 of -8*r**5/5 - 3*r**4 + 12*r**3 - 2*r**2 - 12*r + 13. Determine x so that t(x) = 0.
-3, -1/2, 1
Suppose -3*o = -2*j + 7*j + 37, 2*o = -4*j - 28. Let s = o + 7. Factor 0*p**3 + s*p**2 + 4*p**3 + 2*p**4 - 3*p**3 - 4*p**2.
p**2*(p + 1)*(2*p - 1)
Suppose -24*k - 19*k - 48 - 2*k**2 - 2*k**2 + 15*k = 0. Calculate k.
-4, -3
Let m(p) be the third derivative of -7*p**2 + 1/300*p**5 + 0*p + 0*p**3 - 1/300*p**6 + 1/120*p**4 + 0. What is a in m(a) = 0?
-1/2, 0, 1
Let s(c) be the first derivative of 3/4*c**4 - c**3 + 0*c - 1/5*c**5 + 4 + 1/2*c**2. Determine z so that s(z) = 0.
0, 1
Let o(z) = -26*z + 2. Let q be o(1). Let p be q/108 - (-17)/36. Factor 0*k**2 - 1/4*k**3 + 0 + 0*k + p*k**4.
k**3*(k - 1)/4
Let z(o) be the second derivative of -5/8*o**4 - 7/60*o**6 + 1/2*o**2 - 1/12*o**3 + 0 + 4*o - 19/40*o**5. Determine c, given that z(c) = 0.
-1, 2/7
Let i(s) be the second derivative of -3/10*s**5 + 0 - 1/2*s**4 - 1/15*s**6 - 1/3*s**3 + 0*s**2 - 2*s. Factor i(p).
-2*p*(p + 1)**3
Let m(x) be the third derivative of x**5/30 - x**4/12 - 7*x**2. Factor m(l).
2*l*(l - 1)
Let h = 1633/4 - 408. Factor 1/4 - h*i**2 + 0*i.
-(i - 1)*(i + 1)/4
Let n(p) be the second derivative of 5*p - 1/2*p**2 + 1/12*p**3 + 1/24*p**4 + 0. Let n(z) = 0. What is z?
-2, 1
Let s = 1 + 1. Factor 0*q - q - 2*q**3 - 2*q**5 + s*q + 3*q**5.
q*(q - 1)**2*(q + 1)**2
Suppose -5*a - 51 = y, -3*y + a = 31 + 58. Let z = -29 - y. What is u in -2/9 + 2/9*u**z + 2/9*u**3 - 2/9*u = 0?
-1, 1
Let w(r) = 75*r**2 - 56*r + 12. Let x(b) = -75*b**2 + 57*b - 12. Let i(g) = 3*w(g) + 4*x(g). Factor i(h).
-3*(5*h - 2)**2
Let s = -29 + 29. What is k in -1/4*k**2 + 1/4*k**4 + 0*k**3 + s + 0*k = 0?
-1, 0, 1
Let q(s) be the second derivative of s**6/10 + 5*s. Determine b, given that q(b) = 0.
0
Factor -2/7*s**3 - 6/7*s - 6/7*s**2 - 2/7.
-2*(s + 1)**3/7
Factor -4*x - 1/2*x**3 + 2 + 5/2*x**2.
-(x - 2)**2*(x - 1)/2
Let l(a) be the second derivative of a**8/112 - a**6/20 + a**4/8 + a**2 + 6*a. Let o(s) be the first derivative of l(s). Let o(p) = 0. What is p?
-1, 0, 1
Let f(a) be the first derivative of 7*a**4/12 - 16*a**3/9 + 11*a**2/6 - 2*a/3 + 8. Determine j so that f(j) = 0.
2/7, 1
Let z(t) be the first derivative of -t**4/22 + 2*t**3/33 + 29. Solve z(n) = 0.
0, 1
Let f be (-50)/(-70) + 2/(-7). Let u(y) be the first derivative of f*y**2 + 1/14*y**4 + 2/7*y + 2 + 2/7*y**3. Solve u(i) = 0 for i.
-1
Let x(d) be the third derivative of -d**5/360 - 5*d**4/144 - d**3/9 + 14*d**2. Suppose x(j) = 0. What is j?
-4, -1
Suppose i - 4*x = -2, 4*i - 5*x - 7 = -4. Factor -6 + 4*a - 4*a**2 + 2*a**2 + i + 2.
-2*(a - 1)**2
Factor 4/3 + 4*l**2 + 14/3*l.
2*(2*l + 1)*(3*l + 2)/3
Let f(a) be the first derivative of -a**6/1440 - a**5/120 - a**4/32 + 4*a**3/3 - 6. Let s(h) be the third derivative of f(h). Determine p so that s(p) = 0.
