iven that -147/5*o**5 + 48/5*o + d*o**4 - 201/5*o**3 + 12/5 - 69/5*o**2 = 0.
-2/7, 1
Let x(c) be the second derivative of c**5/20 - c**4/2 + 3*c**3/2 - 2*c**2 + 10*c. Find z, given that x(z) = 0.
1, 4
Let n(h) be the first derivative of 1/6*h**6 - 2/3*h**3 + 1/6*h**2 - 7 - 2/3*h**5 + h**4 + 0*h. Determine p so that n(p) = 0.
0, 1/3, 1
Let l(o) = o + 12 + 12 + 0*o - 11. Let w be l(-9). Find u, given that 1/4*u - 1/4*u**2 + 0 - 1/4*u**3 + 1/4*u**w = 0.
-1, 0, 1
Let v(c) be the third derivative of 0*c - 1/270*c**5 - 1/540*c**6 + 0 + 2*c**2 + 0*c**3 + 0*c**4. Factor v(h).
-2*h**2*(h + 1)/9
Factor 2/3*t**2 - 2/3 + 0*t.
2*(t - 1)*(t + 1)/3
Let q(u) = 7*u**5 - 15*u**4 + 9*u**3 - 4*u**2 - 3*u. Let k(n) = 15*n**5 - 31*n**4 + 17*n**3 - 8*n**2 - 7*n. Let j(z) = 3*k(z) - 7*q(z). Factor j(d).
-4*d**2*(d - 1)**3
Let h be 0/2*7/(-28). Let l(o) be the first derivative of 0*o - 2 + 0*o**3 + h*o**2 + 1/22*o**4. Find f such that l(f) = 0.
0
Let t(v) be the third derivative of 0 + 3*v**2 + 0*v + 3/7*v**3 + 1/210*v**5 + 1/14*v**4. Factor t(i).
2*(i + 3)**2/7
Let h(g) be the third derivative of g**5/330 - g**4/132 - 2*g**3/33 + 7*g**2. Factor h(k).
2*(k - 2)*(k + 1)/11
Suppose -4*f + 18 = -4*s + s, 30 = -5*s - 2*f. Let w be ((-6)/(-54))/(s/(-9)). Let 0 - w*x**2 + 2/3*x**3 + 0*x - 1/2*x**4 = 0. What is x?
0, 1/3, 1
Let w(f) = -f**3 + 7*f**2 - 7*f + 8. Let q be w(6). Suppose -3*d - q*d + 30 = 0. Find n such that d - 6*n**2 + 3 + 4*n**3 - 9*n - 3 - 3*n**5 + 8*n**3 = 0.
-2, -1, 1
Let t(l) be the third derivative of l**6/420 + l**5/70 + l**4/28 + l**3/21 - 2*l**2. What is r in t(r) = 0?
-1
Let f(d) be the first derivative of d**4/2 + 10*d**3/3 + 8*d**2 + 8*d + 2. Solve f(o) = 0 for o.
-2, -1
Let a(w) be the first derivative of 1/2*w**2 + 1/3*w**3 + 1/3*w + 1/12*w**4 + 2. Solve a(v) = 0 for v.
-1
Let z(w) be the third derivative of w**9/181440 - w**8/20160 + w**7/5040 - w**6/2160 + w**5/20 - 3*w**2. Let t(m) be the third derivative of z(m). Factor t(s).
(s - 1)**3/3
Factor 2/7*i**2 - 12/7*i + 18/7.
2*(i - 3)**2/7
Let f(c) be the second derivative of -2*c**7/21 + 2*c**6/15 + 3*c**5/5 - 5*c**4/3 + 4*c**3/3 - c. Determine k, given that f(k) = 0.
-2, 0, 1
Let y(s) = -s**4 + s**3 + s**2 + s + 1. Let c(d) = 4*d**4 - 12*d**3 - 5*d**2 - 7*d - 7. Let w(o) = -5*c(o) - 35*y(o). Factor w(f).
5*f**2*(f + 2)*(3*f - 1)
Suppose -2 = -r + 8. Suppose 0 = 5*z + 4*d - 20, 4*z - r = d - 3*d. Factor 2/7*x**2 + z*x - 2/7.
2*(x - 1)*(x + 1)/7
Let m be -1 - 0 - (-324)/4. Let z be m/(-12)*(-1)/4. Solve 5/3*w - 1/3 - w**2 + 4/3*w**4 - z*w**3 = 0.
-1, 1/4, 1
Let k = 7561/1570 + -5/314. What is l in 0 + k*l**3 + 2/5*l**2 - 2/5*l = 0?
-1/3, 0, 1/4
Let c(y) be the second derivative of y**9/1512 - y**8/360 + y**7/252 - y**6/540 + y**3/6 - y. Let p(z) be the second derivative of c(z). Factor p(b).
