 = 0.
-1, 2/3, 1
Factor 395*m + 80 + 210*m**2 + 85*m**2 - 21*m**3 + 0*m**3 + m**3.
-5*(m - 16)*(m + 1)*(4*m + 1)
Let o(x) be the second derivative of -x**6/165 + 7*x**5/110 - x**4/6 + 5*x**3/33 - 6*x - 3. Factor o(r).
-2*r*(r - 5)*(r - 1)**2/11
Let h(w) = -w**2 + 3*w - 2. Let y be h(-3). Let v be ((-46)/(-60) - y/(-30))*2. Let -b - 7/5*b**4 + 3/5*b**5 + 2/5*b**3 + 6/5*b**2 + v = 0. What is b?
-1, 1/3, 1
Suppose -2*y + 6*y + 8 = -2*x, 4*x = -y + 5. Factor -6/5*h**4 + 0 - 12/5*h**x + 13/5*h**3 + 1/5*h**5 + 4/5*h.
h*(h - 2)**2*(h - 1)**2/5
Let j(t) be the second derivative of 4*t**7/189 + t**6/9 + 4*t**5/45 - t**4/18 - 233*t. Solve j(z) = 0 for z.
-3, -1, 0, 1/4
Let b(w) be the first derivative of -w**5/210 + w**4/42 - w**2 - 5. Let q(o) be the second derivative of b(o). Suppose q(a) = 0. Calculate a.
0, 2
Let p(b) be the second derivative of 5*b**9/3024 - b**7/84 + b**5/24 - 7*b**3/6 + 5*b. Let r(u) be the second derivative of p(u). Suppose r(v) = 0. Calculate v.
-1, 0, 1
Let o be -1 + 1 + 88/(-11). Let u = o - -11. Factor u*m - m + 2*m**3 + m**2 - 5*m**2 + 0*m.
2*m*(m - 1)**2
Suppose 2*r - 2*x = 20, -12 = 2*r - 4*x - 28. Let -h**2 + 6 - r - h + 2*h + 8 = 0. Calculate h.
-1, 2
Let u be (18/21)/(2/28*2). Let j(d) be the second derivative of 0 - 2/13*d**2 + 1/39*d**3 + u*d + 1/78*d**4. Determine v so that j(v) = 0.
-2, 1
Let y be (4672/1752)/((-38)/(-6)). Factor y + 184/19*a + 1058/19*a**2.
2*(23*a + 2)**2/19
Let f(i) = -315*i - 5125. Let k(a) = a**2 + 316*a + 5124. Let b(c) = 4*f(c) + 5*k(c). Factor b(x).
5*(x + 32)**2
Let o(k) = -3*k - 4*k - 7 + 4*k - 11. Let w be o(-6). Suppose w + 5/2*n**2 - 1/2*n**4 + 3/2*n**3 + n - 1/2*n**5 = 0. What is n?
-1, 0, 2
What is j in -12*j - 3*j**5 - 5108 + 12*j**3 + 3*j + 6*j**4 + 5108 - 6*j**2 = 0?
-1, 0, 1, 3
Let f be 7 + -18 + 7 + ((-3)/1 - -7). Factor 9/4*u**2 + f + 1/4*u**4 - u - 3/2*u**3.
u*(u - 4)*(u - 1)**2/4
Let k(f) be the third derivative of -f**6/600 - f**5/30 - 23*f**4/120 - 7*f**3/15 - 90*f**2. Factor k(c).
-(c + 1)*(c + 2)*(c + 7)/5
Let x(d) be the second derivative of -1/336*d**7 + 12*d - 1/48*d**3 + 1/8*d**2 + 1/80*d**5 + 0 + 1/120*d**6 - 1/24*d**4. Find j, given that x(j) = 0.
-1, 1, 2
Let v = 2096 - 6287/3. Factor 1/3*j - v*j**2 + 0.
-j*(j - 1)/3
Let m(n) be the second derivative of n**4/48 - n**3/2 + 11*n**2/8 + 32*n - 1. Factor m(a).
(a - 11)*(a - 1)/4
Suppose 3*g - 2*l = -g - 38, -2*g + 5*l = -1. Let t be ((-3)/(-10))/(g/(-64)). Let -4/5*v**2 - t*v + 12/5 = 0. Calculate v.
-3, 1
Let x(u) = 3*u**3 - 3*u**2 + 24*u + 84. Let j(a) = -2*a**3 + 3*a**2 - 24*a - 83. Let n(b) = -4*j(b) - 3*x(b). Factor n(t).
-(t - 5)*(t + 4)**2
Suppose 5*n = 3*t - 2 + 10, n + 8 = 3*t. Let c(y) be the second derivative of -1/3*y**2 - 1/18*y**n + y + 0 - 2/9*y**3. Determine i, given that c(i) = 0.
