 0 + 0*s - a*s**3 = 0 for s.
-1, 0, 1
Let -81/4*a**2 - 121 - 99*a = 0. What is a?
-22/9
Let u = 1/514 + 197/30840. Let p(f) be the third derivative of -u*f**5 + 0*f + 1/12*f**3 + 0 + 0*f**4 - 2*f**2. Let p(y) = 0. What is y?
-1, 1
Let n(u) be the first derivative of u**6/420 + u**5/210 - 9*u**2/2 + 4. Let i(m) be the second derivative of n(m). Factor i(o).
2*o**2*(o + 1)/7
Let a(p) = p**3 + 21*p**2 - 31*p + 3. Let r(v) = -20*v**2 + 32*v - 4. Let g(j) = -4*a(j) - 3*r(j). Let g(u) = 0. What is u?
-7, 0, 1
Let b(v) be the second derivative of -v**4/24 - 13*v**3/12 + 15*v**2/2 + 279*v. Factor b(q).
-(q - 2)*(q + 15)/2
Solve -60 - 43*l + 0*l**2 + 85*l + 14*l + 4*l**2 = 0 for l.
-15, 1
Let a(h) be the second derivative of -h**8/600 - h**7/1050 + 7*h**6/900 + h**5/150 - 4*h**3/3 - 13*h. Let q(b) be the second derivative of a(b). Solve q(w) = 0.
-1, -2/7, 0, 1
Suppose -3*p + 60 = -8*p. Let n be ((-6)/(-18))/((-2)/p). Factor 2/9*k**n - 4/9 - 2/9*k.
2*(k - 2)*(k + 1)/9
Let o(l) = -6*l**2 + 2*l + 8. Let x(m) = 5*m**2 - 2*m - 6. Let j(t) = -3*o(t) - 4*x(t). Factor j(c).
-2*c*(c - 1)
Let 14*y - 5 - 277*y**2 + 279*y**2 + 17 + 0 = 0. Calculate y.
-6, -1
Let l(y) = 5*y**3. Let u be l(1). Suppose 2*i + 8 = p + 7*i, u*p = 5*i + 10. Suppose a**2 + 8 - p + 6*a + 1 + 3 = 0. Calculate a.
-3
Let i(m) be the third derivative of 1/12*m**3 + 0*m**6 - 1/60*m**5 - 9*m**2 + 1/420*m**7 + 0 + 0*m**4 + 0*m. Factor i(h).
(h - 1)**2*(h + 1)**2/2
Let d(j) be the third derivative of j**7/2520 - j**5/120 - j**4/2 - 17*j**2. Let c(y) be the second derivative of d(y). Factor c(n).
(n - 1)*(n + 1)
Let y(w) = -w**2 + w + 10. Let z be y(4). Let o be ((-3)/(5 + z))/(2/(-6)). Solve -6/7*n**o + 0 + 8/7*n - 2/7*n**5 - 8/7*n**2 + 8/7*n**4 = 0 for n.
-1, 0, 1, 2
Let v(z) = -z**2 + 3*z + 3. Let o = 37 - 34. Let q be v(o). Factor 0*l**2 + 0*l + 5/2*l**4 - l**q + 0.
l**3*(5*l - 2)/2
Let f be (-4 - -2) + -4 + 2. Let a be ((-22)/(-11))/(2*-1*f). Factor -1/4 - 1/4*b**3 + 1/4*b**2 + a*b.
-(b - 1)**2*(b + 1)/4
Let x(b) = -b**3 - 18*b**2 + b + 12. Let t be x(-18). Let j(n) = -n - 4. Let g be j(t). Determine i so that 169/4*i**g + 1 + 13*i = 0.
-2/13
Find g, given that -9 + 31 - 2*g**4 - 102*g**2 + 54*g**3 - 11 + 50*g - 11 = 0.
0, 1, 25
Let b be (1 - 9 - (6525/(-36))/25)/(-3). Factor w**3 - b - 9/4*w**2 + 3/2*w.
(w - 1)**2*(4*w - 1)/4
Let 96*r - 360 - 2/3*r**3 - 2*r**2 = 0. What is r?
-15, 6
Suppose -2*p - 4*d = 4, -18*d = -3*p - 14*d + 4. Let -3/2*o - 3/2*o**2 + p = 0. Calculate o.
-1, 0
Factor -28/5*d**3 + 45 + 84*d + 1/5*d**4 + 166/5*d**2.
(d - 15)**2*(d + 1)**2/5
Suppose 0 = 3*d - 615 - 771. Let r be (-88)/d*(-3)/2. Factor -6/7*y**3 - r*y**4 + 0 + 6/7*y + 2/7*y**2.
