*3 + 1/4*n**2 + 0 = 0. Calculate n.
-1, 0
Let w(m) be the second derivative of -m**6/270 + m**5/180 + m**4/108 - m**3/54 + 17*m. Factor w(a).
-a*(a - 1)**2*(a + 1)/9
Let j(x) = -129*x**4 + 144*x**3 + 192*x**2 - 177*x - 63. Let t(r) = 8*r**4 - 9*r**3 - 12*r**2 + 11*r + 4. Let a(h) = 2*j(h) + 33*t(h). What is q in a(q) = 0?
-1, -1/2, 1, 2
Let u be (2/(-20))/(2/(-5)). Factor 1/2 + 3/4*o + u*o**2.
(o + 1)*(o + 2)/4
Let l(s) be the first derivative of s**6/2 + s**5/5 - s**4/2 - 19. Factor l(w).
w**3*(w + 1)*(3*w - 2)
Let l(t) be the third derivative of -t**7/3780 + t**6/540 - t**5/180 + 5*t**4/24 - 4*t**2. Let j(s) be the second derivative of l(s). Factor j(z).
-2*(z - 1)**2/3
Let j(v) be the first derivative of -v**3 - 6*v**2 + 15*v - 22. Find p, given that j(p) = 0.
-5, 1
Let o = -8 - -10. What is n in 2*n**2 - 3*n**2 + 4*n - 4 + 4*n**2 - 4*n**o = 0?
2
Let y(r) be the third derivative of r**5/150 - r**3/15 - 5*r**2. Find z, given that y(z) = 0.
-1, 1
Let x(v) be the second derivative of v**6/360 + v**5/60 + v**4/24 + v**3/18 + 2*v**2 - v. Let j(r) be the first derivative of x(r). Solve j(n) = 0.
-1
Let f(u) be the second derivative of 2*u + 1/2*u**4 + 0 + 3/20*u**5 + 0*u**3 + 0*u**2. Determine z, given that f(z) = 0.
-2, 0
Let s(k) = k**2. Let a(b) = b. Let q(r) = -2*a(r) + 2*s(r). Factor q(p).
2*p*(p - 1)
Let b(t) be the first derivative of -t**6/9 + 2*t**5/3 - 5*t**4/3 + 20*t**3/9 - 5*t**2/3 + 2*t/3 + 7. Factor b(i).
-2*(i - 1)**5/3
Let f(c) be the first derivative of -c**5/5 + c**4/4 + c**3/3 - c**2/2 - 7. Find x such that f(x) = 0.
-1, 0, 1
Let s be (7 - 7)*-1*(-1)/2. Let v(i) be the first derivative of -1 - 1/14*i**4 + s*i**2 + 2/35*i**5 - 2/21*i**3 + 1/21*i**6 + 0*i. Suppose v(r) = 0. What is r?
-1, 0, 1
Let x = -43 + 45. Factor -x*t + 2/3*t**3 + 0*t**2 - 4/3.
2*(t - 2)*(t + 1)**2/3
Let -6*h**2 + 134*h**5 - 161*h**5 - 13*h - 2*h + 9*h**4 + 42*h**3 - 3 = 0. Calculate h.
-1, -1/3, 1
Let z(j) be the first derivative of 3 + 4*j**3 + 2*j + 2/5*j**5 - 4*j**2 - 2*j**4. Factor z(i).
2*(i - 1)**4
Let i(t) be the first derivative of 0*t**2 - 3 + t**3 + 0*t + 3/4*t**4. Factor i(r).
3*r**2*(r + 1)
Let u(q) be the second derivative of -7*q**5/2 - 1255*q**4/24 + 55*q**3/12 + 45*q**2/2 + 4*q - 10. Solve u(j) = 0.
-9, -1/4, 2/7
Let k(j) = -j**5 - 4*j**4 + j**3 + 7*j**2 + 3. Let m(i) = 2*i**5 + 4*i**4 - 2*i**3 - 6*i**2 - 2. Let o(q) = -2*k(q) - 3*m(q). Suppose o(y) = 0. What is y?
-1, 0, 1
Let c(x) be the third derivative of 0*x**6 - x**2 + 1/315*x**7 + 0*x + 0 + 0*x**5 + 0*x**4 + 0*x**3. Determine v so that c(v) = 0.
0
Let h be 3 - (0 + 1)/1. Factor -y**4 - 2*y**2 - y**h + 3*y - 2*y + 3*y**3.
-y*(y - 1)**3
Let r be 8/36 + 16/9. Solve -v**2 + 3*v**2 + 3*v**3 + r*v**4 + v**3 = 0.
-1, 0
Factor 17*v - 32*v**3 + 32 - 2*v**5 + 4*v**4 - 2*v**4 - 16*v**4 + 15*v - 16*v**2.
