**3 + 42*b**2 + 96/5*b - 66/5*b**5 - 186/5*b**4 - 24/5 = 0.
-2, -1, 2/11, 1
Let z(a) = -14*a**2 + 30*a - 40. Let o(w) = w**2 - w + 2. Let s(h) = 12*o(h) + z(h). Factor s(v).
-2*(v - 8)*(v - 1)
Suppose -3*o - 5 + 11 = 0. Let l(c) be the first derivative of 0*c - 1/3*c**6 + 0*c**2 - 3/2*c**4 - 6/5*c**5 - 2/3*c**3 + o. Let l(i) = 0. What is i?
-1, 0
Let j be 2/7 - (-2)/(-7). Let i = j + 0. Determine c so that c**2 - 4*c + 2*c**2 + i*c**2 + c = 0.
0, 1
Let x(i) be the second derivative of 0*i**2 - 4/45*i**6 + 4/9*i**3 - 1/10*i**5 + 0 - 5*i - 1/63*i**7 + 2/9*i**4. Suppose x(t) = 0. Calculate t.
-2, -1, 0, 1
Suppose 5*p - 30 = -5*c, -18 = -3*p + 3*c - 0*c. Let q(r) = 2*r**2 - 5*r - 3. Let h be q(p). Factor -41*g**2 + 4 - 19*g + 83*g**2 - 17*g + h*g**2.
(9*g - 2)**2
Let n(k) be the third derivative of k**8/784 + 9*k**7/490 + k**6/20 - k**5/70 - 15*k**4/56 - k**3/2 - 196*k**2. Let n(x) = 0. What is x?
-7, -1, 1
Let n(x) = -3554 - 16*x + 3756 - 9*x. Let u be n(8). Let 0 - 12/5*m**u - 7/5*m**3 + 4/5*m = 0. What is m?
-2, 0, 2/7
Let m(n) be the second derivative of -n**7/2520 + n**6/180 + n**5/24 + 7*n**4/12 - 8*n. Let a(p) be the third derivative of m(p). Factor a(i).
-(i - 5)*(i + 1)
Let m(y) = -y**3 - y**2 - 2*y. Let w(z) = 8*z + 48. Let d be w(-6). Let i be m(d). Let -3/4*x**3 + 0*x + i - 3/2*x**2 = 0. Calculate x.
-2, 0
Suppose 10952/5 - 294/5*q**2 + 2/5*q**3 + 10656/5*q = 0. Calculate q.
-1, 74
Let c be 325/35 + (-4)/14. Let p = c + -5. Factor -6*a**2 + 4*a**3 - 4*a**3 + 2*a**3 + p*a.
2*a*(a - 2)*(a - 1)
Let z(b) be the first derivative of 5*b**3/18 + 3*b**2/4 - b/3 + 124. Find j, given that z(j) = 0.
-2, 1/5
Let j(w) be the second derivative of -8*w**7/105 - 8*w**6/25 - 9*w**5/25 - 2*w**4/15 + 4*w + 23. Suppose j(r) = 0. Calculate r.
-2, -1/2, 0
Let x(y) be the third derivative of 4*y**5/15 + 7*y**4/12 - y**3/3 + 347*y**2. Determine v, given that x(v) = 0.
-1, 1/8
Let y(n) be the second derivative of -n**5/20 - n**4/2 - 5*n**3/6 + 3*n**2 - 2*n. Let a be y(-5). Factor -10*v - 2 + 6 + 5*v**4 + 2*v**3 + a*v**2 - 7*v**4.
-2*(v - 1)**3*(v + 2)
Let w(s) be the first derivative of -s**5/24 - 5*s**4/12 - 5*s**3/4 + 3*s - 5. Let k(u) be the first derivative of w(u). Find a such that k(a) = 0.
-3, 0
Let c = -14 + 14. Suppose -m - 3 + 7 = c. Suppose 4*y**2 + y**5 + 0*y**5 + 4 + 8*y**3 + y**5 - 10*y - 8*y**m = 0. Calculate y.
-1, 1, 2
Let j(i) be the third derivative of 1/8*i**4 + i**3 + 24*i**2 + 0 - 1/40*i**5 + 0*i - 1/160*i**6. Solve j(g) = 0 for g.
-2, 2
Let c(q) be the first derivative of 0*q - q**4 - 1/3*q**2 + 2 - 1/9*q**6 + 8/15*q**5 + 8/9*q**3. Factor c(j).
-2*j*(j - 1)**4/3
Let w(b) be the first derivative of b**6/15 + b**5/5 + b**4/6 - 21*b - 18. Let g(y) be the first derivative of w(y). Suppose g(q) = 0. What is q?
