6*z**4 - 21*z**2 + 0*z + 1/2*z**6 + 0*z**3 + 0. Factor t(c).
-4*c*(c - 5)*(c + 1)*(4*c + 1)
Factor 3/2*h**2 - 9/2*h + 5/2 + 1/2*h**3.
(h - 1)**2*(h + 5)/2
Let -44/5*v**3 - 8/5*v**2 - 24/5*v**4 + 32/5 + 48/5*v - 4/5*v**5 = 0. Calculate v.
-2, -1, 1
Let q be 14/98 + (-346)/2520. Let v(j) be the third derivative of 0*j**3 + q*j**5 + 1/72*j**4 + 0*j - 5*j**2 + 0. Determine z so that v(z) = 0.
-1, 0
Let k(z) be the third derivative of 0*z**5 + 0*z + 0*z**4 + 0*z**3 + 0 - 1/120*z**6 + 8*z**2 - 1/105*z**7 - 1/336*z**8. Factor k(h).
-h**3*(h + 1)**2
Let -18*z + 0*z**2 - 2*z + 2*z**2 + 6 + 12*z = 0. What is z?
1, 3
Let z(l) = l**3 - 8*l**2 - l + 10. Let q be z(8). Determine t, given that -5*t + 2*t - 5*t**q + 33*t - 45 + 0 = 0.
3
Let k(x) = -9*x**3 + 4*x**3 + 4*x**3 - 1. Let c(w) = -w**3 - 4*w**2 - 2*w + 1. Let u(q) = -c(q) - k(q). Factor u(g).
2*g*(g + 1)**2
Let h(u) be the first derivative of -8 + 1/26*u**4 - 2/39*u**3 - 2/13*u**2 + 0*u. Solve h(g) = 0.
-1, 0, 2
Let m = 172 - 165. Let b(x) be the second derivative of 6*x + 3/20*x**5 + 1/42*x**m + 0*x**3 + 0*x**2 + 0 - 1/10*x**6 - 1/12*x**4. Determine a so that b(a) = 0.
0, 1
Let f(i) be the second derivative of 5*i**4/12 + 5*i**3/6 - 4*i - 6. Factor f(y).
5*y*(y + 1)
Suppose 1/4*c**3 + 21/4*c**2 - 23/2*c + 0 = 0. Calculate c.
-23, 0, 2
Let k(s) = s**3 - 15*s**2 - 15*s - 10. Let j be k(16). Factor d**3 - 2*d**5 + j*d**5 - 5*d**3 + 4*d - 4*d**3.
4*d*(d - 1)**2*(d + 1)**2
Let p(g) be the second derivative of 7*g - 1/72*g**4 + 1/360*g**5 + 1/36*g**3 - 3*g**2 + 0. Let r(f) be the first derivative of p(f). Factor r(a).
(a - 1)**2/6
Let v(r) = 80*r - 4395. Let j be v(55). Determine b, given that 1/3*b**2 + 0*b + 0 - 11/6*b**3 + 11/6*b**j - 1/3*b**4 = 0.
-1, 0, 2/11, 1
Let x be 200/(-52) + 4/(-26). Let c(b) = b**2 - 38*b + 9. Let z(o) = -4*o. Let i(f) = x*c(f) + 44*z(f). Factor i(w).
-4*(w + 3)**2
Suppose 114 = -342*v + 361*v. Factor -1/2*p - 1/2*p**2 + v*p**3 + 0.
p*(3*p - 1)*(4*p + 1)/2
Let a be ((-5)/10)/((-70)/8). Let q(j) be the second derivative of 0*j**2 + 0 + a*j**5 - 1/21*j**4 - j + 2/105*j**6 - 4/21*j**3. Factor q(v).
4*v*(v - 1)*(v + 1)*(v + 2)/7
Let u = -34 - -36. Factor 3*q**u + 0*q + q - 4*q**2 + 0*q.
-q*(q - 1)
Suppose -4 = -k + 2*a, -3*a = 5*k + a + 8. Suppose -3*r + k*r = -6. Let p(h) = 4*h**2 - 2*h + 1. Let f(m) = m**2. Let c(n) = r*p(n) - 6*f(n). Factor c(v).
2*(v - 1)**2
Suppose 5*r = 2*g - 3*g + 17, -2*r = -4*g - 20. Suppose h + r - 4*h + 3*h - h**2 = 0. Calculate h.
-2, 2
Let c be (8/(-6))/(1/(-3)). Let b be 14/(-7)*(-10)/c. Determine s, given that -4 - 4 - 5*s**2 - b*s**2 + 24*s = 0.
2/5, 2
Let z(v) be the second derivative of 29*v - 5/2*v**3 + 0 + 0*v**2 - 5/12*v**4. What is n in z(n) = 0?
