t(k) = 0.
0, 2/3
Suppose 54*b + 3 - 9 + 3 - 7 - 4 + 8*b**2 = 0. Calculate b.
-7, 1/4
Let p = 8 + -2. Let r be p/14 + 72/28. Factor -5*z**3 + 18*z**2 - 8*z**r + 54*z + 54 + 15*z**3.
2*(z + 3)**3
Let d(z) be the second derivative of -z**7/56 + z**6/6 + 17*z**5/40 - z**4/4 - 31*z**3/24 - z**2 - 6*z - 4. Find h, given that d(h) = 0.
-1, -1/3, 1, 8
Let y(l) be the second derivative of -l**4/108 + 13*l**3/18 - 6*l**2 - 12*l + 3. Factor y(t).
-(t - 36)*(t - 3)/9
Let l(u) be the first derivative of 4/65*u**5 - 8/39*u**3 + 4/13*u + 5/13*u**2 - 17 - 5/13*u**4 + 5/39*u**6. Solve l(d) = 0 for d.
-1, -2/5, 1
Factor 0 + 6/7*a**4 - 24/7*a**2 + 0*a + 12/7*a**3 - 3/7*a**5.
-3*a**2*(a - 2)**2*(a + 2)/7
Let m(v) be the first derivative of 2/39*v**4 - 2 + 5/39*v**3 + 2/13*v**2 + 1/130*v**5 + 3*v. Let g(r) be the first derivative of m(r). Factor g(c).
2*(c + 1)**2*(c + 2)/13
Let o(f) be the third derivative of 1/60*f**5 - 1/12*f**4 + 0*f**3 + 0 + 0*f + 5*f**2 + 1/120*f**6. Find p such that o(p) = 0.
-2, 0, 1
Let g(m) = -33*m + 99*m + 66*m + 56*m**2 + 110. Let k(j) = -5*j**2 - 12*j - 10. Let b(w) = -6*g(w) - 68*k(w). Factor b(c).
4*(c + 1)*(c + 5)
Determine c, given that -4 + 1/2*c**3 - 2*c + c**2 = 0.
-2, 2
Let h(x) be the second derivative of 1/12*x**4 + 25*x + 0 - 1/105*x**7 - 7/150*x**6 + 1/5*x**2 + 7/30*x**3 - 1/20*x**5. Let h(t) = 0. What is t?
-2, -1, -1/2, 1
Let -7*b**2 - 30*b + b**3 + 2*b**3 + b**3 - 9*b**3 - 28*b**2 = 0. What is b?
-6, -1, 0
Let o(n) be the third derivative of -n**6/280 + n**5/70 - n**4/56 - 86*n**2. Factor o(y).
-3*y*(y - 1)**2/7
Let b(x) = -x**3 - 25*x**2 + 49*x - 39. Let u(c) = c**3 + 50*c**2 - 94*c + 79. Let l(i) = 9*b(i) + 4*u(i). Factor l(s).
-5*(s - 1)**2*(s + 7)
Let x(u) be the first derivative of -2*u**6/3 - 76*u**5/5 - 72*u**4 + 992*u**3/3 + 1120*u**2 - 4800*u - 3. What is r in x(r) = 0?
-10, -3, 2
Suppose d = -1548 + 1552. Let r(k) be the third derivative of -1/30*k**5 + 0*k + 0*k**3 + 0*k**d + 1/60*k**6 + 0 - 9*k**2. Factor r(z).
2*z**2*(z - 1)
Let k = 2029 - 2022. Let g(i) be the second derivative of -1/9*i**2 - k*i + 0 + 2/27*i**3 - 1/54*i**4. Factor g(j).
-2*(j - 1)**2/9
Suppose 8*o = 6*o + 8. Suppose 5*g - 21 = 2*d, -o*d + 3*d + 3*g - 13 = 0. Factor -2 - 2*v - 6 + 2*v**d + 3 + 1.
2*(v - 2)*(v + 1)
Let t(v) = v + 1. Let f(q) = -15*q**2 - 3*q + 4. Let p(y) = -f(y) - 3*t(y). Let s(a) = -10*a**2 + 5. Let r(l) = 5*p(l) + 8*s(l). Solve r(x) = 0 for x.
-1, 1
Let g(k) = 2*k**2 - 2. Let j(z) = -3*z**2 + 840*z + 58806. Let d(b) = 3*g(b) + j(b). Factor d(h).
3*(h + 140)**2
Let d = 339 - 345. Let u be (-5)/d + 312/144. Solve 3*s - 6/5 + 3/5*s**u - 12/5*s**2 = 0 for s.
1, 2
Suppose -63 + 23 = -8*n - 8. Let 2/7*b + 1/7*b**5 + 9/7*b**3 + 0 + b**2 + 5/7*b**n = 0. Calculate b.
