d derivative of -1/18*f**3 + v*f**4 + 3*f - 1/3*f**2 + 0. Factor h(t).
(t - 2)*(t + 1)/3
Let g(t) be the third derivative of 49*t**6/30 - 217*t**5/15 - 68*t**4/3 - 40*t**3/3 + 12*t**2. Determine b so that g(b) = 0.
-2/7, 5
Let h = -34 + 19. Let i be (1/(-6))/(5/h). Factor 1/2*j - i*j**2 + 0.
-j*(j - 1)/2
Let v(p) be the first derivative of -p**6/900 + p**5/150 - p**4/60 + 2*p**3/3 - 6. Let c(y) be the third derivative of v(y). Solve c(f) = 0 for f.
1
Suppose -23 - 4*a**2 - 111 + 19*a + 29*a - 10 = 0. Calculate a.
6
Let m(f) be the third derivative of f**7/105 - f**6/60 - f**5/15 + 24*f**2. Suppose m(x) = 0. What is x?
-1, 0, 2
Suppose 0 = 3*n + 10 - 22. Suppose n - 14 = -5*t. What is l in -18/7*l**t - 4/7*l + 0 - 2*l**3 = 0?
-1, -2/7, 0
Suppose -2*f + q + 1 = 0, -4*q - 8 + 34 = 2*f. Factor -3*v**5 + 12*v**5 + 15*v**4 - v**f + 4*v**2 - 7*v**2 + 4*v**3.
3*v**2*(v + 1)**2*(3*v - 1)
Let l be (-6)/(36/(-2))*2. Suppose l*t - 1/3*t**2 + 0 = 0. Calculate t.
0, 2
Suppose 3*j + 185 - 191 = 0. Suppose 3/2 + 1/2*d**j + 5/2*d - 1/2*d**3 = 0. Calculate d.
-1, 3
Factor -2/13*p**3 - 2/13*p - 4/13*p**2 + 0.
-2*p*(p + 1)**2/13
Let i(u) be the third derivative of -u**8/168 + u**6/30 - u**4/12 - 7*u**2. Let i(g) = 0. Calculate g.
-1, 0, 1
Let x(w) be the first derivative of w**5/20 - w**4/16 - w**3/12 + w**2/8 + 4. Find r such that x(r) = 0.
-1, 0, 1
Suppose -3*q = 2*q. Suppose -j + q = -2. Factor 3*f**2 + 0*f**2 - 2*f**j - f**3.
-f**2*(f - 1)
Find h such that -3/4*h**3 - 1/4 + 5/4*h**2 + 3/4*h - h**4 = 0.
-1, 1/4, 1
Let y be (1 + 0)*0/3. Let w(v) be the first derivative of 8/21*v**6 + 0*v**2 + y*v + 2/21*v**3 + 1/2*v**4 + 4/5*v**5 - 1. Determine l so that w(l) = 0.
-1, -1/2, -1/4, 0
Let g(a) be the second derivative of -a**4/18 + a**3/3 - 2*a**2/3 - 10*a. Factor g(b).
-2*(b - 2)*(b - 1)/3
Let f be (-2)/48 - (-108)/288. Suppose -f*w**4 - 1/3*w + 0 + 1/3*w**3 + 1/3*w**2 = 0. What is w?
-1, 0, 1
Let a = 6 + -23/4. What is r in a + 3/4*r - 1/4*r**2 - 3/4*r**3 = 0?
-1, -1/3, 1
Suppose -4 + 7*g**2 - 9*g**2 + 6*g**2 = 0. What is g?
-1, 1
Find d such that -2/9*d**2 - 4/9*d + 0 = 0.
-2, 0
Suppose 5*j - 38 = -3. Let o(w) be the third derivative of 0 + 0*w**5 - 2*w**2 + 0*w + 0*w**3 + 0*w**4 + 1/180*w**6 - 1/315*w**j. Factor o(a).
-2*a**3*(a - 1)/3
What is j in 1/2*j**4 + 0*j**3 - 1/4*j**5 - 1/2*j**2 + 1/4*j + 0 = 0?
-1, 0, 1
Let c be ((-18)/(-432))/((-1)/(-3)). Let y(r) be the second derivative of 1/40*r**5 - 1/120*r**6 + 3*r - 1/12*r**3 + c*r**2 + 0*r**4 + 0. Solve y(w) = 0.
-1, 1
Let o(c) be the third derivative of -c**6/24 + c**5/6 + 5*c**4/24 - 5*c**3/3 + 2*c**2. Factor o(k).
-5*(k - 2)*(k - 1)*(k + 1)
Let c(s) be the first derivative of -3/35*s**5 + 0*s - 3/28*s**4 + 0*s**2 + 7 + 0*s**3. Factor c(w).