-1
Suppose -35*v**2 - 140*v - 74 + 5*v**3 + 0*v**3 - 48 + 22 = 0. What is v?
-2, -1, 10
Let b be (-18)/30 - 36/(-10). Factor 5*j**5 - 20 - 84*j**2 - 60*j + 66*j**2 - 5*j**b - 37*j**2 + 15*j**4.
5*(j - 2)*(j + 1)**3*(j + 2)
Find v such that 272/13*v + 2/13*v**4 - 120/13*v**2 + 12/13*v**3 - 192/13 = 0.
-12, 2
Let x be 2/(4/6 - (-16)/(-96)). Find f such that 0 + 0*f**3 + 4/7*f + 6/7*f**2 - 2/7*f**x = 0.
-1, 0, 2
Let t(z) be the first derivative of 4*z**7/105 - z**6/24 - z**5/20 - 14*z**2 + 17. Let o(b) be the second derivative of t(b). Factor o(x).
x**2*(x - 1)*(8*x + 3)
Let n(z) be the first derivative of 3*z**5/5 + 5*z**4/2 + z**3 - 368. Factor n(t).
t**2*(t + 3)*(3*t + 1)
Let a(n) be the first derivative of -4*n**6/27 - 32*n**5/45 + 23*n**4/18 + 26*n**3/27 - 11*n**2/9 - 10*n/9 - 751. Determine p so that a(p) = 0.
-5, -1/2, 1
Let m(n) be the second derivative of -3/14*n**7 - 3/4*n**4 - 9/20*n**5 + 0*n**2 + 4*n + 0 + 7/10*n**6 + n**3. Factor m(r).
-3*r*(r - 1)**3*(3*r + 2)
Let s(m) be the first derivative of 2*m**3/33 - 9*m**2/11 + 54. Find r, given that s(r) = 0.
0, 9
Let u = -8 + -16. Let s be u/(-28) + (-8)/28. Factor 1/7*x**2 + 4/7*x + s.
(x + 2)**2/7
Let t(v) = v**2 + 5*v + 4. Let f be t(-5). Let i be (f/(-6))/(7/(-21)). Let -8 + 4*w**2 - 12*w**3 + 3*w**2 + 0*w**i + 12*w + w**2 = 0. What is w?
-1, 2/3, 1
Let p(z) = 5*z**2 + 5*z + 3. Let v be p(-3). Factor 3*h + 5*h + v*h**2 - 14*h.
3*h*(11*h - 2)
Let c(v) be the second derivative of v**6/240 - v**5/40 + v**3/3 + 5*v**2 - 6*v. Let u(r) be the first derivative of c(r). Solve u(t) = 0 for t.
-1, 2
Let i(z) be the third derivative of 0 + 0*z**4 + 0*z + 1/600*z**5 + 1/6*z**3 + 3*z**2 - 1/1800*z**6. Let k(y) be the first derivative of i(y). Factor k(x).
-x*(x - 1)/5
Let s(v) = 15*v**2 + 43*v + 17. Let d(a) be the first derivative of -8*a**3/3 - 11*a**2 - 8*a - 16. Let l(t) = 11*d(t) + 6*s(t). Factor l(g).
2*(g + 1)*(g + 7)
Determine i, given that 7 - 7*i**3 - 12*i**2 - 7*i**3 + 23*i**3 - 13*i**3 + 9 = 0.
-2, 1
Suppose -3 + 15 = 12*v. Let x(q) = -4*q**3 + 7*q**2 - 5*q - 19. Let o(i) = -i**3 + i - 1. Let w(b) = v*x(b) - 3*o(b). Determine c so that w(c) = 0.
-1, 4
Let w(k) = 8*k**2 - 18*k + 38. Let g(c) = 2*c**2 + 3*c + 1. Let j(p) = 2*g(p) - w(p). Let j(v) = 0. What is v?
3
Let k(b) = -8*b**2 - 20*b - 17. Let s(h) = 7*h**2 + 20*h + 18. Let l(a) = 2*k(a) + 3*s(a). Determine p so that l(p) = 0.
-2
Let t(j) be the third derivative of -j**7/315 - j**6/60 + j**5/10 + 23*j**4/36 + 4*j**3/3 + 9*j**2. Determine v so that t(v) = 0.
-4, -1, 3
Suppose 0 = 4*y + 2*y + 522. Let i = y - -263/3. Solve 0 - 4/3*u**3 - 1/3*u**4 - i*u - 5/3*u**2 = 0.
-2, -1, 0
Determine z so that 845*z**5 - 356*z + 680*z**2 - 181*z + 1790*z**2 - 2515*z**3 + 40 - 43*z - 260*z**4 = 0.