-2*(v - 1)*(v + 2)**4
Factor -3*v**3 - v**4 + 0*v**3 + 3*v - v**2 + 37 - 35.
-(v - 1)*(v + 1)**2*(v + 2)
Let q be 1*-3 - (15 + -11). Let p be (6/q)/((-72)/112). Factor -2/3*i**2 + p*i - 2/3.
-2*(i - 1)**2/3
Let x(p) be the second derivative of 0 + 3*p - 1331/10*p**5 - 8*p**2 - 121*p**4 - 44*p**3. Factor x(z).
-2*(11*z + 2)**3
Let l(q) = q + 1. Let b be l(1). Factor 0*n**3 + 4*n**4 - 2*n**b - 2 + n**2 + 5*n**3 - 5*n - n**4.
(n - 1)*(n + 1)**2*(3*n + 2)
Let u(t) = 3*t**2 + 2 + 4*t**2 - t**2 - 2*t**3 + t**3 - 5*t. Let v be u(5). Factor v*h**3 + 0*h**5 + h - 2*h - h**5.
-h*(h - 1)**2*(h + 1)**2
Let r(b) be the first derivative of -7*b**6/24 - 9*b**5/20 - b**4/8 + 1. Suppose r(n) = 0. Calculate n.
-1, -2/7, 0
Let r(j) be the third derivative of j**7/1260 - j**6/144 + 7*j**5/360 - j**4/48 - 21*j**2. Solve r(g) = 0 for g.
0, 1, 3
Suppose 0*y + 20 = 5*y. Let v(w) be the third derivative of w**2 + 0*w**y + 1/270*w**5 + 0 + 0*w + 0*w**3. Determine i so that v(i) = 0.
0
Let r(g) be the first derivative of -g**6/15 - 2*g**5/25 + g**4/10 + 2*g**3/15 + 37. Determine o, given that r(o) = 0.
-1, 0, 1
Let k = 15 + -13. Suppose -4*q - 16*q**2 + 2*q + 15*q**k = 0. Calculate q.
-2, 0
Suppose -4*j + 4*r = j - 50, -3*r - 9 = j. Let w = -2 - -4. Factor -2*c**3 + 2 - 5*c - 3*c + 12*c**w - j*c**3 + 2*c**4.
2*(c - 1)**4
Let r(i) be the second derivative of -i**6/15 - 3*i**5/20 + i**4/6 + 4*i. Factor r(w).
-w**2*(w + 2)*(2*w - 1)
Find r, given that 12*r**2 - r + 0 - 3 - 8*r = 0.
-1/4, 1
Let f(i) be the first derivative of 0*i**3 - 3 - 1/80*i**5 + 0*i**2 - 1/120*i**6 + i + 0*i**4. Let c(j) be the first derivative of f(j). Factor c(r).
-r**3*(r + 1)/4
Let p be ((-2)/(-105))/((-96)/(-56)). Let o(l) be the second derivative of 4/9*l**2 + 0 + 2*l + 8/27*l**3 + p*l**5 + 5/54*l**4. Find a, given that o(a) = 0.
-2, -1
Let x be (-5)/((-225)/6) - (-2)/10. Factor x + 1/3*b**2 - 2/3*b.
(b - 1)**2/3
Solve -2*h**5 + 4*h**3 + 2 - 2*h**5 - 2 = 0.
-1, 0, 1
Suppose 0 = i + i. Find v such that 10*v + i*v + 1 - 8*v + v**2 = 0.
-1
Determine w, given that 0 - 2/3*w**3 + 0*w + w**4 - 1/3*w**5 + 0*w**2 = 0.
0, 1, 2
Let v(c) = -c**5 - 5*c**4 - 4*c**3 - 3*c**2 + 3. Let b(y) = 5*y**4 + 5*y**3 + 4*y**2 - 4. Suppose -2*w = -3*w - 4. Let f(k) = w*v(k) - 3*b(k). Solve f(z) = 0.
-1, -1/4, 0
Let y be (-74)/(-14) - (5 + 0/8). Find j, given that y*j**2 + 2/7*j - 4/7 = 0.
-2, 1
Let a = 581/745 - -3/149. Suppose -2*h = -c - 8, -5*c = h + 21 - 3. Let 4/5*s**2 - a - 2*s**3 + h*s = 0. What is s?
-1, 2/5, 1
Factor 4/3 + 2/3*h**3 + 1/3*h**4 - h**2 - 4/3*h.
(h - 1)**2*(h + 2)**2/3
Let k(q) be the third derivative of 0*q - 4*q**2 + 0 + 0*q**3 + 1/120*q**5 + 1/96*q**4. Solve k(x) = 0.