-3*w**3*(w + 1)/7
Let n(h) be the second derivative of 0*h**2 - 3*h + 0 + 2/3*h**3 + 1/10*h**5 - 1/2*h**4. Factor n(o).
2*o*(o - 2)*(o - 1)
Factor 29*f**4 + 1 + 5*f**5 + 50*f**2 - 159*f**3 - 4*f**4 + 209*f**3 + 25*f + 4.
5*(f + 1)**5
Let r be (-152)/(-36) - 4/18. Let n(m) = 2*m**2 - 5*m - 3. Let v be n(r). What is u in -3*u**2 + u**3 - v*u**2 - 6*u**3 + 0*u**3 - 4*u = 0?
-2, -2/5, 0
Suppose -2*b - 5*a = -65, 2*b - 2*a = -3*b + 206. Let h be -1 - (b/(-18) - -1). Find k, given that 4/9*k**2 - h*k**3 - 2/9*k + 0 = 0.
0, 1
Let i(j) be the third derivative of -j**5/60 + j**4/24 + 7*j**2. Let n(c) = 31*c**2 + 49*c + 8. Let t(w) = -5*i(w) + n(w). Factor t(d).
4*(d + 1)*(9*d + 2)
Let f(j) be the first derivative of 4*j**3/21 - 40*j**2/7 + 400*j/7 - 20. Factor f(q).
4*(q - 10)**2/7
Solve 0 + 0*y**2 + 0*y + 3/5*y**4 + 3/5*y**3 = 0.
-1, 0
Let p = -32 + 46. Suppose p*c - 12*c = 0. Suppose -2/5*v**2 + c + 2/5*v = 0. Calculate v.
0, 1
Let r be 20 + -24 - 170/(-42). Let i(a) be the first derivative of -2/35*a**5 - 2/7*a + 4/21*a**3 + 1/7*a**2 - 1/7*a**4 - 2 + r*a**6. Factor i(n).
2*(n - 1)**3*(n + 1)**2/7
Factor -162/11 - 54/11*u**2 + 162/11*u + 6/11*u**3.
6*(u - 3)**3/11
Let n(x) be the first derivative of -2/5*x**5 + 1/12*x**6 + 0*x**2 + 0*x**3 + 1/2*x**4 + 0*x - 2. Suppose n(a) = 0. What is a?
0, 2
Let n(y) be the second derivative of -y**6/180 + y**4/12 - y**3/6 - y. Let v(z) be the second derivative of n(z). Determine r, given that v(r) = 0.
-1, 1
Let x = -838/7 + 120. Solve -2/7*z**4 - x*z**2 + 4/7*z**3 + 0 + 0*z = 0.
0, 1
Let z(y) = 3*y**2 - y**2 + 4*y - y**2 - 2. Let u be z(-5). Determine t so that -4*t**4 + 6*t**2 - 4 + 2 + 0 + 2*t - 2*t**u = 0.
-1, 1/2, 1
Let v(q) be the first derivative of -q**4/6 + 4*q**2 + 3*q + 2. Let y(p) be the first derivative of v(p). Solve y(o) = 0.
-2, 2
Suppose -2*w + 4*w - 6 = 0. Let k(s) = -s**5 + s**4 - 5*s**3 + 19*s**2 + 6*s + 1. Let p(c) = 3*c**3 - 9*c**2 - 3*c. Let z(i) = w*k(i) + 7*p(i). Factor z(f).
-3*(f - 1)**3*(f + 1)**2
Let c(a) = 5*a**3 + 3*a**2 + 3*a - 1. Let k(q) = 9*q**2 + 0*q + 5*q + 2*q + 11*q**3 - 2 - 2*q**2. Let z(p) = -13*c(p) + 6*k(p). Factor z(s).
(s + 1)**3
Let x(i) = -1 + 0 + 0*i - i. Let m be -5 - ((-1)/(-1) + -2). Let z(w) = w**2 + 4*w + 4. Let d(p) = m*x(p) - z(p). Factor d(b).
-b**2
Let w(g) = g - 2. Let k be w(3). Let b be 0 + k + 27/(-33). Factor 0 + 2/11*u + b*u**2.
2*u*(u + 1)/11
Let f(z) be the first derivative of -z**8/840 + z**6/90 - z**4/12 + z**3/3 + 3. Let c(t) be the third derivative of f(t). Factor c(v).
-2*(v - 1)**2*(v + 1)**2
Let f = -1 + 3. Let b(o) be the third derivative of 0*o**4 + 0*o + 0*o**3 - 1/480*o**6 + 1/240*o**5 + 2*o**f + 0. Find w such that b(w) = 0.