-1, 0
Let z be ((-12)/40)/(42/49). Let p = 111/140 - z. Suppose p - 2/7*w**4 + 8/7*w - 6/7*w**2 - 8/7*w**3 = 0. What is w?
-2, -1, 1
Let v(s) be the second derivative of s**5/50 + s**4/5 - 7*s**3/15 - 169*s. Factor v(w).
2*w*(w - 1)*(w + 7)/5
Suppose -4*a = -3*g - 15, 4 + 12 = -4*g + 4*a. Let q be 6 - (g + 10/2). Factor 0 + 2/5*f**3 - 1/5*f**q + 0*f - 1/5*f**4.
-f**2*(f - 1)**2/5
Let d(m) = -3*m**3 - 24*m**2 - 4*m - 25. Let f be d(-10). Let u = f - 3053/5. Suppose 18/5*j**2 - u*j - 2/5*j**3 + 8/5 - 2/5*j**4 = 0. What is j?
-4, 1
Let q = 33 - 22. Let b(d) = 5*d**3 - 21*d**2 + 5*d + 11. Let f(j) = -j**3 + 4*j**2 - j - 2. Let y(p) = q*f(p) + 2*b(p). Factor y(w).
-w*(w - 1)**2
Let -4/7*x**2 + 0 + 52/7*x = 0. What is x?
0, 13
Suppose m - 5*m - 24 = -10*m. Suppose 0 + 16*s**2 + m*s**5 + 30*s**3 + 8/3*s + 58/3*s**4 = 0. Calculate s.
-2, -1/2, -1/3, 0
Suppose 399*p + 2234 = -204*p + 7058. Solve 15/2*w + 3/2*w**3 + p*w**2 - 9 = 0 for w.
-3, 2/3
Let v be ((-36)/(-24))/(20/8). Suppose -1/5*y + 0 + 4/5*y**2 - v*y**3 = 0. What is y?
0, 1/3, 1
Let f be ((-72)/16)/9 - (-350)/196. Factor -15/7*z - 6/7 + f*z**2.
3*(z - 2)*(3*z + 1)/7
Let y(i) be the second derivative of -i**7/14 + 51*i**5/10 + 23*i**4 + 87*i**3/2 + 42*i**2 - 88*i. Let y(j) = 0. Calculate j.
-4, -1, 7
Let v(h) be the second derivative of -18*h**7/7 - 16*h**6/5 + h**5 + 2*h**4/3 - 255*h. Let v(r) = 0. Calculate r.
-1, -2/9, 0, 1/3
Let z(b) be the first derivative of b**6/1800 - b**4/120 - 10*b**3/3 + 5. Let y(a) be the third derivative of z(a). Solve y(r) = 0 for r.
-1, 1
Let j(r) be the third derivative of 1/15*r**6 + 0*r**3 + 7*r**2 + 2/3*r**4 + 7/15*r**5 + 0*r - 2/105*r**7 + 0. Factor j(n).
-4*n*(n - 4)*(n + 1)**2
Suppose -2*o + 2 = -0*o. Suppose -w + o = -2. Factor -c - c**2 + 2*c**w + 7 - 13 + 6.
c*(c - 1)*(2*c + 1)
Let l = 321/61040 + 2/545. Let a(z) be the third derivative of -2/35*z**7 - 3/20*z**6 - 1/8*z**4 + 0*z + 0*z**3 - l*z**8 - 10*z**2 - 1/5*z**5 + 0. Factor a(x).
-3*x*(x + 1)**4
Let d be ((-4)/(-6))/((-98)/3948). Let g = d + 28. Suppose -g*z - 8/7 - 2/7*z**2 = 0. What is z?
-2
Let f(z) be the second derivative of 3*z**5/160 - 63*z**4/32 - z**3/16 + 189*z**2/16 + 9*z - 1. Factor f(v).
3*(v - 63)*(v - 1)*(v + 1)/8
Suppose -7*d = -14*d + 98. Suppose -14*i - 2*i**3 + d*i + 8*i**2 - 2*i**3 = 0. What is i?
0, 2
Let a = 657 + -13137/20. Let p(s) be the second derivative of 1/2*s**3 + 7*s - 1/2*s**4 - a*s**5 + 0 + 3*s**2. What is j in p(j) = 0?
-2, -1, 1
Let d(q) = 6*q**3 + 422*q**2 + 14702*q + 171502. Let z(l) = 13*l**3 + 845*l**2 + 29405*l + 343005. Let r(w) = -5*d(w) + 2*z(w). Solve r(u) = 0.
-35
Let w(m) = -27*m - 270. Let a be w(-10). Let f(u) be the second derivative of 1/2*u**4 - 3/2*u**3 + a + 9*u - 3*u**2 + 9/20*u**5. Factor f(j).