-3, -1
Let j(f) be the first derivative of -3*f**6/11 - 14*f**5/55 + 29*f**4/22 + 2*f**3/11 - 20*f**2/11 + 8*f/11 - 1. Determine c, given that j(c) = 0.
-2, -1, 2/9, 1
Let k = 250863 - 53935449/215. Let m = k - 2/43. Let m*w - 2/5*w**2 + 4/5 = 0. Calculate w.
-1, 2
Suppose 1/4*b - 1/2 - 1/4*b**3 + 1/2*b**2 = 0. What is b?
-1, 1, 2
Let o(d) be the first derivative of -d**6/24 + d**5/10 - d**4/16 + 7. Factor o(h).
-h**3*(h - 1)**2/4
Let q(w) be the second derivative of w**5/5 + 4*w**4/3 + 2*w**3 - 32*w. Factor q(i).
4*i*(i + 1)*(i + 3)
Let w(f) = 6*f**3 + 2*f**2 - 2*f - 1. Suppose -3*y + 2 + 16 = 0. Let g(b) = 7*b**3 + 3*b**2 - 3*b - 1. Let p(s) = y*w(s) - 5*g(s). Solve p(n) = 0.
1
Let b = 305 + -913/3. Let u = 2 - -1. Suppose 0*w**2 + 0 - 2/3*w**u + b*w = 0. Calculate w.
-1, 0, 1
Let a(w) be the third derivative of -w**5/480 - w**4/48 + 5*w**3/48 - 11*w**2. Solve a(t) = 0 for t.
-5, 1
Factor 15/7*j - 12/7*j**2 - 6/7 + 3/7*j**3.
3*(j - 2)*(j - 1)**2/7
Let z(a) be the second derivative of 10*a**7/7 - 37*a**6/10 - 6*a**5/5 + a**4 - 24*a. Find l such that z(l) = 0.
-2/5, 0, 1/4, 2
Solve -1/4*k**3 + 0 + 0*k**2 + 1/4*k = 0.
-1, 0, 1
Let n(a) be the third derivative of -a**5/300 + a**4/40 - a**3/15 - 8*a**2. Solve n(v) = 0.
1, 2
Let o(p) be the second derivative of -p - 2/9*p**4 + 0 - 1/3*p**3 - 1/6*p**2. Find t such that o(t) = 0.
-1/2, -1/4
Let a be (-6)/(-8)*(-6)/(-27). Factor 1/6 + a*m**2 - 1/3*m.
(m - 1)**2/6
Suppose 3*q - 16 = 5*b + 5*q, -11 = -2*b + 5*q. Let n be -4 - -6 - b/1. Determine i so that -8*i + 16/3 - 2/3*i**3 + n*i**2 = 0.
2
Let y(t) be the second derivative of -4/9*t**3 + 0 + 1/5*t**5 + 0*t**2 - t - 1/9*t**4. Find j, given that y(j) = 0.
-2/3, 0, 1
Factor -m**2 - 1/3*m**3 + 1/3*m**4 + 2/3 + 1/3*m.
(m - 2)*(m - 1)*(m + 1)**2/3
Let f(w) be the second derivative of -w**6/360 + w**5/60 - w**4/24 + w**3/18 + w**2/2 + 3*w. Let r(k) be the first derivative of f(k). Factor r(l).
-(l - 1)**3/3
Let g be -3 - -1 - (4 + -70). What is a in -32*a + 9*a**2 + 0*a**2 - 5*a**2 + g = 0?
4
Let w(o) = 2*o**2 - o. Let s be w(-1). Find p such that -7*p**2 + p**2 + s*p**2 + p + 2*p = 0.
0, 1
Let p(l) = -l + 4. Let q be p(-8). Suppose 12 - q + 2*h**4 + 6*h**3 + 4*h**2 = 0. What is h?
-2, -1, 0
Let w = 404/1791 - 2/597. Let c(m) be the first derivative of 2/3*m + w*m**3 - 2/3*m**2 + 3. Factor c(o).
2*(o - 1)**2/3
Let r = 0 - -4. Factor 4 - r*w**2 - 4 - 2*w**3 + 2*w**4.
2*w**2*(w - 2)*(w + 1)
Let h(j) be the third derivative of j**5/240 + j**4/32 + j**3/12 + 2*j**2. Let h(w) = 0. What is w?
-2, -1
Let n(l) be the third derivative of l**6/540 + 7*l**2. What is d in n(d) = 0?
0
Find p such that 3/8*p**3 + 3/4 - 7/8*p + 1/8*p**4 - 3/8*p**2 = 0.