0, 1
Suppose -2*h + v + 6 = 0, v - 7 = -2*h + 7. Let u(s) be the first derivative of -27/5*s**h + 2 + 81/4*s**4 - 30*s**3 - 8*s + 22*s**2. Factor u(m).
-(m - 1)*(3*m - 2)**3
Let a = -8 - -5. Let b(l) = -7*l**4 - 8*l**3 - 3*l**2 - 3*l + 3. Let p(h) = 13*h**4 + 16*h**3 + 5*h**2 + 5*h - 5. Let x(i) = a*p(i) - 5*b(i). Factor x(z).
-4*z**3*(z + 2)
Let l be 1/((-12)/9)*(-6)/9. Find t, given that -1/2*t**2 - l*t + 0 = 0.
-1, 0
Let v(d) be the third derivative of d**6/220 + d**5/22 + 7*d**4/44 + 3*d**3/11 - 28*d**2. Factor v(z).
6*(z + 1)**2*(z + 3)/11
Let x(v) be the second derivative of -v**4/12 + v**3/3 - 3*v. Let j be x(2). Let 0 + j + r**2 - 2*r + r**3 + 0 = 0. Calculate r.
-2, 0, 1
Suppose 2*n + 3*n = 3*h + 45, -n + 9 = h. Let w be ((-3)/7)/(4/(-28)). Determine v, given that -2*v**3 - 10*v + n*v + w*v**3 = 0.
-1, 0, 1
Let w(u) = -u**3 - u. Let j(n) = 8*n**2 - 24*n + 6. Let k(r) = -3*j(r) + 15*w(r). Factor k(f).
-3*(f - 1)*(f + 3)*(5*f - 2)
Let r(g) be the second derivative of g**6/20 - 9*g**5/40 + g**4/8 - g**2 - 3*g. Let w(s) be the first derivative of r(s). Let w(c) = 0. What is c?
0, 1/4, 2
Solve 128/3*p**4 - 2/3 - 32/3*p**3 - 22/3*p - 24*p**2 = 0 for p.
-1/4, 1
Suppose 0 = -7*q + 14. Let v(a) = 3*a**2 + a - 2. Let g(r) be the first derivative of -13*r**3/3 - 5*r**2/2 + 9*r + 1. Let d(u) = q*g(u) + 9*v(u). Factor d(h).
h*(h - 1)
Let d(m) = -m**2 + m + 2. Let j be d(0). Determine h, given that -4*h**4 + 8*h**4 - 3*h**4 - h**j = 0.
-1, 0, 1
Let b(x) be the second derivative of 2/21*x**3 + 0*x**2 - 1/42*x**4 + 1/105*x**6 + 0 - 4*x - 1/35*x**5. Let b(l) = 0. What is l?
-1, 0, 1, 2
Suppose -13*o + 20 + 19 = 0. Let 0 - 2/3*v - 8/3*v**o + 10/3*v**2 = 0. What is v?
0, 1/4, 1
Let i(n) = n**2 + 5*n + 4. Let v be i(-5). Let a(t) be the first derivative of 2 + t + t**3 + 1/4*t**v + 3/2*t**2. Factor a(r).
(r + 1)**3
Let g = 57 - 170/3. Determine m, given that g*m**2 - 2/3*m**3 + 0 + 0*m = 0.
0, 1/2
Let r(o) be the third derivative of -o**8/8960 + o**7/2520 + o**6/2880 - o**5/240 - o**4/12 + 5*o**2. Let f(d) be the second derivative of r(d). Solve f(q) = 0.
-2/3, 1
Suppose 2*v + 45 = -43. Let f be (-2)/v*16/4. Suppose 0*g + 2/11*g**2 - f*g**3 + 0 = 0. What is g?
0, 1
Let f = -18 - -23. Suppose 6 = f*k - 2*k. Factor -2/9*l + 2/9*l**k - 4/9.
2*(l - 2)*(l + 1)/9
Suppose k + 7 = -4*u, 10 = 2*k - u - 21. Let a be k + -13 + (-1)/(-4). Solve 0 + 0*v**2 + 0*v - a*v**3 = 0 for v.
0
Let a(k) be the first derivative of k**7/42 + k**6/30 + k + 5. Let m(w) be the first derivative of a(w). Solve m(o) = 0.
-1, 0
Let v(d) be the first derivative of -d**6/3 - 2*d**5 - 7*d**4/2 + 2*d**3/3 + 8*d**2 + 8*d - 7. Find l, given that v(l) = 0.
-2, -1, 1
Find g, given that -6/5*g - 14/5*g**2 - 2*g**3 - 2/5*g**4 + 0 = 0.
-3, -1, 0
Let p(i) = -16*i**3 - 40*i**2 - 58*i - 34. Let z(