let w(c) = 5*c**2 - c + 3. Let l(a) = -9*a**2 + a - 5. Let z(v) = d*l(v) - 5*w(v). Factor z(y).
2*y*(y + 1)
Let v(p) = p**3 - 5*p**2 + 2*p - 9. Let s be v(5). Factor 11/4*b**2 + 3/4*b**3 + 3*b + s.
(b + 1)*(b + 2)*(3*b + 2)/4
Let j(m) = -3*m**2 - 2*m - 1. Let i(k) = k**2. Let t(l) = l + 4. Let c be t(-7). Let h(g) = c*j(g) - 6*i(g). Factor h(q).
3*(q + 1)**2
Let o(u) = -2*u - 5. Let i be o(-5). Factor -d**2 + 3*d + d**4 - d**2 - 3*d**3 + i*d**2 - 4*d.
d*(d - 1)**3
Suppose 18*r = 135 - 45. Determine d so that -8/7*d**4 + 12/7*d**3 - 8/7*d**2 + 0 + 2/7*d + 2/7*d**r = 0.
0, 1
Factor -8/3*y**4 - 2/3*y - 4*y**3 + 0 - 2/3*y**5 - 8/3*y**2.
-2*y*(y + 1)**4/3
Let m(z) = z**3 - 5*z**2 + 6*z - 3. Let o be 8/1*2/4. Let r be m(o). Find a such that -1/4*a + 1/4*a**4 + 1/2*a**3 - 1/2*a**2 - 1/4*a**r + 1/4 = 0.
-1, 1
Let n(c) = 4*c**3 + 12*c**2 + 20*c + 2. Let s(a) = -21*a**3 - 60*a**2 - 101*a - 11. Let w(z) = -11*n(z) - 2*s(z). Suppose w(m) = 0. Calculate m.
-3, 0
Let z(h) be the third derivative of h**5/100 + 3*h**4/20 + 9*h**3/10 - 13*h**2. Solve z(i) = 0 for i.
-3
Let h = 243/356 - -6/89. Let c be 2/4 - 3 - -3. Factor -c - 1/4*y**2 - h*y.
-(y + 1)*(y + 2)/4
Let d(b) be the second derivative of -2*b**6/15 + 2*b**4/3 - 2*b**2 - 6*b. Solve d(j) = 0.
-1, 1
Determine v, given that 4/3*v**2 - 4/3*v**4 + 0 + 0*v - 10/3*v**3 + 10/3*v**5 = 0.
-1, 0, 2/5, 1
Suppose -i + 2*k + 6 = 0, 0 = 2*k - 0*k + 4. Let 21*v**4 + 5*v**5 + 47*v + 12 + v + 57*v**3 + 75*v**2 - i*v**5 = 0. What is v?
-2, -1
Suppose t - 7 = 2*t - f, -4*t + f - 19 = 0. Let m be (-15)/(-35) + t/42. Determine w so that 0 - 1/3*w + m*w**2 = 0.
0, 1
Let j(n) be the second derivative of n**4/6 + 2*n**3/3 + 21*n. Factor j(q).
2*q*(q + 2)
Let y(x) be the first derivative of x**6/8 - 3*x**5/20 - 3*x**4/2 - 2*x**3 - 3*x**2 - 10. Let k(w) be the second derivative of y(w). What is m in k(m) = 0?
-1, -2/5, 2
Suppose 4*w - 1 = -s + 5, 4*w - 3*s - 14 = 0. Let -j**4 + j**2 - 3*j**2 + 7*j**w - 4*j**2 = 0. Calculate j.
-1, 0, 1
Let f(x) be the first derivative of -4*x**5/5 + 3*x**4 - 8*x**3/3 - 1. Factor f(v).
-4*v**2*(v - 2)*(v - 1)
Let u(h) = h**2 - 9*h + 4. Let i be u(9). Let m(f) be the first derivative of 0*f - 1/10*f**5 + i + 0*f**4 + 0*f**2 + 0*f**3 - 1/6*f**6. Solve m(z) = 0 for z.
-1/2, 0
Factor 15*z**3 - 25*z**2 + 25*z**4 - 20*z + 1 - 1 - 12*z**5 + 17*z**5.
5*z*(z - 1)*(z + 1)**2*(z + 4)
Let b(u) be the first derivative of -1/2*u + 1/10*u**5 - 2 + 0*u**3 + 1/4*u**4 - 1/2*u**2. Find f such that b(f) = 0.