2*b**2*(b - 1)**2*(3*b - 1)/3
Let l(d) be the third derivative of d**9/5040 + d**8/2800 + d**3/6 + d**2. Let r(c) be the first derivative of l(c). Factor r(q).
3*q**4*(q + 1)/5
What is b in -2/3*b**3 - b**5 + 5/3*b - 1/3 - 2*b**2 + 7/3*b**4 = 0?
-1, 1/3, 1
Factor -4*y**2 - 24 - 6*y - y**2 - y**2 + 9*y**2.
3*(y - 4)*(y + 2)
Suppose -x - 3*i + 8 = 0, -2*i - 30 = -5*x - 7*i. Find n such that 4*n**5 + 3*n**4 - 2*n**2 - x + 4 - 3*n + 2*n**3 - 3*n**5 = 0.
-1, 1
Factor 0 + 2/17*q + 2/17*q**2.
2*q*(q + 1)/17
Let s be 7/5 + 2/(-5). Let d = 5 - s. Find f such that 2*f**2 - 2*f**2 - 3*f**4 - 2*f**2 + 1 + 4*f**d = 0.
-1, 1
Let n(l) be the third derivative of -l**7/840 + l**6/180 - l**5/120 - l**3/3 + 3*l**2. Let k(s) be the first derivative of n(s). Solve k(r) = 0 for r.
0, 1
Let l(u) be the first derivative of -u**4/16 + 3*u**2/8 + u/2 + 8. Factor l(p).
-(p - 2)*(p + 1)**2/4
Let h be (-86)/(-60) + ((-10)/(-6) - 3). Let i(j) be the first derivative of h*j**4 + 0*j + 3 + 0*j**3 - 1/5*j**2. Suppose i(m) = 0. What is m?
-1, 0, 1
Suppose 0 = x + x - 6. What is n in -6*n**4 - 1 - 5*n**2 - 4*n**5 - 6*n + 4*n**3 + 6*n**x - 3 + 15*n**2 = 0?
-2, -1, -1/2, 1
Let d = 4 - 2. Let s(u) = 3*u - 2. Let l be s(d). Let -2*a**l + 2*a - 2*a**3 - 3*a + 3*a + 2*a**2 = 0. Calculate a.
-1, 0, 1
Suppose -5 + 1 = v. Let g be (-1)/v + 27/84. Factor -2/7*m + 0 - g*m**2.
-2*m*(2*m + 1)/7
Solve 8/13 - 8*c + 26*c**2 = 0.
2/13
Suppose 0 = 3*w - 7*w - 12. Let g be -2 + w*2*-1. What is n in -2/7*n**g + 2/7*n - 6/7*n**2 + 0 + 6/7*n**3 = 0?
0, 1
Let g(s) be the second derivative of -1/2*s**2 + 0 - s + 7/4*s**3 - 27/20*s**6 + 27/8*s**5 - 27/8*s**4. Factor g(r).
-(3*r - 2)*(3*r - 1)**3/2
Let s(c) be the third derivative of c**8/1176 - 8*c**7/735 + 4*c**6/105 + 4*c**2. Solve s(k) = 0.
0, 4
Let m(z) be the second derivative of -125*z**7/63 - 5*z**6/3 + 2*z**4/9 + z. Determine o, given that m(o) = 0.
-2/5, 0, 1/5
Let r be 0 + 1 + 10/5. Suppose 0 = -0*i + r*i. Factor 1/3*o**3 - 1/3*o**4 + 0 + i*o + 0*o**2.
-o**3*(o - 1)/3
Suppose -5*k = -5*h + 75, 4*k = -0*k + h - 51. Let g be 4/(-10)*15/k. Factor -1/4*f + 1/4*f**2 - g.
(f - 2)*(f + 1)/4
Let s be (-93)/(-45) + (-2)/5. Factor -1/3*f**3 - 8/3*f**4 - 1/3 - 4/3*f**5 + s*f**2 + 1/3*f.
-(f + 1)**3*(2*f - 1)**2/3
Factor 111*c**3 - c**2 + 3*c - 109*c**3 - 4*c.
c*(c - 1)*(2*c + 1)
Let n(l) be the second derivative of 3*l - 1/100*l**5 - 1/15*l**4 - 1/5*l**2 + 0 - 1/6*l**3. Factor n(g).
-(g + 1)**2*(g + 2)/5
Let o be 1*5/300*(1 - 0). Let c(b) be the third derivative of 0*b - 2*b**2 + 0*b**3 + 0 - 1/12*b**4 + 1/120*b**6 + o*b**5. Solve c(z) = 0 for z.
-2, 0, 1
Let -1/5*s**2 + 2/5 - 1/5*s = 0. What is s?