3*(j - 1)*(j + 1)*(3*j + 2)
Let q(j) be the first derivative of j**5/25 + 7*j**4/30 - 4*j**3/5 + 9*j**2/2 + 10. Let r(x) be the second derivative of q(x). Suppose r(v) = 0. Calculate v.
-3, 2/3
Let r = 34117 - 34117. Determine v so that -1/3*v - 1/6*v**2 + r + 1/6*v**3 = 0.
-1, 0, 2
Let l(c) = -2*c + 2. Let m be l(-5). Suppose m = 5*q + w, q + 2*w - 4*w = -2. Find g such that -q*g**4 + 0*g**2 + 2*g**2 - g**4 + g**2 = 0.
-1, 0, 1
Let t(g) = -g**2 + 6*g + 2. Suppose -18 = -3*z - 0*z. Let a be t(z). Factor -4/3 + 7/3*n**a + 4*n.
(n + 2)*(7*n - 2)/3
Let t(c) = -3*c**2 - 6*c - 2. Let j = 39 + -13. Let m = 28 - j. Let r(l) = -l**2 - l + 1. Let z(x) = m*r(x) - t(x). Suppose z(y) = 0. Calculate y.
-2
Factor 5*g**2 - 3*g + 1 + 9*g**2 - g**3 - 5*g**2 - 6*g**2.
-(g - 1)**3
Let s(v) = -2*v**2 + 3*v + 85. Let q be s(0). Let n = -169/2 + q. Suppose 0 + 1/2*f + f**2 + n*f**3 = 0. Calculate f.
-1, 0
Let i be 27/2*-5*(-8)/60. Suppose i = g + 6. Suppose -3*s**2 - 3/2*s + 3/2*s**4 + g*s**3 - 3/2*s**5 + 3/2 = 0. Calculate s.
-1, 1
Suppose -i - 3*o + 19 = -o, -2*o + 8 = 0. Suppose 10 = 2*h + 4*m, 5*h - i = -2*m + 6*m. Factor -h*t + 4*t**2 - 2*t**3 + t + 0*t.
-2*t*(t - 1)**2
Let c(i) be the second derivative of -i**7/1120 - i**6/480 - i**5/480 + 29*i**4/12 - 22*i. Let t(z) be the third derivative of c(z). Factor t(w).
-(3*w + 1)**2/4
Suppose -3469*j + 3478*j = 0. Determine y so that j*y**3 + 0 - y**4 + 1/2*y**5 + y**2 - 1/2*y = 0.
-1, 0, 1
Determine k so that k**5 + 2*k**4 - 4*k + 6*k**3 + 4*k**3 - 13*k**3 - 8*k**2 = 0.
-2, -1, 0, 2
Suppose -42*n + 109*n = 867*n. Suppose n + 9/5*t + 1/5*t**2 = 0. What is t?
-9, 0
Let u(p) be the first derivative of p**6/540 - p**5/270 - p**4/54 - 3*p**2/2 + 13. Let g(l) be the second derivative of u(l). Factor g(j).
2*j*(j - 2)*(j + 1)/9
Let j(h) be the second derivative of -h**2 + 0*h**3 + 0 - 1/36*h**4 - 5*h + 1/180*h**6 + 0*h**5. Let c(u) be the first derivative of j(u). Factor c(v).
2*v*(v - 1)*(v + 1)/3
Let t(g) be the first derivative of 576*g + 4/3*g**3 + 43 - 48*g**2. Determine n so that t(n) = 0.
12
Let h(l) = 9*l**4 - 37*l**3 + 65*l**2 + 15*l - 88. Let r(f) = 200*f**4 - 815*f**3 + 1430*f**2 + 330*f - 1935. Let p(c) = -45*h(c) + 2*r(c). Factor p(g).
-5*(g - 3)**2*(g - 2)*(g + 1)
Let f = -16 - -18. Suppose 12 = -f*c + 6*c. Determine n, given that 3*n**c + 7 - 6*n**3 - 3*n**2 - 4 + 3*n = 0.
-1, 1
Let h(l) be the second derivative of 29/84*l**4 + 0 - 3*l + 2/7*l**2 - 9/140*l**5 - 4/7*l**3. Factor h(r).
-(r - 2)*(r - 1)*(9*r - 2)/7
Let 21*j**4 + 3*j**5 - 5*j + 25 + 10*j**3 + 4*j**4 - 50*j**2 - 19*j**5 + 11*j**5 = 0. What is j?
-1, 1, 5
Let o be (-4)/14*1/(-6)*-293. Let v = 100/7 + o. Factor a**4 - a + 2/3*a**3 - 2/3*a**2 - v