h**2.
-(h - 1)**2*(h + 1)**2
Let -2*m**4 + 8 - 6*m**2 + 3*m**3 + 10*m - 10*m**3 - 3*m**3 = 0. What is m?
-4, -1, 1
Suppose 10*b - 42 = -12. Determine t so that -3*t**5 - b*t**4 + 9*t**3 - 30*t + 2*t**2 + 24*t + t**2 = 0.
-2, -1, 0, 1
Factor -53*m**2 + 31*m**2 - 52*m + 26*m**2.
4*m*(m - 13)
Let s(i) = -i**3 + i**2 + i + 1. Let l(d) = -4*d**4 - 50*d**3 + 194*d**2 - 222*d + 62. Let o(h) = l(h) + 10*s(h). Find k, given that o(k) = 0.
-18, 1
Let b(q) = 6*q**3 - 36*q**2 + 35*q. Let r(k) = 15*k**3 - 90*k**2 + 87*k. Let w(u) = -12*b(u) + 5*r(u). Factor w(l).
3*l*(l - 5)*(l - 1)
Factor -a**2 - 13*a**2 - a**2 + 5*a**2 + 5*a**4 - 5*a + 5 + 10*a**3 - 5*a**5.
-5*(a - 1)**3*(a + 1)**2
Let w(p) be the second derivative of -p**5/25 + 5*p**4/3 - 97*p**3/30 + 12*p**2/5 - p - 484. Suppose w(h) = 0. Calculate h.
1/2, 24
Factor -9 - 17*t**3 + 24*t**2 + 9 - 22*t**4 + 49*t**3.
-2*t**2*(t - 2)*(11*t + 6)
Let h(r) be the second derivative of 1/48*r**4 + 0 + 1/16*r**5 - 1/120*r**6 + 1/2*r**2 - 1/3*r**3 - 1/168*r**7 + 16*r. Factor h(n).
-(n - 1)**3*(n + 2)**2/4
Let k(v) be the second derivative of -v**5/40 - v**4/12 + 2*v**3/3 - 3*v + 61. Determine u so that k(u) = 0.
-4, 0, 2
Let h(c) = -c**3 - 8*c**2 - c - 6. Let u be h(-8). Suppose j = -11*j - 7*j. Solve j*v + 2/3*v**4 + 8/3*v**3 + 0 + 2*v**u = 0 for v.
-3, -1, 0
Suppose b + 5 = -130*n + 135*n, -4 = -4*n. Factor 2/13*l**4 + 0 + 8/13*l**2 + b*l - 10/13*l**3.
2*l**2*(l - 4)*(l - 1)/13
Let a(r) be the third derivative of -r**7/70 - r**6/4 - 24*r**2 - 15*r. Factor a(o).
-3*o**3*(o + 10)
Let q be 1 + -6 - 2172/(-432). Let t(i) be the second derivative of 1/6*i**3 + q*i**4 + 7*i + 0 + 1/3*i**2. Solve t(l) = 0.
-2, -1
Factor 2*s**5 + 61646*s - 61646*s + 8*s**4 + 6*s**3.
2*s**3*(s + 1)*(s + 3)
Let h(x) be the second derivative of -x**4/84 + 89*x**3/42 - 360*x. Let h(l) = 0. What is l?
0, 89
Let n(u) = u**3 - u**2 - 6*u + 3. Let h be n(3). Find o such that -35*o**2 + 50*o**2 + o**3 + 4*o**h = 0.
-3, 0
What is n in -722 + 2*n**4 - 168*n**2 + 76*n**3 - 76*n + 320*n**2 + 568*n**2 = 0?
-19, -1, 1
Let d = 2 + 0. Suppose 0 = 3*x + h - 53 + 58, 2*x = 3*h + 15. Factor 3 - 2*l**2 + 12*l + x*l + 5*l**d + 6*l**2.
3*(l + 1)*(3*l + 1)
Let n(m) be the second derivative of -3*m**8/2240 - m**7/210 - m**6/180 + 5*m**4/4 - 16*m. Let a(y) be the third derivative of n(y). Factor a(r).
-r*(3*r + 2)**2
Let q(z) be the second derivative of 1/30*z**6 - 7/10*z**5 + 18*z**2 + 61/12*z**4 - 14*z**3 - 19*z + 0. Find g such that q(g) = 0.
1, 6
Let y(q) be the second derivative of -q**6/135 + 2*q**5/45 + q**4/54 - 4*q**3/27 - 191*q. Factor y(f).
-2*f*(f - 4)*(f - 1)*(f + 1)/9
Factor -9 + 5*t**4 + 522*t**3 - 21*t - 27*t**2 - 2*t**4 - 501*t**3 + 33.