-2, -1, 0
Let f(x) be the second derivative of -3/2*x**2 + x**3 + 0*x**4 - 3/10*x**5 - 2*x + 1/10*x**6 + 0. Factor f(h).
3*(h - 1)**3*(h + 1)
Find g such that 3/10*g + 1/5*g**2 - 1/10*g**3 + 0 = 0.
-1, 0, 3
Let i(p) be the third derivative of -p**6/72 + 5*p**4/24 - 5*p**3/6 + 9*p**2. Let b(l) be the first derivative of i(l). Factor b(m).
-5*(m - 1)*(m + 1)
Let j be 1 - 24/96*-4. Find v such that 2/5*v**3 + 2/5*v**4 + 0 + 0*v - 2/5*v**j - 2/5*v**5 = 0.
-1, 0, 1
Let b(z) = 5*z**2 + 2*z - 22. Suppose -15 = 64*i - 61*i. Let s(o) = -4*o**2 - 3*o + 21. Let h(x) = i*b(x) - 6*s(x). Suppose h(l) = 0. Calculate l.
4
What is s in -93*s**3 + 13*s**2 + 6*s**2 - 13*s**2 + 60*s**3 = 0?
0, 2/11
Factor 15/4*z - 4 + 1/4*z**2.
(z - 1)*(z + 16)/4
Let u = -9 - -11. What is s in 0 + 5 + 3 - s**2 - s**u = 0?
-2, 2
Suppose 3*w + 74 - 5 = 4*t, -w + 55 = 3*t. Suppose -2*r = x + 5, t = 2*x - 3*r - 0. Factor -4*s**5 - 8*s**2 - 75*s**4 + 2*s**3 - 2*s**x + 4*s + 83*s**4.
-4*s*(s - 1)**3*(s + 1)
Factor 3*a**2 - 40*a**2 + 10*a**2 - 40 + 4*a**3 - 21*a**2 + 84*a.
4*(a - 10)*(a - 1)**2
Let 18/13 + 0*s - 2/13*s**2 = 0. Calculate s.
-3, 3
Let m(s) = 3*s**3 - 39*s**2 - 72*s - 72. Let n(i) = 2*i**3 - 37*i**2 - 73*i - 72. Let q(u) = 5*m(u) - 6*n(u). Factor q(v).
3*(v + 2)*(v + 3)*(v + 4)
Factor -8/5*i + 1/5*i**2 + 4/5 + 3/5*i**3.
(i - 1)*(i + 2)*(3*i - 2)/5
Let v be (-4)/(-6)*(-15)/(-2). Factor 3*f**2 - 3 + v*f**2 + 7*f**2 + 9*f - 3.
3*(f + 1)*(5*f - 2)
Let r(u) be the third derivative of u**6/360 - 11*u**5/45 + 121*u**4/18 - 83*u**2. What is p in r(p) = 0?
0, 22
Suppose -64 = -k - 5*u, -2*k - 140 = -4*k + 2*u. Let o = k + -64. Factor 0 + 0*n**3 + 0*n**2 + 1/5*n**o - 1/5*n**4 + 0*n.
n**4*(n - 1)/5
Let z(g) be the first derivative of g**6/2 - 6*g**5 + 18*g**4 + 16*g**3 - 168*g**2 + 288*g - 374. Determine o so that z(o) = 0.
-2, 2, 6
Factor -14884*o - 907924/3 - 244*o**2 - 4/3*o**3.
-4*(o + 61)**3/3
Let k = -22755 - -45511/2. Suppose k + o - 3/2*o**2 = 0. Calculate o.
-1/3, 1
Let g(z) be the second derivative of 2*z - 3/5*z**5 + 2*z**3 + 0 + 1/3*z**4 - 2*z**2. Factor g(q).
-4*(q - 1)*(q + 1)*(3*q - 1)
Let v(j) be the first derivative of j**5 - 15*j**4/4 - 10*j**3/3 + 30*j**2 - 40*j - 21. Factor v(q).
5*(q - 2)**2*(q - 1)*(q + 2)
Let n(o) be the second derivative of -o**7/126 + o**6/45 + 2*o**5/15 + o**4/18 - 7*o**3/18 - 2*o**2/3 - 103*o. Determine b, given that n(b) = 0.
-1, 1, 4
Suppose 2 - 10 = -2*l. Factor 2 - 2*s**3 + s**3 - 5*s - 3*s**2 - l - s**2.
-(s + 1)**2*(s + 2)
Suppose -1 - 2 = -u. Factor -14 - 83*g + 83*g + 11 + u*g**2.
3*(g - 1)*(g + 1)
Suppose 0 = -9*y - 292 + 319. Let f(n) be the second derivative of 0 + 0*n**y - 10*n - n**2 + 1/6*n**4. Let f(q) = 0. What is q?