-3, 0
Let t(w) be the first derivative of -3*w**6 + 138*w**5/5 - 97*w**4/2 + 86*w**3/3 - 6*w**2 - 261. Determine a, given that t(a) = 0.
0, 1/3, 1, 6
Determine s so that -3*s - 270*s**2 + 4*s**3 - 4*s + 310*s**2 + 2*s - 40 + s**3 = 0.
-8, -1, 1
Let s(k) = 197*k**2 + 2*k - 2. Let l be s(1). Solve -l*z**2 - 4*z + 3 - 4 + 193*z**2 = 0 for z.
-1/2
Factor 173*j**2 + 55*j**2 + 61*j**4 - 16*j**3 - 1813 - 59*j**4 + 613 - 40*j + 58*j**3.
2*(j - 2)*(j + 3)*(j + 10)**2
Let y(w) = w**3 + 10*w**2 + 10*w + 15. Let n be y(-9). Suppose -n*x + 32 = 2*x. Let 0*o + 1/2*o**3 + 0 + 0*o**2 + 3/2*o**5 - 2*o**x = 0. What is o?
0, 1/3, 1
Suppose -5*j + 21 = -r - 54, -3*r = -3*j + 45. Suppose 6*g = g + j. Let p**3 + 2*p - 2*p**3 + 2*p**3 - 3*p**g = 0. What is p?
-1, 0, 1
Let y(z) be the third derivative of z**9/30240 - z**8/6720 - z**7/5040 + z**6/720 - z**4/8 - 3*z**2. Let q(c) be the second derivative of y(c). Factor q(w).
w*(w - 2)*(w - 1)*(w + 1)/2
Let q(m) be the first derivative of -5*m**3/3 - 45*m**2/2 + 296. Factor q(z).
-5*z*(z + 9)
Let j = -3804 + 19023/5. Find i such that -3/5*i**2 + 0 - 9/5*i**4 - 9/5*i**3 - j*i**5 + 0*i = 0.
-1, 0
Let f(y) = -14*y**3 - 110*y**2 - 440*y - 400. Let i(q) = -5*q**3 - 36*q**2 - 147*q - 133. Let t(p) = -3*f(p) + 8*i(p). Find l such that t(l) = 0.
-17, -2
Let f(g) be the first derivative of -g**4/4 + 11*g**3/3 - 19*g**2/2 + 9*g - 137. Suppose f(a) = 0. What is a?
1, 9
Let u(w) be the third derivative of -w**5/30 - 3*w**4/4 + 10*w**3/3 + 84*w**2. Factor u(h).
-2*(h - 1)*(h + 10)
Let x(m) = -m**2 + m. Let h(y) = -y**3 + 1. Let r(l) = -l**3 - 6*l**2 + 41*l + 26. Let z(v) = -4*h(v) - r(v). Let j(p) = -6*x(p) - z(p). Factor j(q).
-5*(q - 3)*(q + 1)*(q + 2)
Let y(l) be the third derivative of -l**6/360 - l**5/45 - l**4/18 + 68*l**2. Let y(m) = 0. Calculate m.
-2, 0
Let d(m) be the third derivative of -1/6*m**3 - 1/120*m**6 + 0 + 1/60*m**5 + 0*m + 1/24*m**4 + 37*m**2. Determine i so that d(i) = 0.
-1, 1
Factor -6*l - 3*l**3 + 3*l**4 - 4*l**4 + 3*l + 3*l**2 - 6*l**2 + 2*l.
-l*(l + 1)**3
Let w be ((-4)/16)/(2/(-16)). Find r, given that -1 + 0*r**3 - r**2 + 3*r**5 - w*r**5 - r**4 + 3*r**2 - 2*r**3 + r = 0.
-1, 1
Let g(z) be the second derivative of -2/15*z**6 + 0 + 7*z + 0*z**4 - 2/5*z**5 + 0*z**2 + 0*z**3. Factor g(i).
-4*i**3*(i + 2)
Let m(t) = 5*t**3 + 2*t**2 - 2*t + 3. Let g be m(2). Suppose 3*n - g = 82. Factor -y**2 + 11 + 16*y - n - y**2 + 0*y**2.
-2*(y - 4)**2
Let w(n) = 29*n**2 - 956*n + 372. Let f(c) = c**2 + c - 2. Let h(s) = -4*f(s) + w(s). Determine v so that h(v) = 0.
2/5, 38
Let b(v) be the second derivative of -10*v**7/21 + v**6/6 + 23*v**5/4 + 45*v**4/4 + 15*v**3/2 + 264*v. Solve b(y) = 0.
-1, -3/4, 0, 3
Let c(b) be the first derivative of -b**2 - 1/3*b**3 + 4*b + 1/8*b**4 + 19. Factor c(m).