-2*y*(y - 1)*(y + 1)*(y + 3)/7
Suppose 0 = -3*o + 2*i + 6, -30 + 38 = 4*o - 4*i. Let t(w) be the second derivative of -8/3*w**3 + 4*w + 7/12*w**4 + o*w**2 + 0. Find d, given that t(d) = 0.
2/7, 2
Let i(m) = 2*m - 2. Let l be i(8). Let f be (28/(-49))/((-4)/l). Factor -12*v + 2*v**f + 31 - 13 + 24*v.
2*(v + 3)**2
Factor 0 - 36*d + 1/2*d**2.
d*(d - 72)/2
Let u(r) = -r + 1. Let a(i) = -2*i**3 + 32*i**2 - 96*i - 110. Let w(q) = a(q) - 10*u(q). Factor w(c).
-2*(c - 12)*(c - 5)*(c + 1)
Suppose -24 = -6*r - 0*r. Let l(a) be the second derivative of 1/10*a**6 + 0 + 0*a**2 + 1/4*a**r + 3*a + 0*a**3 - 3/10*a**5. Let l(j) = 0. What is j?
0, 1
Factor -2*y**3 - 14*y**5 + 17*y**3 + 17*y**5 - 6*y**2 - 32*y**4 + 20*y**4.
3*y**2*(y - 2)*(y - 1)**2
Let p(g) = -5*g**4 + 11*g**3 - 42*g**2 + 40*g - 22. Let n(c) = -29*c**4 + 67*c**3 - 250*c**2 + 240*c - 130. Let m(w) = 6*n(w) - 34*p(w). Factor m(q).
-4*(q - 2)**3*(q - 1)
Let i(n) = -4*n - 20. Let q be i(-6). Factor -16 - 13*v - 34*v**3 - 8*v**2 + 21*v**2 - 11*v + 47*v**2 + 6*v**q.
2*(v - 2)**3*(3*v + 1)
Let u(n) = 5*n**2 + 16*n + 28. Let m(s) = 7*s**2 + 17*s + 30. Let c(a) = 4*m(a) - 6*u(a). Determine o so that c(o) = 0.
-12, -2
Suppose 3*a = -2*d - 2, -1 = 3*d + 5*a + 3. Let -3*n**d - 7*n**5 - 18*n**4 + n**2 + 2*n**4 - 11*n**3 = 0. What is n?
-1, -2/7, 0
Factor -495 - 1509 - 1121 + 250*c - 5*c**2.
-5*(c - 25)**2
Let h(r) = -3*r**2 + 6*r + 5. Let j(u) = 7*u**2 - 13*u - 12. Let l(v) = -9*h(v) - 4*j(v). Factor l(d).
-(d - 1)*(d + 3)
Let k be ((-28)/12)/(2/18). Let j be 91/3 + (-14)/k. Solve -c - c**2 - 30*c**4 + j*c**4 + c**3 + 1 - 1 = 0.
-1, 0, 1
Let v(h) be the third derivative of -3/140*h**7 + 3/40*h**5 + 0 + 0*h**3 - 18*h**2 + 0*h + 1/48*h**6 - 1/96*h**8 + 1/24*h**4. Solve v(z) = 0.
-1, -2/7, 0, 1
Let v = 1132 - 1130. Let r(u) be the first derivative of -1/3*u**3 + 2*u + 1/2*u**v + 10. Solve r(q) = 0.
-1, 2
Let d be 1*-11 - 12702/(-870). Let 12/5*m**3 + 12/5*m - d*m**2 - 3/5*m**4 - 3/5 = 0. What is m?
1
Let g(i) be the first derivative of -5*i**3/3 + 100*i**2 - 2000*i - 30. Factor g(n).
-5*(n - 20)**2
Let p(w) be the second derivative of -22*w + 0 - 1/8*w**4 - 27*w**2 + 3*w**3. Solve p(y) = 0 for y.
6
Let v(j) = 3*j - 99. Let s be v(34). Let -2*x - 4/3 + 0*x**2 + 2/3*x**s = 0. What is x?
-1, 2
Let x(w) = -w + 16. Let d be x(13). Factor -8*l**4 + 36*l**2 + 0*l**d - 20*l**3 + 4 + 4*l**3 + 0*l**5 + 6*l**5 - 22*l.
2*(l - 1)**3*(l + 2)*(3*l - 1)
Let f(a) = -2*a**2 + 208*a - 6026. Let g(n) = n - 2. Let c(d) = f(d) + 12*g(d). Factor c(j).
-2*(j - 55)**2
Suppose 3*o = -3*w - 36, o = -2*o + w - 36. Let n be (-15)/9 + (-62)/o. Solve -n*a**3 - 15*a**2 - 18*a - 4 = 0 for a.
-2, -2/7
Let r(w) be the third derivative of 1/3*w**4 + 0 + 0*w**3 - 2/105*w**7 + 14*w**2 + 1/5*w**5 + 0*w + 0*w**6. Determine a so that r(a) = 0.
