?
0, 1
Let c(w) be the second derivative of -w**6/1620 + w**4/108 - w**3/2 + 2*w. Let b(j) be the second derivative of c(j). Solve b(y) = 0.
-1, 1
Let u(i) be the second derivative of i**7/126 - i**5/60 - 4*i. Let u(b) = 0. Calculate b.
-1, 0, 1
Suppose -12*a - 4*a**2 + a + 21*a - 24 + 10*a = 0. What is a?
2, 3
Factor 79*l**2 + 49*l**2 - 4*l**5 + 87*l**4 - 47*l**4 - 128*l**3.
-4*l**2*(l - 4)**2*(l - 2)
Let b(z) be the first derivative of -4 + 38/27*z**3 + 1/54*z**6 + 25/36*z**4 + 14/9*z**2 + 8/45*z**5 + 8/9*z. Find s, given that b(s) = 0.
-2, -1
Let z(g) be the third derivative of g**5/30 - 3*g**4/8 + 3*g**2. Let q(h) = -h**2 + 8*h. Suppose -2*k - 3*k = 30. Let t(o) = k*z(o) - 7*q(o). Factor t(f).
-f*(5*f + 2)
Let s(h) be the first derivative of -h**4/2 - 4*h**3/3 - h**2 + 1. Solve s(d) = 0.
-1, 0
Suppose 3*x - 5 = -5*w, 2*x + 18 = -w + 3*w. Factor -2*f**4 + 0*f**5 + 3*f**3 - 4*f**3 - f**5 + 0*f**w.
-f**3*(f + 1)**2
Factor 0*p**3 + 1/3*p**4 - 2/3*p**2 + 1/3 + 0*p.
(p - 1)**2*(p + 1)**2/3
Let p(m) be the first derivative of -m**9/7560 + m**8/4200 + m**7/1050 + 5*m**3/3 + 1. Let y(k) be the third derivative of p(k). Factor y(c).
-2*c**3*(c - 2)*(c + 1)/5
Let h(c) be the first derivative of -c**7/147 + 3*c**5/70 - c**4/21 + c + 2. Let p(i) be the first derivative of h(i). Let p(f) = 0. What is f?
-2, 0, 1
Let x(k) = k**4 + k**3 + k**2 + 1. Let o(b) = 15*b**4 + 25*b**3 + 25*b**2 - 5*b + 20. Let r(s) = o(s) - 20*x(s). Determine l, given that r(l) = 0.
-1, 0, 1
Suppose 2*z = 7*z - 10. What is h in 19*h**4 + z*h - 8*h**3 + 5*h**3 - 12*h**3 + h**2 - 7*h**5 = 0?
-2/7, 0, 1
Solve -5*z**3 + 4*z**3 - z**4 - 4*z + z**2 + 5*z = 0.
-1, 0, 1
Let g(y) be the third derivative of -3*y**5/10 + y**4/2 - y**3/3 - 12*y**2. Solve g(m) = 0 for m.
1/3
Let x(t) = -t + 37. Let a be x(34). Factor 0*s + 0 + 4/9*s**5 + 0*s**2 + 2/9*s**a + 2/3*s**4.
2*s**3*(s + 1)*(2*s + 1)/9
Let a = -8/25 + 361/1050. Let o(q) be the second derivative of 2/21*q**3 - 1/7*q**2 + 0 - a*q**4 - q. Factor o(r).
-2*(r - 1)**2/7
Let h(y) be the first derivative of y**7/84 + y**6/60 - y**5/40 - y**4/24 - 4*y + 2. Let i(f) be the first derivative of h(f). Let i(n) = 0. Calculate n.
-1, 0, 1
Let a(n) be the first derivative of -2*n**3/3 - 2*n**2 - 5*n + 3. Let j(h) = -1. Let m(l) = a(l) - 3*j(l). Factor m(x).
-2*(x + 1)**2
Suppose 5*u = 2*g + 6, 7*g - 4*g - 6 = 0. Find a, given that 11*a**2 - 2*a + 7*a**4 + 3*a**4 - 22*a**3 + 3*a**u = 0.
0, 1/5, 1
Let f(i) be the first derivative of -3*i**4/4 - 2*i**3 - 3*i**2/2 - 3. Factor f(o).
-3*o*(o + 1)**2
Factor 4 - 9*a**2 - 10*a**3 - 20*a - 13*a**3 + 37*a**2 + 11*a**3.
-4*(a - 1)**2*(3*a - 1)
Let m(x) = -2*x**3 + 8*x**2 - 8*x. Let w(r) = r**3 - 5*r**2 + 5*r. Let v(t) = -5*m(t) - 8*w(t). Factor v(o).