3*(t - 1)**2*(t + 1)*(t + 8)
Let c(w) be the second derivative of 1/12*w**6 + 0*w**2 + 0 - 3/40*w**5 + 0*w**3 + 10*w - 1/12*w**4. What is h in c(h) = 0?
-2/5, 0, 1
Let d(j) be the third derivative of -1/12*j**5 + 0*j - 1/3*j**4 + 0 - 1/6*j**3 + 8*j**2 - 1/180*j**6. Let u(s) be the first derivative of d(s). Factor u(v).
-2*(v + 1)*(v + 4)
Let w(m) be the first derivative of 0*m**2 + 43 + 15/4*m**4 - 5/3*m**3 - 2*m**5 + 0*m. Let w(d) = 0. What is d?
0, 1/2, 1
Let i(y) = -y**2 + 2*y + 1. Let v(m) = -7*m**3 + 33*m**2 - 42*m + 5. Let f(l) = -6*i(l) - 2*v(l). Factor f(q).
2*(q - 2)**2*(7*q - 2)
Let j(t) be the second derivative of 14*t**6/15 - 12*t**5/5 - 25*t**4/3 - 4*t**3 + 99*t. Factor j(u).
4*u*(u - 3)*(u + 1)*(7*u + 2)
Let c(a) be the third derivative of a**7/525 + a**6/150 - 2*a**5/75 - 2*a**4/15 - 11*a**2. Find j, given that c(j) = 0.
-2, 0, 2
Let s(n) = -1 - 62*n**2 + n**3 + 55*n**2 + 10. Let o be s(7). Factor 23*z**2 + 6*z + 2*z**3 + 2 - 4*z**2 - o*z**2 - 4*z**2.
2*(z + 1)**3
Let z be (2 - 4) + 2 + 2. Let w be (-9)/27*(-9)/z. Factor -w*d**2 + 0 - 1/2*d.
-d*(3*d + 1)/2
Let p(v) be the second derivative of -2*v**6/15 - 7*v**5/5 - 16*v**4/3 - 8*v**3 + 26*v + 2. Factor p(i).
-4*i*(i + 2)**2*(i + 3)
Let o = -4929 + 34505/7. What is n in -o*n**2 + 2/7 - 2/7*n**3 + 2/7*n = 0?
-1, 1
Solve -10*x**5 - 145 - 78388*x**3 - 3336*x**4 + 74 - 26*x**5 + 71 - 8464*x - 51152*x**2 = 0 for x.
-46, -1/3, 0
Suppose -2*y + 30*j - 33*j = -3, 3 = 3*j. Let z(w) be the third derivative of 0*w**3 + 0*w**5 - 1/120*w**6 + 4*w**2 + 0 + 1/24*w**4 + y*w. Factor z(i).
-i*(i - 1)*(i + 1)
Factor 138/7 + 489/7*q + 3*q**2.
3*(q + 23)*(7*q + 2)/7
Let a(i) = 6*i - 46. Let g be a(8). Let u(p) be the second derivative of -2/3*p**3 + 0 + 1/18*p**4 + 3*p**g - 4*p. What is q in u(q) = 0?
3
Let k be 403/(-7140) - 17/(-289). Let n(t) be the third derivative of 0*t**4 + 0*t**3 + 0*t + k*t**6 + 1/210*t**5 + 11*t**2 + 0. Factor n(u).
2*u**2*(u + 1)/7
Let k(q) be the first derivative of 2*q**5/15 + 3*q**4/4 - 5*q**3/9 + 280. Suppose k(c) = 0. What is c?
-5, 0, 1/2
Let n = 5/109 + 183/763. Let b(i) = i - 7. Let p be b(10). Let 0*l + 2/7*l**p + 0 - n*l**5 + 0*l**2 + 0*l**4 = 0. What is l?
-1, 0, 1
Let s(o) = o**2 - 5*o. Let u be s(7). Let h = 17 - u. What is w in -w + 2*w + 2*w**2 + 2*w**h - 3*w - 2*w**4 = 0?
-1, 0, 1
Let b(t) be the third derivative of 1/8*t**4 - 1/120*t**6 + 0*t**5 + 0*t + 0 + 9*t**2 - 1/3*t**3. Factor b(w).
-(w - 1)**2*(w + 2)
Let x = 5771/7 + -821. What is g in 8/7*g + 16/7*g**2 + 0 + x*g**4 - 58/7*g**3 = 0?
-1/4, 0, 2/3, 2
Let t(u) be the third derivative of -u**6/600 - u**5/150 - u**4/120 + 25*u**2. Let t(w) = 0. What is w?
-1, 0
Let c(j) be the first derivative of 2/39*j**3 + 8 + 0*j - 1/13*j**2. Factor c(m).