(m - 2)**2*(m + 2)/2
Let c(j) be the third derivative of -j**7/1960 + j**6/280 - 3*j**5/280 + j**4/56 + 5*j**3/6 - 13*j**2. Let g(t) be the first derivative of c(t). Factor g(f).
-3*(f - 1)**3/7
Let q = -9/10 + 253/270. Let p(l) be the third derivative of 0 - 1/540*l**6 - 4*l**2 - 1/270*l**5 + 4/27*l**3 + q*l**4 + 0*l. Suppose p(m) = 0. What is m?
-2, -1, 2
Let c(t) be the second derivative of t**5/5 + t**4 - 2*t**3/3 - 6*t**2 - 64*t. Determine z so that c(z) = 0.
-3, -1, 1
Let d(l) be the third derivative of -l**5/15 + 8*l**4 + 200*l**3/3 + 246*l**2. Solve d(n) = 0 for n.
-2, 50
Let m be 17*20/1190*1. Find s such that 0 - m*s**2 + 0*s + 8/7*s**3 - 6/7*s**4 = 0.
0, 1/3, 1
Suppose -4*v - 4*y = -40, 14 = 30*y - 28*y. Find i, given that -3/8*i + 9/4 - 9/4*i**2 + 3/8*i**v = 0.
-1, 1, 6
Factor 16/11*i + 2/11*i**4 - 8/11*i**2 - 4/11*i**3 + 0.
2*i*(i - 2)**2*(i + 2)/11
Suppose 41 = 10*x - 39. Let o(s) be the first derivative of -1 - 24*s**4 + 0*s - x*s**3 - 128/5*s**5 - s**2. Factor o(l).
-2*l*(4*l + 1)**3
Let m(s) be the third derivative of s**6/660 + 53*s**5/165 + 35*s**4/44 - 8*s**2 - 27. Suppose m(l) = 0. Calculate l.
-105, -1, 0
Factor 62 - 100*n + 11*n**2 + 34 - 7*n**2.
4*(n - 24)*(n - 1)
Let g(z) be the first derivative of 3*z**4/4 + 5*z**3 + 6*z**2 - 111. Suppose g(q) = 0. Calculate q.
-4, -1, 0
Let g(z) be the first derivative of -z**5/390 - z**4/52 - 2*z**3/39 + z**2/2 + 2. Let a(d) be the second derivative of g(d). Find h such that a(h) = 0.
-2, -1
Let z(t) be the third derivative of -t**8/1008 - t**7/315 - t**6/360 + t**2 - 236*t. Factor z(q).
-q**3*(q + 1)**2/3
Solve -2/3*h**3 - 4/3*h + 16/3 - 10/3*h**2 = 0.
-4, -2, 1
Let s(q) be the second derivative of q**6/2 + q**5/2 - 5*q**4/4 - 5*q**3/3 - 3*q**2 + 11*q. Let b(c) = 1. Let h(y) = 6*b(y) + s(y). What is w in h(w) = 0?
-1, -2/3, 0, 1
What is i in -25*i**2 + 74*i**2 - 4*i**4 + 36*i**3 - 5*i**2 - 111*i + 56*i**2 - 21*i = 0?
-3, 0, 1, 11
Let z(t) = -21*t**5 - 192*t**4 - 4608*t**3 - 49134*t**2 - 196590*t. Let y(s) = s**5 - s**2 - s. Let r(n) = 18*y(n) + z(n). Determine p so that r(p) = 0.
-16, 0
Let y(t) = 5*t**3 - 7*t**2 - 14*t - 4. Let l(b) = 25*b**3 - 37*b**2 - 71*b - 20. Let d(p) = 2*l(p) - 11*y(p). Find f such that d(f) = 0.
-1, -2/5, 2
Let q = -4605 + 4608. Factor -8/3 - 38/3*k + 8/3*k**q - 22/3*k**2.
2*(k - 4)*(k + 1)*(4*k + 1)/3
Determine g, given that 29*g + 26*g**4 + 29*g + 4*g**2 + 18*g**3 - 58*g - 18*g**4 = 0.
-2, -1/4, 0
Let g(b) be the second derivative of -b**5/90 - 5*b**4/27 - 23*b**3/27 - 14*b**2/9 + 195*b. Solve g(q) = 0.
-7, -2, -1
Suppose 701 = 4*l + v - 0*v, -364 = -2*l + 4*v. Factor 176*c - l*c + 3*c**5 - 3*c**4.
3*c**4*(c - 1)
Let f(b) = -9*b**3 + 62*b - 21 - 78*b + 6*b**2 + 40*b - 3*b**4. Let u(v) = 6*v**4 + 1