vative of 1/60*r**5 + 0*r**2 + 7*r + 0*r**3 + 0*r**4 - 1/126*r**7 + 0*r**6 + 0. Let j(x) = 0. What is x?
-1, 0, 1
Let o(n) be the second derivative of n**6/120 - n**4/8 - n**3/3 + 7*n**2/2 - 3*n. Let l(f) be the first derivative of o(f). Determine g so that l(g) = 0.
-1, 2
Let u be ((-8)/12)/(6/(-45)). Let c(p) be the first derivative of -1 + p**2 + 0*p**u + 1/3*p**6 + 0*p**3 + 0*p - p**4. Let c(t) = 0. Calculate t.
-1, 0, 1
Let u(y) be the third derivative of y**8/112 - y**7/35 + y**5/10 - y**4/8 - 10*y**2. Solve u(m) = 0.
-1, 0, 1
Let u be 21/54 + (-2)/(-18). Factor u*f**2 + 0 - f.
f*(f - 2)/2
Let r = -413/3 - -139. Let a be (-15)/9*(3/5 - 1). Find u, given that r*u**3 - 2*u + a*u**5 - 2/3 - 4/3*u**2 + 2*u**4 = 0.
-1, 1
Let y(o) be the second derivative of -o**7/14 - o**6/10 + 9*o**5/20 + 5*o**4/4 + o**3 + 10*o. Let y(m) = 0. Calculate m.
-1, 0, 2
Suppose -3*a + 7 + 5 = 0. Let 5*h**3 - 4*h**3 + 4*h**a - 3*h**4 = 0. Calculate h.
-1, 0
Find b such that -25*b**2 - 3*b**3 - b + 4*b + 6*b**3 + 31*b**2 = 0.
-1, 0
Suppose 7*z - 8 = 6*z. Factor 3*a**3 - 3*a**3 - 4*a**4 + 12*a**2 - z*a.
-4*a*(a - 1)**2*(a + 2)
Let i(p) = 2*p**4 + 2*p**3 - 2*p**2 - 2*p - 2. Let w(z) = 3*z**4 + 4*z**3 - 3*z**2 - 4*z - 5. Let u = -4 + 9. Let h(s) = u*i(s) - 2*w(s). Factor h(d).
2*d*(d - 1)*(d + 1)*(2*d + 1)
Factor -8/13*f - 2/13*f**2 - 8/13.
-2*(f + 2)**2/13
Let m = 3 + 9. Factor -m*o**4 - 3 + 3 - 4*o**2 - 15*o**3 - 2*o**2 - 3*o**5.
-3*o**2*(o + 1)**2*(o + 2)
Let k(j) be the third derivative of j**8/84 - 4*j**7/35 + 13*j**6/30 - 4*j**5/5 + 2*j**4/3 + 3*j**2. Factor k(p).
4*p*(p - 2)**2*(p - 1)**2
Let s(p) be the first derivative of p**6/3 - 6*p**5/5 + p**4 + 2. Factor s(u).
2*u**3*(u - 2)*(u - 1)
Let b(q) be the first derivative of 5*q**6/39 + 36*q**5/65 + 7*q**4/26 - 4*q**3/3 - 12*q**2/13 + 16*q/13 - 6. What is k in b(k) = 0?
-2, -1, 2/5, 1
Let 16*y**3 - 9*y**3 - 10*y**2 - 4*y**3 + 4*y**2 - 3*y + 6 = 0. Calculate y.
-1, 1, 2
Let d = -3/116 + 125/348. Factor -1/6*n + d*n**2 + 0 - 1/6*n**3.
-n*(n - 1)**2/6
Let 4/11 - 8/11*b - 1/11*b**4 + 2/11*b**3 + 3/11*b**2 = 0. Calculate b.
-2, 1, 2
Factor 15/8*j**3 + 1/8*j**2 + 0 - 1/4*j.
j*(3*j - 1)*(5*j + 2)/8
Let z = -48 + 51. Let g(v) be the second derivative of 0*v**2 - 1/80*v**5 - 1/120*v**6 + 1/24*v**z - 2*v + 1/48*v**4 + 0. Find f, given that g(f) = 0.
-1, 0, 1
Let f(o) be the third derivative of o**8/336 + o**7/70 + o**6/60 - o**5/30 - o**4/8 - o**3/6 + o**2. Factor f(s).
(s - 1)*(s + 1)**4
Let s be 12*(801/108 + -7). Determine b so that b**4 + 0*b + 0 + 1/3*b**s + b**3 + 1/3*b**2 = 0.
-1, 0
Let f(t) be the third derivative of -t**6/120 - 6*t**2. Let m(l) = 3*l**4 + 6*l**3 - 3*l**2. Let g(a) = 6*f(a) + m(a). Let g(v) = 0. What is v?