-1, 1
Let f(u) be the third derivative of u**8/168 + u**7/15 + 17*u**6/60 + 17*u**5/30 + u**4/2 - 4*u**2. What is i in f(i) = 0?
-3, -2, -1, 0
Let g(c) be the first derivative of c**5/18 + 7*c**4/54 + 2*c**3/27 - c + 2. Let b(d) be the first derivative of g(d). Factor b(l).
2*l*(l + 1)*(5*l + 2)/9
Suppose 0 = o - 4 + 2. Let z(s) = s**2 - 4*s + 4. Let t(v) = v**2 - 4*v + 4. Let h(m) = o*z(m) - 3*t(m). Determine c, given that h(c) = 0.
2
Let x(t) = 9*t**5 + 21*t**4 + 21*t**3 - 19*t**2 + 28*t + 5. Let m(f) = 2*f**5 + 5*f**4 + 5*f**3 - 5*f**2 + 7*f + 1. Let w(r) = 26*m(r) - 6*x(r). Factor w(i).
-2*(i - 1)**4*(i + 2)
Let d(o) be the first derivative of 2*o**5/3 - o**4/2 - 4*o**3/9 + 2. Factor d(l).
2*l**2*(l - 1)*(5*l + 2)/3
Let o = 781139/210980 - 2058/685. Let l = 4/77 + o. Factor l*g**4 - 1/4*g**2 + 0 + 0*g + 1/2*g**3.
g**2*(g + 1)*(3*g - 1)/4
Let o be (-3 - 1)/((-8)/20). Suppose 4*y = -y + o. Factor 0*a**y + 1/2*a**3 + 0 - 1/2*a.
a*(a - 1)*(a + 1)/2
Let v = 48 - 46. Suppose 5*b + 0*b = 0, -2*f - 2*b = 0. Let 0*y - 1/2*y**4 + 1/2*y**3 + f + y**v = 0. What is y?
-1, 0, 2
Let v(q) be the second derivative of q**6/225 + q**5/30 + 7*q**4/90 + q**3/15 + 31*q. Factor v(c).
2*c*(c + 1)**2*(c + 3)/15
Let q(z) be the first derivative of -z**9/144 - z**8/280 + z**3/3 + 1. Let k(c) be the third derivative of q(c). Factor k(b).
-3*b**4*(7*b + 2)
Determine w, given that 2*w**2 - 2/3*w + 0 - 2*w**3 + 2/3*w**4 = 0.
0, 1
Let h(w) = -w + 1. Let p be h(-1). Factor -2*f**3 + f + f**5 + 2*f - p*f.
f*(f - 1)**2*(f + 1)**2
Let w(d) = -d + 12. Let y be w(8). Factor m**3 - 3 + 3 - 7*m**5 - 3*m**3 - 9*m**y.
-m**3*(m + 1)*(7*m + 2)
Find b, given that -2/3*b - b**2 - 1/3*b**3 + 0 = 0.
-2, -1, 0
Factor 2/7*v**3 - 10/7*v - 4/7*v**2 + 12/7.
2*(v - 3)*(v - 1)*(v + 2)/7
Suppose 0 = -2*z + z + 101. Let 27*a + 28*a**3 + 11*a**2 + 11*a**3 + 36*a**3 - z*a**2 = 0. What is a?
0, 3/5
Let m(k) = k**2 + 12*k - 8. Let c be m(-13). Factor -a**3 - 3*a**4 - c*a**3 + 2*a + 0*a**2 + 3*a**2 + 4*a.
-3*a*(a - 1)*(a + 1)*(a + 2)
Let p = 120 - 114. Let t(j) be the third derivative of 0*j**4 - 1/30*j**5 + 1/60*j**p + 0*j**3 + 0*j - 2*j**2 + 0. Find a, given that t(a) = 0.
0, 1
Find p such that -8/7*p**3 - 4/7 - 20/7*p**2 - 16/7*p = 0.
-1, -1/2
Let v(d) be the third derivative of -d**8/672 - d**7/140 - d**6/80 - d**5/120 + 3*d**2. Find j such that v(j) = 0.
-1, 0
Let d(c) be the second derivative of -2*c + 1/27*c**3 + 1/135*c**6 + 0 - 1/90*c**5 - 1/54*c**4 + 0*c**2. Factor d(v).
2*v*(v - 1)**2*(v + 1)/9
Suppose -18 = -3*f - 3. Let -2/9 - 20/9*l**2 + 