-2, 2/13, 1
Let r = 3625/4 + -979. Let v = r - -73. Factor 1/4*y**2 + 0 + 1/4*y - 1/4*y**3 - v*y**4.
-y*(y - 1)*(y + 1)**2/4
Factor -123*g**3 + 78*g - 4*g + 34*g + 144*g**2 + 2*g**4 + 162*g**3 + g**4.
3*g*(g + 1)*(g + 6)**2
Suppose 5*p - 4*p = 2. Let f be (24/(-9))/((-16)/16). What is w in 2/3*w**p - f*w + 8/3 = 0?
2
Factor 0*f + 22/7*f**3 + 0*f**2 - 2/7*f**4 + 0.
-2*f**3*(f - 11)/7
Let s(l) be the second derivative of -l**7/420 - 29*l**6/720 - 7*l**5/240 - l**3/3 + 23*l. Let x(p) be the second derivative of s(p). Find t such that x(t) = 0.
-7, -1/4, 0
Let y be (-1)/(105/(-114)) + 6/(-9). Let p = y + -2/15. Factor -6/7*u - p*u**3 + 2/7 + 6/7*u**2.
-2*(u - 1)**3/7
Suppose -20/11*m**3 + 20/11*m - 50/11*m**2 + 48/11 + 2/11*m**4 = 0. What is m?
-2, -1, 1, 12
Let y(q) be the third derivative of q**6/24 - q**5 + 640*q**3/3 - 179*q**2. Factor y(g).
5*(g - 8)**2*(g + 4)
Let o(u) be the third derivative of -u**7/2100 + u**6/180 - 7*u**5/300 + u**4/20 + 2*u**3/3 + 5*u**2. Let y(d) be the first derivative of o(d). Factor y(t).
-2*(t - 3)*(t - 1)**2/5
Let s be 46/(-69)*9/(-2). Factor -3/4*j**2 + 0 - 1/4*j**s + j.
-j*(j - 1)*(j + 4)/4
Suppose -8*z + 7*z + 240 = 0. Let l = 2162/9 - z. Determine c, given that -l*c**4 + 0*c**2 + 4/9*c**3 + 2/9 - 4/9*c = 0.
-1, 1
Let t(v) be the first derivative of v**6/6 + 22*v**5/5 + 24*v**4 - 96*v**3 + 585. Factor t(o).
o**2*(o - 2)*(o + 12)**2
Suppose -120 = -30*x + 26*x. Suppose -4*w - 5*t - x = -9*w, 3*w + 3 = -4*t. Suppose 1/5*c**2 + 0*c**w + 0*c - 1/10 - 1/10*c**4 = 0. What is c?
-1, 1
Let k(c) be the second derivative of 87*c**5/20 + 31*c**4/4 + c**3 - 2*c + 31. Factor k(m).
3*m*(m + 1)*(29*m + 2)
Let f be ((-4)/65)/(2/(-60)) + (-256)/(-1664). What is s in 0 - 4/5*s + 1/5*s**3 + 3/5*s**f = 0?
-4, 0, 1
Let r(k) = 6*k**3 - 15*k**2 + 30*k - 15. Suppose 0 = 2*j + 4*c - 6, -5*c + 8 - 4 = -j. Let s(u) = u**3 + u**2 - u + 1. Let m(o) = j*r(o) - 3*s(o). Factor m(h).
3*(h - 3)*(h - 2)*(h - 1)
Let i be (-54)/(-30) + -11 - (-19 - -9). Factor -2/5*w**4 + 0 - i*w + 4/5*w**2 + 3/5*w**3 - 1/5*w**5.
-w*(w - 1)**2*(w + 2)**2/5
Let v be 7 + (22 - (6 + 21)). Find h, given that -3/4*h**v + 3/4*h + 9/2 = 0.
-2, 3
Let n(u) be the second derivative of -2*u - 1/30*u**6 + 4/3*u**3 - 3/20*u**5 + 1/2*u**4 + 20 + 0*u**2. Factor n(b).
-b*(b - 2)*(b + 1)*(b + 4)
Factor -4*c**5 + 381*c + 8*c**2 + 393*c - 786*c - 8 + 16*c**3.
-4*(c - 2)*(c - 1)*(c + 1)**3
Let l = 27/40 + -1/120. Determine r so that -2/3*r + l*r**3 + 0 + 0*r**2 = 0.
-1, 0, 1
Let t(d) = -d**2 + 0*d - 7 + 6 + 5*d. Let u be t(2). What is k in 1 - u*k**4 + 2*k + 2*k**4 + 4*k**4 - 2*k**4 - 2*k**3 = 0?
-1, 1
Let w = 7/50 - -53/50. Suppose 0 = -2*u + 4*m + 16, -2*u + 3*m + 7 = -3