rst derivative of -4/3*o - 1/9*o**3 + 2/3*o**2 - 3. What is i in a(i) = 0?
2
Let u(h) be the second derivative of 0*h**4 + 3*h + 2/165*h**6 - 1/231*h**7 + 0*h**2 - 1/110*h**5 + 0 + 0*h**3. Let u(t) = 0. Calculate t.
0, 1
Let z(c) be the second derivative of c**7/315 + c**6/60 + c**5/90 - c**3/6 - c. Let r(a) be the second derivative of z(a). Solve r(i) = 0 for i.
-2, -1/4, 0
Let v(t) be the second derivative of 0 - 1/60*t**5 + 0*t**2 - 1/18*t**3 - 1/18*t**4 + 6*t. Factor v(c).
-c*(c + 1)**2/3
Suppose -13 + 13 = 2*q. Solve 1/4*n**4 + 0*n + q*n**2 - 1/4*n**3 + 0 = 0.
0, 1
Let t(c) = 10*c**3 + 2*c**2 - 10*c - 2. Let i(y) = -29*y**3 - 6*y**2 + 29*y + 6. Let o(m) = 3*i(m) + 8*t(m). What is z in o(z) = 0?
-1, -2/7, 1
Suppose 0 = u - 0*u - 2*n + 44, -140 = 3*u - 2*n. Let j be 2/1 - u/(-42). Suppose 2/7*c**3 - 2/7*c + j*c**2 + 0 - 6/7*c**4 = 0. What is c?
-1, 0, 1/3, 1
Let c be (-8)/28 - 20/(-21). Let x(s) be the third derivative of -s**2 + 0*s - c*s**4 + 1/6*s**5 + 4/3*s**3 + 0 - 1/60*s**6. Find i, given that x(i) = 0.
1, 2
Let l(c) be the second derivative of -c**5/30 - 7*c**4/18 - 5*c**3/3 - 3*c**2 + 26*c. Determine x so that l(x) = 0.
-3, -1
Let q(c) = -4*c - 7. Let p be q(-8). Suppose 7*s = 2*s + p. Factor -2*o**3 + 4*o**3 - 4*o**2 + s*o**2 - o**3.
o**2*(o + 1)
Let b(p) be the first derivative of -5*p**4/4 + 10*p**3/3 + 15*p**2/2 + 19. Suppose b(a) = 0. Calculate a.
-1, 0, 3
Let t(q) be the second derivative of q**5/100 + q**4/30 + q**3/30 - 5*q. Let t(i) = 0. What is i?
-1, 0
Let v be -10*1/(-2)*1. Let k = v - 4. Factor 3*n**2 - 4*n + 0*n - k - 9*n**2 - n**4 - 4*n**3.
-(n + 1)**4
Let u be (12 + -10)/((-14)/(-4)). Let x = -13 + 15. Determine l, given that -2/7*l**4 + 4/7*l**3 + 2/7 - u*l + 0*l**x = 0.
-1, 1
Suppose 0 = 172*u - 177*u + 20. Let n(k) be the second derivative of -k**3 + u*k + 0*k**2 - 3/20*k**5 - 3/4*k**4 + 0. Determine y, given that n(y) = 0.
-2, -1, 0
Solve -32/3*o**2 + 200/3 - 4/3*o**3 - 20/3*o = 0.
-5, 2
Let h(y) be the first derivative of -y**6/600 - y**5/150 - y**4/120 - 5*y**2 - 9. Let d(n) be the second derivative of h(n). Factor d(x).
-x*(x + 1)**2/5
Let w(o) be the third derivative of -o**8/336 + o**7/105 + o**6/60 - o**5/15 - o**4/24 + o**3/3 - 6*o**2. Suppose w(j) = 0. Calculate j.
-1, 1, 2
Let d(i) = -i + 7. Let o be d(5). Let q(c) be the third derivative of -1/24*c**4 + 1/60*c**5 + 0*c**3 - o*c**2 + 0*c + 0. Factor q(m).
m*(m - 1)
Let d(h) be the third derivative of -h**6/360 + h**5/18 - 17*h**4/72 + 4*h**3/9 - h**2 + 4. Solve d(w) = 0.
1, 8
Let s(w) = -2*w**2 - 5*w - 4. Let r(q) = -1. Let z = -3 - -4. Let c(t) = z*s(t) - 2*r(t). Factor c(p).
-(p + 2)*(2*p + 1)
Let o(k) be the third derivative of k**7/1120 - 3*k**5/160 + k**4/16 + 5*k**3/6 - 2*k**2. Let b(p) be the first derivative of o(p). Let b(v) = 0. Calculate v.