2*m*(m - 1)/13
Let i(t) = -20*t**2 + 384*t - 22. Let g(n) = 4*n**2 - 76*n + 4. Let a(d) = -11*g(d) - 2*i(d). Factor a(c).
-4*c*(c - 17)
Let i(o) = -114*o**2 - 9*o - 3*o + 59*o**2 - 14 + 68*o**2. Let y(h) = 9*h**2 - 8*h - 10. Let r(q) = -5*i(q) + 7*y(q). What is t in r(t) = 0?
0, 2
Let n(q) be the third derivative of -q**5/120 - 3*q**4/16 + 11*q**3/6 - 32*q**2 - 3. Factor n(w).
-(w - 2)*(w + 11)/2
Factor -51/5*j - 26/5 - 24/5*j**2 + 1/5*j**3.
(j - 26)*(j + 1)**2/5
Let q(w) be the third derivative of -1/9*w**4 + 0*w + 0 + w**2 + 1/30*w**5 + 1/180*w**6 + 0*w**3. Factor q(p).
2*p*(p - 1)*(p + 4)/3
Let p(q) be the second derivative of q**6/300 + q**5/50 + q**4/20 + q**3/15 - 29*q**2/2 + 18*q. Let g(m) be the first derivative of p(m). Factor g(c).
2*(c + 1)**3/5
Let j(a) be the second derivative of -a**4/48 + 5*a**3/24 + 13*a**2 - 605*a. Factor j(d).
-(d - 13)*(d + 8)/4
Let v = 179 - 116. Factor 29*q + v*q + 46*q + 5*q**2 + 320 - 58*q.
5*(q + 8)**2
Let w(v) be the second derivative of v**4/3 - 22*v**3/3 + 20*v**2 + 5*v - 2. What is y in w(y) = 0?
1, 10
What is b in 495*b**4 + 50*b + 85*b**2 + 32*b**3 + 8*b**3 - 490*b**4 = 0?
-5, -2, -1, 0
Let t(i) be the second derivative of -3*i**5/20 + 9*i**4/8 - 81*i**2/4 + 5*i. Factor t(w).
-3*(w - 3)**2*(2*w + 3)/2
Let w(r) = -r**3 - r**2 + r. Let y = 5 - 4. Let a = -21 - -22. Let p(h) = 3*h**3 + 9*h**2 + 9*h + 4. Let b(z) = a*p(z) + y*w(z). Factor b(k).
2*(k + 1)**2*(k + 2)
Let l = 17 - 9. Let f(y) = -y**3 + 9*y**2 - 7*y - 3. Let v be f(l). Factor 4/3*z**4 - 2/3*z**3 + 0 - 2/3*z**v + 0*z**2 + 0*z.
-2*z**3*(z - 1)**2/3
Suppose 5*w = -5*r - 1100, 2*w - 3*r = -8*r - 446. Let s = -218 - w. Determine g, given that -1/6*g**2 + s + 1/6*g = 0.
0, 1
Let v(k) be the first derivative of -2*k**4 - 10*k**3 - 8*k**2 + 6*k - 326. Determine m so that v(m) = 0.
-3, -1, 1/4
What is o in 74/5*o**3 - 4*o**4 + 0 - 24*o**2 + 72/5*o + 2/5*o**5 = 0?
0, 2, 3
Let a(v) be the first derivative of v**6/120 - v**5/40 + 14*v**3/3 + 12. Let i(d) be the third derivative of a(d). Factor i(t).
3*t*(t - 1)
Let r be 0 - (-1 + 6/9). Let l be 18/21 + (-48)/2016. Factor -r + l*v + 7/6*v**2.
(v + 1)*(7*v - 2)/6
Let o(p) be the third derivative of -18*p**2 - 1/15*p**5 - 1/30*p**6 + 2/105*p**7 + 1/6*p**4 + 0*p + 0*p**3 + 0. Factor o(s).
4*s*(s - 1)**2*(s + 1)
Let u(t) = 0*t**2 + 1 + 3*t**2 - 28*t**3 - 6*t**2 + t**2. Let m be u(-1). Determine p, given that -5*p**5 - 6*p - 23*p**4 - 2*p**5 - m*p**3 + 4*p - 13*p**2 = 0.
-1, -2/7, 0
Let l(g) be the third derivative of 5*g**8/336 - g**7/42 + 2*g**2 - 36*g. Factor l(m).
5*m**4*(m - 1)
Let c(a) be the first derivative of -1/24*a**3 + 26 + 1/16*a**2 + 0*a. Let c(g) = 0. Calculate g.
0, 1
Suppose 32*h = 18*h + 70. Let l(z) be the third derivative of 0*z**3 - 2/35*z**7 - 4*z**2 + 0 + 1/8*z**4 - 7/4