-1, 0, 2
Let n(t) be the second derivative of -1/6*t**4 + 2/45*t**5 + 2*t + 2/9*t**3 - 1/9*t**2 + 0. What is f in n(f) = 0?
1/4, 1
Let -v**2 - 19*v + 8*v + 9*v + 3*v + 5*v + 7 = 0. What is v?
-1, 7
Let t be (4/(-6))/(15/(-9)). Let y(o) = -459*o. Let d be y(0). Factor -2/5*g**3 + 2/5*g - 2/5*g**4 + d + t*g**2.
-2*g*(g - 1)*(g + 1)**2/5
Let y = -13 - -25. Suppose 6*p**5 + y*p**4 - p**5 - p**3 + 6*p**3 - 2*p**4 = 0. What is p?
-1, 0
Suppose 3*w + 88 = -3*r + 2*r, 3*w - 367 = 4*r. Let a = -999/11 - r. Factor a*f**2 + 0 + 2/11*f.
2*f*(f + 1)/11
Let m(a) be the second derivative of -a**8/11760 + a**7/630 - 19*a**4/6 + 30*a. Let h(r) be the third derivative of m(r). Factor h(u).
-4*u**2*(u - 7)/7
Suppose 0*r - 3*i = -4*r + 22, 0 = 5*i + 10. Let c(g) be the first derivative of -6 + 0*g - 3/8*g**r + 1/2*g**2 - 1/6*g**3. Let c(y) = 0. What is y?
-1, 0, 2/3
Let a(i) be the second derivative of i**4/30 - 2*i**3/3 - 24*i**2/5 + i + 1. Factor a(t).
2*(t - 12)*(t + 2)/5
Suppose -53*i + 56*i = -55*i - 61*i. Factor 0*n**2 + 0*n + i - 1/3*n**4 + 0*n**3.
-n**4/3
Let z(f) be the first derivative of f**5/10 - 5*f**4/4 + 40. Find l, given that z(l) = 0.
0, 10
Let c be 20/(-165)*5/((-40)/12). Determine h, given that 0 + 0*h + 4/11*h**4 - c*h**5 - 4/11*h**2 + 2/11*h**3 = 0.
-1, 0, 1, 2
Suppose -n = 5*c - 15, -4*n + 8 + 7 = 5*c. Suppose z**5 + 0*z**2 - 3*z**5 - z**2 + 6*z**c + 5*z**2 = 0. What is z?
-1, 0, 2
Find p, given that -3*p**2 + 7*p**2 + 4*p + 27*p - 40 + 5*p = 0.
-10, 1
Let q(k) = -7*k**3 - k**2 - 3*k + 1. Let s = 0 - -1. Let n(d) = 4*d - d**2 + 1 - 11*d - d**3 + 6*d. Let r(m) = s*q(m) - 5*n(m). Find l such that r(l) = 0.
-1, 1, 2
Suppose -178 + 102 = -38*d. Let g(c) be the second derivative of 10*c - 1/20*c**5 + 0*c**d - 1/30*c**6 + 0*c**3 + 0 + 1/42*c**7 + 1/12*c**4. Factor g(q).
q**2*(q - 1)**2*(q + 1)
Let h(t) be the second derivative of t**5/5 - 2*t**4/3 + 2*t**3/3 + 30*t. Determine p, given that h(p) = 0.
0, 1
Let p(x) be the first derivative of -x**7/70 - x**6/60 + x**5/15 + x**4/12 - x**3/6 + 2*x**2 - 2. Let v(d) be the second derivative of p(d). Factor v(l).
-(l - 1)*(l + 1)**2*(3*l - 1)
Factor 143*j - 3*j + 90*j**3 + 4*j**4 + 94*j**3 - 36*j**3 + 284*j**2.
4*j*(j + 1)**2*(j + 35)
Let f be 300/28 + -2 + 2/7. Suppose -2*a + f = a - 3*d, 3*a + 4*d = -12. Suppose 6/7*o**3 - 2/7*o**4 + a*o**2 + 0 - 8/7*o = 0. What is o?
-1, 0, 2
Suppose -4*u - 10*u = u. Factor -1/5*j**2 + u + 1/5*j.
-j*(j - 1)/5
Suppose 63 = 4*b - 5*l, -4*l - 15 = l. Factor 9 + 1 + 6*a**2 - b*a - 4*a**2.
2*(a - 5)*(a - 1)
Determine f so that 202/3*f**3 + 4994/3*f**2 + 2/3*f**4 - 1870*f - 3468 = 0.
-51, -1, 2
Suppose 2*q = 7*q - 10. Suppose 3*h - 2*z = 1 + 1, z - 2 = 0. Suppose -h*b**2 - 2*b**4 + 2*b**3 + 32 - 8*b - 26 + 6*b**3 - q*b**2 = 0. Ca