2*o**3
Let n be (2/4)/((-3)/(-36)). Let b(i) = -i**4 - i**2 - i. Let v(c) = 4*c**4 - 24*c**3 - 102*c**2 - 210*c - 162. Let x(r) = n*b(r) + v(r). Factor x(f).
-2*(f + 3)**4
Let j(g) = -g**3 + 5*g**2 + g - 4. Let c be j(5). Let d be -5*(0 - c/15). Factor -2/3*a + 1/3 + d*a**2.
(a - 1)**2/3
Let y be ((-8)/50)/(12/30*-1). Find t such that -2/5*t + y*t**3 - 1/5 + 1/5*t**2 = 0.
-1, -1/2, 1
Suppose -5*y - 4 = -9. Let z be 6/(-4)*(-2)/y. Let -z + 4 - o**2 - o**3 - 10*o + 11*o = 0. What is o?
-1, 1
Factor -15*q**5 - 2*q**2 + 13*q**5 - 4*q**4 - 2*q**4 - 6*q**3.
-2*q**2*(q + 1)**3
Let c(k) be the third derivative of k**5/20 + k**4/8 - k**3 - 23*k**2. Suppose c(d) = 0. What is d?
-2, 1
Let p(q) be the first derivative of -q**7/2100 - q**6/225 - q**5/75 - 4*q**3/3 - 1. Let u(s) be the third derivative of p(s). Factor u(i).
-2*i*(i + 2)**2/5
Let c be ((-2)/(-20))/(1/12). Find d, given that 2*d**4 + c*d**5 + 0*d - 2/5*d**2 + 2/5*d**3 + 0 = 0.
-1, 0, 1/3
Let m(t) be the first derivative of 1/2*t**4 - 1 - 2*t**3 + 3*t**2 - 2*t. Factor m(j).
2*(j - 1)**3
Let d(p) be the third derivative of -1/28*p**8 + 3*p**2 + 0 + 0*p**3 - 1/14*p**7 + 0*p**5 - 1/40*p**6 + 0*p + 0*p**4. Find o such that d(o) = 0.
-1, -1/4, 0
Let k = 140/3 - 46. Let z(g) be the second derivative of -k*g**3 + 0 - g + g**2 + 1/6*g**4. Find s such that z(s) = 0.
1
Suppose -2*k + 12 = -4*a, -2*k = -5*k - 4*a - 12. Let o(x) be the first derivative of -2/15*x**3 + 0*x + 0*x**4 + 2 + k*x**2 + 2/25*x**5. Factor o(l).
2*l**2*(l - 1)*(l + 1)/5
Let l(a) be the first derivative of -2*a**5/15 + a**4/3 + 22*a**3/9 - 4*a**2 - 24*a + 24. Suppose l(w) = 0. Calculate w.
-2, 3
Let m(k) = -k**2 - 7*k - 4. Let a be m(-4). Let f be 9/(-1)*a/(-48). Find t, given that -3/2*t**3 + 0*t - f*t**4 - 1/2*t**2 - 1/2*t**5 + 0 = 0.
-1, 0
Let r(q) be the first derivative of -q**6/1260 + q**4/84 - q**3/3 + 3. Let k(v) be the third derivative of r(v). Suppose k(y) = 0. Calculate y.
-1, 1
Suppose 0 = 2*f + 2*h - 10, 3*f - 2*h = -6 + 1. Let -f - 2*g**4 + 8*g**4 - 6*g + 4*g**3 + 2*g**5 - 4*g**2 - 1 = 0. What is g?
-1, 1
Let s(a) be the second derivative of -3*a**5/5 - 15*a**4/4 - 4*a**3 + 9*a**2/2 + 7*a. Factor s(l).
-3*(l + 1)*(l + 3)*(4*l - 1)
Let i be 9/(-12)*(-12)/69. Let u = i - -37/69. Find m such that -8/3*m + u*m**2 + 8/3 = 0.
2
Suppose -b = -3, 0 = -4*q - 2*b + 7*b + 1. Let t(f) be the second derivative of -2/33*f**3 - 1/66*f**q - 4*f - 1/11*f**2 + 0. Factor t(w).
-2*(w + 1)**2/11
Let z(w) be the first derivative of -w**6/1800 + w**5/600 - w**3/3 + 2. Let x(n) be the third derivative of z(n). Factor x(v).
-v*(v - 1)/5
Let f(v) be the first derivative of 2*v**6/15 + 4*v**5/5 + 2*v**4 + 8*v**3/3 + 2*v**2 + 9*v - 8. Let p(b) be the first derivative of f(b). Factor p(t).
4*(t + 1)**4
Suppose 4*v + 0*l = 5*l - 177, -2*v + 5*l - 81 = 0. Let n be (-64)/v*(-3)/(-14). Find b such that 0*b**2 - 2/7*b**4 - 4/7*b**3 + 4/7*b + n = 0.