-1, 0, 1
Let w(t) = 2*t**3 + 3*t**2 + 4. Let l(y) be the second derivative of y**5/4 + y**4/2 + y**3/6 + 9*y**2/2 + 3*y. Let f(i) = 6*l(i) - 14*w(i). Factor f(a).
2*(a - 1)**3
Let c(t) = -t**3 + 3*t + 2. Let m be c(-1). Let y(f) be the first derivative of 1/2*f + m*f**2 - 1/6*f**3 - 1. Find b, given that y(b) = 0.
-1, 1
Let f(l) be the second derivative of l**6/45 + 2*l**5/15 + l**4/6 - 4*l**3/9 - 4*l**2/3 - 20*l. Factor f(u).
2*(u - 1)*(u + 1)*(u + 2)**2/3
Let s(r) be the first derivative of -3*r**4/16 + r**3/2 + 3*r**2/2 - 6*r - 4. Factor s(j).
-3*(j - 2)**2*(j + 2)/4
Let i(a) be the second derivative of -a**5/60 + a**4/24 + a**2/2 + 2*a. Let r(o) be the first derivative of i(o). Factor r(d).
-d*(d - 1)
Suppose -m + 5*j + 4 = -10, 0 = 3*m - 5*j - 22. Suppose m*u - c - 10 = 0, -3*u + 3*c + 2 = -1. Factor -14*o**u - 5*o + 5*o + 4*o**2.
-2*o**2*(7*o - 2)
Let g = 10 - 4. Factor 10 - g*v**4 - 6*v**3 + 3*v**3 + 3*v**2 - 10.
-3*v**2*(v + 1)*(2*v - 1)
Suppose 20 = 10*l - 5*l. Let g(d) be the third derivative of 0*d - 1/30*d**l + 0*d**3 + 1/150*d**5 + 0 - d**2. Determine u so that g(u) = 0.
0, 2
Let h(c) be the first derivative of c**8/6720 - c**6/1440 - c**3/3 - 1. Let w(l) be the third derivative of h(l). Find k, given that w(k) = 0.
-1, 0, 1
Let g be (1 + (-7)/5)*85/(-51). Determine w so that -g*w**2 + 0 - 1/3*w + 0*w**3 + 1/3*w**5 + 2/3*w**4 = 0.
-1, 0, 1
Let j be ((-16)/4 + 4)*-1. Let d(i) be the third derivative of 3*i**2 + 0*i**4 + j*i**3 - 1/120*i**6 + 0 + 0*i - 1/120*i**5 - 1/420*i**7. Factor d(m).
-m**2*(m + 1)**2/2
Let k be (1*15/(-35))/(6/(-8)). Let -6/7*j**2 + k*j + 0 - 10/7*j**3 = 0. Calculate j.
-1, 0, 2/5
Let q(u) = -u**2 - u - 1. Let n(p) = -2*p**2 - 2. Let x(w) = -n(w) + 4*q(w). Let x(i) = 0. Calculate i.
-1
Let l(x) be the first derivative of -x**6/30 + x**4/20 - 2. Let l(k) = 0. What is k?
-1, 0, 1
Let c(n) be the first derivative of 5*n**3/12 + 3*n**2/8 - n/2 - 3. Factor c(s).
(s + 1)*(5*s - 2)/4
Let c(r) be the first derivative of -r**3/2 + 3*r**2/4 - 16. Suppose c(w) = 0. Calculate w.
0, 1
Determine o, given that 1/3*o**2 + 1/6*o - 1/3 - 1/6*o**3 = 0.
-1, 1, 2
Let b(a) be the third derivative of a**7/210 + a**6/30 + a**5/12 + a**4/12 - 26*a**2. Factor b(c).
c*(c + 1)**2*(c + 2)
Let c = 4/7 - 9/28. Let j(g) be the first derivative of 0*g - 1/12*g**6 - c*g**2 + 2/5*g**5 - 4 + 2/3*g**3 - 3/4*g**4. Find s, given that j(s) = 0.
0, 1
Let t be 1/2*(3 - -85). Let i be 2 + -2 + 16/t. Factor 4/11*s**3 + 0*s**2 - i*s - 2/11 + 2/11*s**4.
2*(s - 1)*(s + 1)**3/11
Determine t, given that 0*t + 1 + 1/4*t**5 - 1/4*t**3 + 3/4*t**4 - 7/4*t**2 = 0.
-2, -1, 1
Solve 2/5 - 7/5*x**4 - 9/5*x**3 + 9/5*x + x**2 = 0.
-1, -2/7, 1
Let k(z) be the second derivative of z**5/60 + z**4/8 + z**3/3 + 2*z**2 - 4*z. Let s(b) be the first derivative of k(b). Factor s(l).