-1/2, 0
Let s(j) = -3*j + 3. Let f be s(4). Let c = 16 + f. What is y in -y**3 - 4*y**2 - 2 - c*y + 0*y + 2*y = 0?
-2, -1
Let u(y) be the first derivative of 4*y**3/3 + 15. Factor u(g).
4*g**2
Let r be (-1 - 6/(-1)) + 0. Let u be 2/7 + r/105. Factor u*j**2 + 1/3 + 2/3*j.
(j + 1)**2/3
Let q(h) be the third derivative of h**5/210 + h**4/84 - 2*h**3/21 - 6*h**2. Determine g, given that q(g) = 0.
-2, 1
Factor -7*w**2 + 4 + 6*w**3 - 11*w**3 + 8*w**3.
(w - 2)*(w - 1)*(3*w + 2)
Let r(u) = u + 1. Let o be r(1). Suppose 5*p + 5*j = 20, -3*j = -4*p + o*j - 2. Factor 1/2*m**p + m + 1/2.
(m + 1)**2/2
Let i(z) be the first derivative of z**5/90 - z**4/36 + z**2 + 1. Let g(u) be the second derivative of i(u). Find j, given that g(j) = 0.
0, 1
Let p be (-4)/8*(-4 + 0). Let k(w) be the first derivative of -1/12*w**4 + 1/3*w**p + 3 + 0*w - 1/9*w**3. Solve k(h) = 0.
-2, 0, 1
Let g(q) be the first derivative of -q**4/48 + q**2/8 - 5*q - 1. Let h(v) be the first derivative of g(v). Find s, given that h(s) = 0.
-1, 1
Let s(h) = h**2 + 2*h + 1. Let b(w) = w**2 + 9*w + 2. Let d(z) = -b(z) + 2*s(z). Factor d(x).
x*(x - 5)
Suppose 1 - 13 = -4*w. Let -2*s - 2*s**3 + w*s**3 + s = 0. What is s?
-1, 0, 1
Find j such that 3/2*j + 5/3 - 1/6*j**2 = 0.
-1, 10
Factor 12 + 56*w - 373 - 2*w**2 - 31.
-2*(w - 14)**2
Let f(w) be the third derivative of -w**8/168 + w**6/60 + 15*w**2. Solve f(r) = 0 for r.
-1, 0, 1
Let b be 6/4*(-6)/(-81). Let c(p) be the third derivative of b*p**3 + 1/315*p**7 - 1/45*p**5 + 0*p**4 + 0 - p**2 + 0*p**6 + 0*p. Factor c(l).
2*(l - 1)**2*(l + 1)**2/3
Let c(q) be the third derivative of 0*q + 1/420*q**7 + 2*q**2 + 0*q**3 + 0 - 1/120*q**5 + 1/240*q**6 - 1/48*q**4. Find p, given that c(p) = 0.
-1, 0, 1
Let u(t) = -t**2 - 19*t - 15. Let c be u(-18). What is q in 2*q - c - 1/3*q**2 = 0?
3
Suppose 5*j - 5*s - 11 = 39, -14 = -j + 3*s. Factor 6*y**3 + 2*y**4 - 1 + 2*y + 1 + j*y**2 - 2*y**2.
2*y*(y + 1)**3
Let 2*g**2 + g - 3*g**2 + 3*g + 5*g**2 = 0. What is g?
-1, 0
Let y(l) = l**2 + 7*l + 9. Let g be (-4)/14 - (-40)/(-7). Let v be y(g). Factor -1 + 0*u**2 - 2*u**2 + v*u**2.
(u - 1)*(u + 1)
Let g(k) be the third derivative of -k**6/720 - k**5/90 + k**4/144 + k**3/9 + 29*k**2. Determine f so that g(f) = 0.
-4, -1, 1
Let p be 1 + -6 + (-3 - -6). Let g = -2 - p. Factor 0*t + 1/5*t**2 + g.
t**2/5
Let c(p) be the first derivative of 21*p**4/20 - p**3 - 3*p**2/5 - 15. Find v such that c(v) = 0.
-2/7, 0, 1
Let o(b) = -12*b**3 - 6*b**2 - 6*b + 4. Let z(h) = -23*h**3 - 13*h**2 - 11*h + 7. Let k(j) = 7*o(j) - 4*z(j). Find n such that k(n) = 0.
-1, -1/4, 0
Suppose 3*v + 42 = -138. Let k = -239/4 - v. Suppose 0 + k*o**2 + 0*o - 1/4*o**3 = 0. Calculate o.
0, 1
Factor -2/3*t**2 - 10/3*t - 2 + 2/3*t**3.
2*(t - 3)*(t