-1, 1
Let v be 2/6*(-120)/(-80). Solve 1/2*t + 1/2*t**5 + t**2 - 1/2 - v*t**4 - t**3 = 0.
-1, 1
Factor 5/8 + 1/8*w**2 - 3/4*w.
(w - 5)*(w - 1)/8
Let -11/4*r**3 - r**5 - 1/4*r**2 + 1/4 - 3*r**4 + 3/4*r = 0. Calculate r.
-1, -1/2, 1/2
Let i(d) = 2*d**2 + 17*d + 23. Let g be i(-7). Factor -2/3*w**4 + 8/3*w - 4/3*w**3 + 2*w**g - 8/3.
-2*(w - 1)**2*(w + 2)**2/3
Suppose 4*s + 23 = 3. Let z = 10 + s. Find j such that -1 - z*j**3 - 2*j**2 + 1 + 4*j**3 = 0.
-2, 0
Let d(m) = -2*m**3 + m. Let k(y) = -y**3 + y**2 - y. Let r(b) = 3*d(b) - 3*k(b). Factor r(w).
-3*w*(w - 1)*(w + 2)
Let y(a) be the third derivative of a**6/24 + 31*a**5/12 + 425*a**4/8 + 375*a**3/2 + 54*a**2. Factor y(t).
5*(t + 1)*(t + 15)**2
Let v(m) be the third derivative of m**6/1080 - m**5/270 + m**4/216 - 8*m**2. Factor v(z).
z*(z - 1)**2/9
Find v such that 1/8*v**3 + 1/8*v + 0 - 1/4*v**2 = 0.
0, 1
Let a(f) = 6*f**4 - 4*f**3 - f**2 + 4*f - 5. Let m(s) = 7*s**4 - 5*s**3 - s**2 + 5*s - 6. Let h(x) = -6*a(x) + 5*m(x). Determine p so that h(p) = 0.
-1, 0, 1
Let q(y) = -55*y**5 - 375*y**4 - 540*y**3 - 220*y**2 - 45. Let h(u) = 5*u**5 + 34*u**4 + 49*u**3 + 20*u**2 + 4. Let v(c) = 45*h(c) + 4*q(c). Factor v(r).
5*r**2*(r + 1)**2*(r + 4)
Let n(z) be the second derivative of -z**9/1080 - z**8/1680 + z**7/180 + z**6/180 + z**4/12 - z. Let k(h) be the third derivative of n(h). Factor k(t).
-2*t*(t - 1)*(t + 1)*(7*t + 2)
Let w(t) be the second derivative of -t**7/147 + 4*t**6/105 - 2*t**5/35 - t**4/21 + 5*t**3/21 - 2*t**2/7 + 7*t. Suppose w(y) = 0. Calculate y.
-1, 1, 2
Let g = -147/4 + 1331/36. Let n be (-3 - -3) + 3 + -1. Factor -2/9*q - 2/9 + g*q**n + 2/9*q**3.
2*(q - 1)*(q + 1)**2/9
Let w(k) be the second derivative of k**6/10 - 9*k**5/10 + 13*k**4/4 - 6*k**3 + 6*k**2 - k + 6. Suppose w(l) = 0. Calculate l.
1, 2
Let s be 10/(-4)*(-56)/(-35). Let q be s + (3 - 1) + 6. What is c in 0 + 0*c**3 + 2/7*c**q + 0*c - 2/7*c**2 = 0?
-1, 0, 1
Let j(z) be the second derivative of -29*z**4/66 + 56*z**3/33 + 4*z**2/11 + 17*z. Factor j(h).
-2*(h - 2)*(29*h + 2)/11
Let z = -8 + 14. Let u = z + -2. Factor 1/4*w**5 + 0*w - 1/4*w**2 - 1/4*w**3 + 1/4*w**u + 0.
w**2*(w - 1)*(w + 1)**2/4
Suppose -19*m = -14*m. Solve -2/3*h**2 + m + 2/3*h = 0 for h.
0, 1
Let j = -9 - -12. Solve 2*i**2 + 2 + j*i - 2 - i = 0.
-1, 0
Let n(a) be the first derivative of -2*a + 1/6*a**3 - 1/2*a**2 + 1/16*a**4 - 5. Factor n(l).
(l - 2)*(l + 2)**2/4
Let l(p) be the third derivative of -p**6/24 + p**5/12 + 5*p**4/24 - 5*p**3/6 + 13*p**2. Determine y so that l(y) = 0.
-1, 1
Let b be 2 + -5 + -2 + -1. Let j be -1*1*b/18. Facto