(l + 1)*(l + 2)
Let t(m) be the second derivative of -m**9/3024 + m**8/840 - m**7/840 - m**3/6 - m. Let a(i) be the second derivative of t(i). Factor a(h).
-h**3*(h - 1)**2
Let i = 206/225 - -16/25. What is f in -8*f + 20/3*f**2 + 16/9 - i*f**3 = 0?
2/7, 2
Let i(g) be the first derivative of 0*g**4 + 3 + 0*g**2 + 0*g - 3/5*g**5 + 0*g**3. Solve i(s) = 0 for s.
0
Let z(v) be the first derivative of v**4/4 - v**3 + 2*v**2 - 2*v - 2. Let p be z(2). Let -1/2*l**4 + l + 0*l**p - l**3 + 1/2 = 0. What is l?
-1, 1
Let y(n) be the first derivative of 0*n**2 + 0*n - 2 - 1/2*n**4 + 2/3*n**3. Solve y(f) = 0.
0, 1
Let c(b) = -b + 5. Let h be c(5). Suppose h = j - 2*j + 3, 9 = 5*s - 2*j. What is x in 3*x**5 - x**5 + 7*x**s + 6*x**4 - x**3 + 2*x**2 = 0?
-1, 0
Let k = 10 - 5. Suppose r + 0*r - 2 = z, z - k*r = -22. Factor 8*b**3 + b**2 - 2*b**z + b**2 - 8*b**4.
-2*b**2*(b - 1)*(4*b + 1)
Let h = 19947 + -99314/5. Let p = h + -83. Factor -p*y - 2/5*y**3 - 6/5*y**2 - 2/5.
-2*(y + 1)**3/5
Let c(t) = -t**5 + t**3 + t. Let u(l) = -7*l**5 - 5*l**4 + 14*l**3 + 20*l**2 + 12*l. Let k(q) = -4*c(q) + u(q). Let k(p) = 0. Calculate p.
-2, -1, -2/3, 0, 2
Let c(i) = -i**2 - 10*i - 9. Let p be c(-7). Suppose 3*s + 0*s - 22 = -4*k, -2*s - p = -4*k. Let 0 + 0*b**s + 5/3*b**4 - 2/3*b**3 - b**5 + 0*b = 0. What is b?
0, 2/3, 1
Suppose 3*d - 24 = 5*o, -9 + 0 = 3*o. Let a(p) be the second derivative of 1/21*p**d + 2*p + 1/42*p**4 + 0*p**2 + 0. Factor a(w).
2*w*(w + 1)/7
Let f(r) be the first derivative of 1/4*r + 1/2*r**4 - 1/2*r**3 + 0*r**2 - 4 - 3/20*r**5. Suppose f(q) = 0. Calculate q.
-1/3, 1
Find x, given that 1/8*x**2 + 2 + x = 0.
-4
Let u(a) = -a**3 + 1. Let r(n) be the third derivative of 7*n**6/120 + n**5/60 - n**4/24 - 7*n**3/6 - 3*n**2. Let t(g) = -r(g) - 6*u(g). Factor t(q).
-(q - 1)*(q + 1)**2
Let j(c) = 3*c**4 + 9*c**3 - c**2 - 8*c - 4. Let y(z) = z**4 - z**3 + z**2. Let t(b) = j(b) + y(b). Factor t(f).
4*(f - 1)*(f + 1)**3
Let j(y) = -3*y**2 + 2*y - 1. Let t(f) = -12*f**2 + 8*f - 5. Let u(g) = -18*j(g) + 4*t(g). Find z, given that u(z) = 0.
-1/3, 1
Factor 0 + 1/6*q**3 - 1/6*q**2 + 0*q.
q**2*(q - 1)/6
Let f = -17/12 + 7/4. Let 4/3*o**2 - 5/3*o + 2/3 - f*o**3 = 0. What is o?
1, 2
Let l be (-3)/(-6)*2176/(-14). Let i = l - -78. Factor -4/7*n - i*n**2 + 0 + 16/7*n**3 - 10/7*n**4.
-2*n*(n - 1)**2*(5*n + 2)/7
Let j(o) be the first derivative of 0*o + 1/3*o**3 + 3 + 1/2*o**2 + 7/24*o**4 - 3/20*o**5. Let i(a) be the second derivative of j(a). Solve i(n) = 0.
-2/9, 1
Let i(l) be the first derivative of -l**4/24 + 5*l**3/18 - 2*l**2/3 + 2*l/3 + 30. Factor i(v).
-(v - 2)**2*(v - 1)/6
Factor 403*d + 332*d + 5*d**3 + 1715 + 64*d**2 - 19*d**2 + 60*d**2.
5*(d + 7)**3
Let r(p) = -p - 4. L