-2, 1
Let d(u) be the second derivative of -1/9*u**3 - 1/63*u**7 - 6*u + 1/3*u**2 + 0 + 1/45*u**6 + 1/15*u**5 - 1/9*u**4. Determine o, given that d(o) = 0.
-1, 1
Let r(i) be the first derivative of -i**5/5 + 7*i**3/3 - 3*i**2 + 28. Determine x so that r(x) = 0.
-3, 0, 1, 2
Suppose i + 3*i = -24. Let b(g) = -g**4 - g**2 + 0*g**2 + g - 2*g. Let k(r) = -4*r**4 - 6*r**3 - 8*r. Let z(t) = i*b(t) + k(t). Factor z(o).
2*o*(o - 1)**3
Let p(q) = -7*q**2 - q - 7. Let a(s) = -6*s**2 - 1 - 2 + 3*s**2. Suppose -12 = -2*l - 4. Let h(u) = l*p(u) - 10*a(u). What is i in h(i) = 0?
1
Let o be 1/1 + (0 - -2). Factor 4*y**3 + 2*y**2 + 2*y**2 - 3*y**2 - o*y**3.
y**2*(y + 1)
Let f(t) be the second derivative of 0 + 0*t**2 - 8/21*t**3 - 3/35*t**5 - 2/7*t**4 + 4*t - 1/105*t**6. Determine c so that f(c) = 0.
-2, 0
Suppose 0 = -v - v - 32. Let f = 16 + v. What is g in f + 5/4*g**4 + 0*g - 1/2*g**5 + 0*g**2 - 1/2*g**3 = 0?
0, 1/2, 2
Let r = 33/58 + -2/29. Let h = 636 + -636. Find k such that 0*k**2 + 0*k**4 + h*k - r*k**5 + 0 + 1/2*k**3 = 0.
-1, 0, 1
Suppose x + 2 = 4. Factor 2 + y**x + 5*y**2 - 5*y**2 - 3*y.
(y - 2)*(y - 1)
Let c(w) be the second derivative of -w**4/3 + 8*w**2 + 56*w. What is x in c(x) = 0?
-2, 2
Let n(c) be the second derivative of c**5/50 - c**3/15 + 5*c. Let n(z) = 0. What is z?
-1, 0, 1
Let s be 3/((-60)/(-52)) + -2. Let i be (6/(-30))/((-1)/3). Factor s*o**2 + 0 + i*o.
3*o*(o + 1)/5
Let -1/6 - 1/6*h**2 + 1/3*h = 0. Calculate h.
1
Factor 0*u**4 + 0*u**2 - 2/5*u**3 + 0 + 0*u + 2/5*u**5.
2*u**3*(u - 1)*(u + 1)/5
Suppose 5*p + 1 = -2*c - 6, 4*c = 3*p + 25. Let w be ((-1)/6)/(c/(-16)). Factor -w*g**2 + 0 - 2/3*g.
-2*g*(g + 1)/3
Let y(f) be the first derivative of -2/21*f**3 - 1/14*f**2 + 0*f - 6 - 1/28*f**4. Find p such that y(p) = 0.
-1, 0
Factor -5/4*j**3 + 3/4*j + 0 - j**2 + 1/2*j**4.
j*(j - 3)*(j + 1)*(2*j - 1)/4
Let l(k) be the third derivative of k**6/900 - k**5/450 - k**4/90 - 4*k**2. Determine w, given that l(w) = 0.
-1, 0, 2
Find x such that 24/25*x - 2/25*x**3 + 32/25 + 0*x**2 = 0.
-2, 4
Suppose -5*m + 10 = -0*m. Factor n**3 - n**3 + 2*n**3 + 1 - 3*n**m.
(n - 1)**2*(2*n + 1)
Let r(n) be the first derivative of 1/11*n**2 + 0*n - 2 - 2/33*n**3. Solve r(k) = 0.
0, 1
Let s = 26 + -26. Let x(c) be the third derivative of 1/48*c**4 - 1/12*c**3 + s + 0*c - 2*c**2 - 1/240*c**6 + 1/120*c**5. Suppose x(o) = 0. Calculate o.
-1, 1
Let p(d) = d**3 - 3*d**2 + 2*d + 1. Let y be p(2). Let h(i) be the first derivative of y + 2*i + 4/3*i**3 - 3*i**2 - 6/5*i**5 + 1/3*i**6 + i**4. Factor h(v).
2*(v - 1)**4*(v + 1)
Suppose -6*p + 7 = -23. Let k(c) be the second derivative of 0 + 5/24*c**4 - 1/40*c**p - 1/4*c**3 + c - 9/4*c**2. Determine r so that k(r) = 0.
-1, 3
Let h(f) = -f**4 + f**3 + f**2 + f + 1. Let r(w) = 27*w**4 - 53*w**3 + 33*w**2 