-2, 1
Let f(p) = 2*p - 10. Let n be f(7). Let b be n/(-14) - (-180)/336. Factor 0*c + 0 + b*c**3 + 1/4*c**2.
c**2*(c + 1)/4
Suppose f = -5*f + 12. Let s(a) be the second derivative of 1/6*a**f + 0 + 1/30*a**5 - 1/9*a**3 + a - 1/90*a**6 + 0*a**4. Factor s(j).
-(j - 1)**3*(j + 1)/3
Let d = 24/13 + -4/143. Factor 2/11*b**5 + 10/11*b - 10/11*b**4 - 2/11 + d*b**3 - 20/11*b**2.
2*(b - 1)**5/11
Let c be (-7)/(-42)*(2 - 28/(-4)). Let -m**3 + 1/4*m**4 + c*m**2 + 1/4 - m = 0. Calculate m.
1
Let u(r) = r + 4. Let f be u(-5). Let j be 1*(-4 - -2)*f. Let 4*h**2 - 3*h**j - 1 + 0*h**2 = 0. What is h?
-1, 1
Factor 9/5*z**2 + 12/5*z - 12/5.
3*(z + 2)*(3*z - 2)/5
Factor -3/2*l**4 + 0 + 3*l + 0*l**3 + 9/2*l**2.
-3*l*(l - 2)*(l + 1)**2/2
Let n(k) be the first derivative of -k**3/5 - 3*k**2/10 - 2. Factor n(q).
-3*q*(q + 1)/5
Let w(f) = f**3 + 4*f**2 - 4*f + 7. Let x be w(-5). Let 2/5 + 2/5*s**x + 4/5*s = 0. What is s?
-1
Let f(z) = 14*z**4 - 14*z**3 - 8*z**2 + 18*z - 4. Let j(w) = -w**4 - w**3 - w. Let t be 20 + -16 + -3*1. Let y(s) = t*f(s) + 2*j(s). Factor y(o).
4*(o - 1)**2*(o + 1)*(3*o - 1)
Let w be 10*(-1 + (1 - 1)). Let g be w/(-6) + (-14)/(-42). Factor -c**g - 1/2*c**3 - 1/2*c + 0.
-c*(c + 1)**2/2
Let r(o) be the first derivative of o**8/2520 - o**7/1260 - o**6/180 + o**5/36 - o**4/18 - o**3 - 3. Let f(n) be the third derivative of r(n). Factor f(w).
2*(w - 1)**3*(w + 2)/3
Let g(c) = c**2 - 2*c - 1. Let x be g(3). Suppose -10*h**2 + 12*h**2 + h + h**3 + x - 2 = 0. What is h?
-1, 0
Let l(b) = b**3 + 3*b**2 - b + 1. Let i be l(-3). Factor -2*c**4 + c**4 + 3*c**2 - 4*c**3 + 2*c - 4*c**4 + c**i - 1.
-(c + 1)**2*(2*c - 1)**2
Let c be 3/(-2 - -11)*18. Suppose c*r**2 - 6*r - 6 + 3*r - 3*r + 3*r**3 + 3*r = 0. What is r?
-2, -1, 1
Let w(h) be the second derivative of -h**6/15 + h**5/10 + h**4/6 - h**3/3 - h. Let w(y) = 0. Calculate y.
-1, 0, 1
Suppose 4*j + c = 44, -5*j - 6 = -4*j - 4*c. Let i = j - 10. Factor 0*f - 2*f**3 + 4*f**3 + i*f.
2*f**3
Let q = -1/75 - -31/75. Let r be 0/(-4 - (-2)/1). Suppose 0 + 4/5*o**4 - 2/5*o**5 + 0*o**2 - q*o**3 + r*o = 0. Calculate o.
0, 1
Determine b, given that -1/3*b**2 - 2/3*b - 1/3 = 0.
-1
Let p = 12 - 7. Let k = p + -5. Factor k*h - h - h**2 + 2*h.
-h*(h - 1)
Factor 18/5*v**3 - 12/5*v**2 - 12/5*v**4 + 0 + 3/5*v**5 + 3/5*v.
3*v*(v - 1)**4/5
Let j be (-48)/(-70) - (-34)/(-119). Suppose 2*d - 4 = -0. Solve j - 2/5*c**d + 0*c = 0.
-1, 1
Suppose -3*j = -g - 7, -2*g - j = g - 19. Factor 0*i**3 + 0 + 0*i**2 + 2/9*i**4 - 2/9*i**g + 0*i.
-2*i**4*(i - 1)/9
Let z(u) be the third derivative of 0 - 1/44*u**4 + 0*u + 4*u**2 + 0*u**5 + 1/660*u**6 + 2/33*u**3. Let z(a) = 0. What is a?
-2, 1
Let z = -37 + 37. Let c(t) be the third derivative of 1/360*t**6 + 0*t + 0*t**4 + 0*t**5 + 0*t**3 + 1/630*t**7 + 2*t**2 + z. Let c(a) = 0. Calculate a.