-3, -2, 1
Let l(v) be the first derivative of 2*v**3/3 - 5*v**2 + 8*v + 10. Determine j so that l(j) = 0.
1, 4
Let f = 4 + -2. Solve 4*g**f - 1 - 16*g + 14*g - 5*g**2 = 0.
-1
Factor -3/11*i**4 + i**2 + 4/11 - 1/11*i**5 + 12/11*i + 1/11*i**3.
-(i - 2)*(i + 1)**3*(i + 2)/11
Let s(r) = r**3 + r**2 - r + 1. Let t(h) = -h**5 - 3*h**4 + 2*h**2 - 2*h + 2. Let x(b) = 4*s(b) - 2*t(b). Solve x(p) = 0 for p.
-2, -1, 0
Let s = 13 + -28. Let r be ((-6)/s)/(-1)*-2. Factor 0 + r*j + 2/5*j**2 - 2/5*j**3.
-2*j*(j - 2)*(j + 1)/5
Suppose 0 = -0*c + 2*c + c. Let f(i) be the third derivative of 0 + 0*i + 0*i**4 - 1/210*i**5 + c*i**3 - i**2. Factor f(q).
-2*q**2/7
Suppose -4*i + 16 = -2*i. Suppose -4*f - i = -4*k, f + 3*f = k + 4. Factor -7/4*q - 1/2 - 1/4*q**4 - 9/4*q**f - 5/4*q**3.
-(q + 1)**3*(q + 2)/4
Let z(a) be the first derivative of 3*a**2 + 1 - 3/2*a**4 - 3*a**3 + 9/5*a**5 + 0*a. Factor z(f).
3*f*(f - 1)*(f + 1)*(3*f - 2)
Let b(o) be the third derivative of o**8/26880 + o**7/3360 + o**6/960 + o**5/30 + 3*o**2. Let k(j) be the third derivative of b(j). Factor k(h).
3*(h + 1)**2/4
Let t(q) be the first derivative of -2*q - 49/6*q**3 - 4 - 7*q**2. Factor t(h).
-(7*h + 2)**2/2
Let w(f) be the second derivative of f**6/30 - 3*f**5/20 + f**4/12 + f**3/2 - f**2 + 8*f. Factor w(s).
(s - 2)*(s - 1)**2*(s + 1)
Let p(z) be the second derivative of z**6/30 + 9*z**5/20 + 7*z**4/4 + 19*z**3/6 + 3*z**2 - 33*z. Factor p(r).
(r + 1)**3*(r + 6)
Let t(g) be the third derivative of -g**7/840 - g**6/80 + g**5/10 + 7*g**4/24 - 3*g**2. Let m(p) be the second derivative of t(p). Factor m(o).
-3*(o - 1)*(o + 4)
Let r(m) be the first derivative of -10*m**3/11 + m**2/11 + 12*m/11 - 42. Suppose r(c) = 0. What is c?
-3/5, 2/3
Let g(l) = 3*l**2 + 5*l. Let a(i) = 0 - 6*i + 0*i**2 - 4*i**2 + 1. Let y(z) = 2*a(z) + 3*g(z). Factor y(b).
(b + 1)*(b + 2)
Solve -27*n**2 + 383*n - 61*n**2 + 10*n**3 - 359*n + 14*n**4 = 0.
-3, 0, 2/7, 2
What is m in 8*m**2 - 3*m + 1/3 - 16/3*m**3 = 0?
1/4, 1
Factor 0 + 4/5*v**2 + 2/5*v**3 + 0*v.
2*v**2*(v + 2)/5
Let x(f) be the first derivative of f**6/21 - f**5/7 + 10*f**3/21 - 5*f**2/7 + 3*f/7 + 17. Factor x(n).
(n - 1)**4*(2*n + 3)/7
Let y(x) be the third derivative of -x**11/443520 + x**10/302400 + x**9/241920 - 2*x**5/15 - 7*x**2. Let z(o) be the third derivative of y(o). Factor z(u).
-u**3*(u - 1)*(3*u + 1)/4
Let n(a) be the second derivative of -a**5/5 + 4*a**4/3 - 16*a. Find b such that n(b) = 0.
0, 4
Let c(f) be the second derivative of -f**5/5 + f**4/3 + 2*f**3/3 - 2*f**2 + 19*f. Factor c(b).
-4*(b - 1)**2*(b + 1)
Suppose 2*r - 16 = -4*w, -20 = -4*r - r. Let 2/3*q + 4/3*q**w + 0 = 0. Calculate q.
-1/2, 0
Let z(p) = p**2 - 5*p + 2. Let f be z(6). Let j be 0/(-1) + (f - 2). Let 2*q**5 + 0*q**4