-1, 1
Let u(n) be the second derivative of n**5/160 - 5*n**4/12 - 9*n - 3. Factor u(g).
g**2*(g - 40)/8
Let u = -1852/15 + 247/2. Let w(b) be the second derivative of -3/2*b**4 + 7/20*b**5 + 10/3*b**3 - u*b**6 - 4*b**2 + 9*b + 0. Let w(c) = 0. Calculate c.
1, 2
Let b = 2641/9 - 293. Suppose 2/9 + b*y**3 + 2/9*y**5 - 2/3*y**4 + 4/9*y**2 - 2/3*y = 0. What is y?
-1, 1
Let f(c) = -55*c - 8. Suppose 20 = -5*o - 10. Let w be f(o). Factor 3*g**2 - 322 - 3*g**3 + w.
-3*g**2*(g - 1)
Suppose -s + 5 = 3*a, -3*a - 2 = -3*s + a. Suppose s*o + 0*o + 11*o = 0. Find r, given that -2/13*r**2 - 4/13*r + o = 0.
-2, 0
Suppose -5*b = -4*s - 5, -2*b + 0*b - 5*s + 35 = 0. Factor -4 + b + 10*o + 3*o**2 - 10*o + 4*o.
(o + 1)*(3*o + 1)
Suppose -114 - 194 = -77*q. Let i(z) be the first derivative of -2/35*z**5 - 2/7*z + 1/21*z**6 - 1/7*z**q + 1/7*z**2 + 2 + 4/21*z**3. Factor i(l).
2*(l - 1)**3*(l + 1)**2/7
Let t(n) = 0*n**2 - 5*n**2 + 9*n**2 - 3*n**2. Let k(w) = 15*w**2 - 24*w - 36. Let x(b) = k(b) - 18*t(b). Factor x(z).
-3*(z + 2)*(z + 6)
Factor 156/7*p**2 + 0 - 15/7*p**3 - 60/7*p.
-3*p*(p - 10)*(5*p - 2)/7
Let h(y) be the first derivative of -y**4/6 + 8*y**3/9 - y**2/3 - 4*y + 98. Determine c so that h(c) = 0.
-1, 2, 3
Suppose 5*p - 4*l - 28 = 0, -5*l = 3*p - 3*l - 8. Suppose 0*f - 20/7*f**p + 0 + 8/7*f**3 + 12/7*f**2 = 0. Calculate f.
-3/5, 0, 1
Let d(t) be the third derivative of 38/135*t**7 - 277/540*t**6 + 0 + 0*t**3 + 0*t - 38/45*t**5 - 1/3*t**4 - 7/216*t**8 + 10*t**2. Find y such that d(y) = 0.
-2/7, 0, 3
Let g be 48/20*185/74. Let k(o) be the second derivative of 1/21*o**7 - 2/15*o**g + 0*o**5 + 0*o**2 + 1/3*o**4 + 0 - 1/3*o**3 + 4*o. What is b in k(b) = 0?
-1, 0, 1
Let z(k) be the first derivative of 1/3*k**3 - 1/2*k**2 - 29 + 0*k. Find w such that z(w) = 0.
0, 1
Let p be 4*(-14)/280*-15. Find s, given that -4/19 - 22/19*s - 22/19*s**2 + 8/19*s**5 + 14/19*s**p + 26/19*s**4 = 0.
-2, -1, -1/4, 1
Let d = 66 + -64. Factor 15*i**d - 154*i**3 + 136*i**3 - 3 + 4 - 7 + 9*i.
-3*(i - 1)*(2*i - 1)*(3*i + 2)
Suppose -67*t = -62*t. Let s(d) = d**2 + 3*d. Let h be s(t). Factor -6/5*a**2 + 0 + h*a + 3/5*a**3.
3*a**2*(a - 2)/5
Let y(c) be the second derivative of c**4/90 - 2*c**3/45 + c**2/15 + 2*c - 17. Let y(b) = 0. Calculate b.
1
Let b(t) = 8*t**5 - 3*t**4 - 8*t**3. Let c(k) = -9*k**5 + 4*k**4 + 9*k**3. Let o = -5 - -9. Let a(d) = o*b(d) + 3*c(d). Factor a(m).
5*m**3*(m - 1)*(m + 1)
Suppose -16 + 160 = -6*o. Let s be o/(-18)*(4 + -2). Factor 2/3 + 4*u + s*u**3 + 6*u**2.
2*(u + 1)**2*(4*u + 1)/3
Let d(t) be the first derivative of -4*t**5/5 + 4*t**4 + 20*t**3/3 + 334. Factor d(f).
-4*f**2*(f - 5)*(f + 1)
Let k(x) = 16*x - 413. Let w be k(26). Suppose 0*r - 1/4*r**w + 0 + 1/4*r**2 = 0. What is r?
0, 1
Let q be 8/2 + -2 + 30/(-21). Let j = 3082/7 - 440. Factor 2