-1, 0
Let -2*w - 8*w**4 - 2*w + 8*w**2 - w**4 + 4*w**5 + w**4 = 0. Calculate w.
-1, 0, 1
Solve -41*v**2 + 73*v**2 + 66 + 32*v**3 + 128*v - 2 + 64*v**2 + 4*v**4 = 0 for v.
-2
Suppose 7*a = 22*a. Let -1/2*r**2 + 1/2*r**4 + r**3 - r + a = 0. What is r?
-2, -1, 0, 1
Suppose -21*f + 0*f = -42. Solve -2*x + 3 + 1/3*x**f = 0.
3
Let r be ((-3)/12)/(((-234)/(-48))/(-3)). Let 2/13*z + 4/13*z**2 + 0 + r*z**3 = 0. Calculate z.
-1, 0
Suppose -4*a = 5*g - 22, -2*a + 1 = 2*g - 9. Suppose -2*m + 1 + 5 = -2*p, -5*m + 33 = 4*p. Factor 0*q**p + 2*q**2 + q - a*q.
2*q*(q - 1)
Let q be ((-7)/3 - (-3 - -1))/(-25). Let d(t) be the second derivative of 0*t**3 - 1/30*t**4 + 0 + q*t**6 + 0*t**5 - 2*t + 0*t**2. Factor d(v).
2*v**2*(v - 1)*(v + 1)/5
Let w(g) be the third derivative of g**5/540 - 5*g**4/216 - g**3/9 + 44*g**2. Suppose w(a) = 0. Calculate a.
-1, 6
Let b = 8 - 6. Factor 4*t**2 - 5*t**b + 3 - t**2 - 2*t + 1.
-2*(t - 1)*(t + 2)
What is o in 2*o**3 - 9*o**2 - 5 + 3*o**2 + 1 - 174*o + 2*o**4 + 164*o = 0?
-1, 2
Let y(l) = l**2 + 1. Let a(h) = -3*h**2 - 84*h + 48. Let c(p) = a(p) - 12*y(p). Factor c(g).
-3*(g + 6)*(5*g - 2)
Suppose -i + 216 = -5*i. Let r = i - -164/3. Factor -7/3*v**5 + 0*v + 0 - r*v**2 - 11/3*v**3 - 16/3*v**4.
-v**2*(v + 1)**2*(7*v + 2)/3
Suppose 2*t + 4*f - 12 = 0, 4*t = 2*f + 3*f - 2. Determine n, given that 2/7*n + 2/7*n**t - 4/7 = 0.
-2, 1
Let v(w) be the third derivative of -w**8/84 + 8*w**7/105 + w**6/10 - 6*w**5/5 - w**2. Factor v(f).
-4*f**2*(f - 3)**2*(f + 2)
Let s = 10 + -4. Let f(z) be the third derivative of z**2 + 1/240*z**s + 1/48*z**4 - 1/60*z**5 + 0*z + 0*z**3 + 0. Find b, given that f(b) = 0.
0, 1
Let m(i) be the third derivative of 1/90*i**6 - 1/72*i**4 + 0 + 4*i**2 - 1/60*i**5 + 0*i**3 + 0*i. Factor m(h).
h*(h - 1)*(4*h + 1)/3
What is f in 2*f**3 - 3 + 2*f + f**3 - 3*f + 3*f**2 - 2*f = 0?
-1, 1
Let f(r) be the second derivative of -1/24*r**4 - 6*r + 0 + 0*r**3 + 0*r**2 - 1/84*r**7 + 1/60*r**6 + 1/40*r**5. Factor f(s).
-s**2*(s - 1)**2*(s + 1)/2
Let c(m) = -m - 1. Let s(j) = 2*j**2 + 8*j - 3. Let h(b) = 4*c(b) + s(b). Let p(i) = -3*i + i**2 + 0*i - 5 + 6*i. Let x(f) = -5*h(f) + 7*p(f). Factor x(t).
-t*(3*t - 1)
Let 0 + 2/9*f**2 + 0*f = 0. What is f?
0
Solve -648 + 143*k - 9*k**2 - 45*k**2 + 3*k**3 + 181*k = 0 for k.
6
Let b(g) = 14*g**4 - 48*g**3 + 42*g**2 - 10*g - 2. Let o(w) = -56*w**4 + 193*w**3 - 169*w**2 + 41*w + 9. Let z(r) = 9*b(r) + 2*o(r). Factor z(q).
2*q*(q - 2)*(q - 1)*(7*q - 2)
Let 3*q + 17*q + 13*q**3 + 5*q**4 + 5 + 7*q**3 + 30*q**2 = 0. Calculate q.
-1
Let m be ((-2)/5)/((-11)/55). Factor 2/11*k**4 - 4/11*k**m + 2/11*k + 2/11*k**5 - 4/1