2 + 7*g + 21 + 129*g + 7 - 16*g**3 = 0?
-2, -1/4, 4
Let l(u) be the first derivative of u**6/18 - 2*u**5/15 - u**4/4 + 8*u**3/9 - 2*u**2/3 + 103. Solve l(h) = 0.
-2, 0, 1, 2
Let f(l) be the first derivative of -4*l**3/3 - 48*l**2 - 576*l + 89. Suppose f(y) = 0. Calculate y.
-12
Factor 105/2*q - 1/4*q**2 - 11025/4.
-(q - 105)**2/4
Let g(u) be the first derivative of -u**4/4 - 21*u**3 + 129*u**2/2 - 65*u - 502. Let g(x) = 0. Calculate x.
-65, 1
Let f(r) be the third derivative of -96*r**7/35 + 148*r**6/5 - 1129*r**5/15 - 370*r**4/3 - 200*r**3/3 + 15*r**2. Find j such that f(j) = 0.
-1/4, 10/3
Let t = 12 + -9. Factor -12*i**2 + 6*i**t + 12*i**2 + 3*i**4 + 3*i**2.
3*i**2*(i + 1)**2
Let q(y) be the first derivative of y**4/12 - 4*y**3/9 - 5*y**2/6 + 49. Solve q(i) = 0 for i.
-1, 0, 5
Let a = 195 - 5849/30. Let z(f) be the third derivative of 0*f - 1/300*f**5 - 4*f**2 - a*f**3 - 1/60*f**4 + 0. Let z(w) = 0. What is w?
-1
Let j(f) be the third derivative of 3/110*f**5 - 1/66*f**4 + 0*f - 7*f**2 + 0*f**3 + 0. Determine u so that j(u) = 0.
0, 2/9
Let m(u) be the third derivative of u**5/80 + 3*u**4/32 + u**3/4 + 78*u**2. Let m(i) = 0. Calculate i.
-2, -1
Let v(y) be the first derivative of -16*y**3/3 + 126*y**2 + 64*y + 88. Suppose v(n) = 0. What is n?
-1/4, 16
Let b = -475 + 4279/9. Let d = -58 + 60. Factor 0 - b*k**d + 2/9*k**3 + 0*k.
2*k**2*(k - 2)/9
Factor 12 + 5 - 33*s + 18*s**2 - 1 - 7*s**3 + 6*s**3.
-(s - 16)*(s - 1)**2
Let i(b) be the third derivative of b**8/10080 + b**7/1260 + b**5/60 + 14*b**2. Let m(d) be the third derivative of i(d). Find a, given that m(a) = 0.
-2, 0
Let i = 12 + -4. Suppose 0 = 4*z - 2*z - i. Factor 12*u**4 + 7*u**3 + u**3 + 4*u - 10*u**2 - 14*u**z.
-2*u*(u - 2)*(u - 1)**2
Let a(m) be the first derivative of 4 - 4/3*m**3 - 8/7*m**2 + 0*m. Suppose a(n) = 0. Calculate n.
-4/7, 0
Find s such that -10 + 29/2*s - 14*s**3 - 1/2*s**5 + 5*s**2 + 5*s**4 = 0.
-1, 1, 4, 5
Let i(f) be the first derivative of 1/6*f**2 - 1/60*f**5 + 14 - 1/24*f**4 - 1/3*f + 1/12*f**3. Suppose i(r) = 0. What is r?
-2, 1
Let w(t) = -4*t - 17. Let r be w(-5). Factor -4*n - 2*n**2 + 0*n**2 - 33*n**3 + 18*n**r + 17*n**3.
2*n*(n - 2)*(n + 1)
Determine d, given that 73*d**2 - d + d**5 + 55*d + 43*d**3 + 11*d**4 + 16 + 2*d = 0.
-4, -1
Let l = 2941/3 + -980. Let w be (-2)/(-6) - 1/(-3). Factor -l - w*x**2 - 1/6*x**3 - 5/6*x.
-(x + 1)**2*(x + 2)/6
Let l(v) be the third derivative of v**5/30 - 31*v**4/6 + 961*v**3/3 + 307*v**2. Factor l(p).
2*(p - 31)**2
Let c(w) be the third derivative of w**6/600 - 3*w**5/100 + 7*w**4/60 + 188*w**2. Factor c(x).
x*(x - 7)*(x - 2)/5
Let v(m) be the third derivative of 4*m**2 + 1/360*m**6 + 0*m**5 + 0*m**3 - 1/315*m**7 + 0 - 1/336*m**8 + 0*m**4 + 0*m. Suppose v(l) = 0. Calculate l.
-1, 0, 1/3
Factor 81*a - 45*a - 56*a - 100*a**2 - 115*a**3 - 35*a**4.
-5*a*(a + 1)*(a + 2)*(7*a + 2)
Suppose 0 = 5*x - 4*m + 152, 0*x = 4*x + 5*m + 138. Let o be (x/(-20))/((-4)/(-10)). Determine d so that 3/4*d**5 - 3/4*d**3 + 0*d**2 + 0 + 0*d + 0*d**o = 0.
-1, 0, 1
Let s(g) be the first derivative of -3*g**5/5 + 15*g**4/4 + 33*g**3 + 81*g**2/2 + 362. Factor s(c).
-3*c*(c - 9)*(c + 1)*(c + 3)
Let f(c) = 2*c**2 + 4*c. Let p be f(-4). Factor 17*x**2 + 7*x - p*x**2 + 1 + 5.
(x + 1)*(x + 6)
Factor 25*g**2 + g - 29*g**2 - 2*g**3 + 0 + 4 + g.
-2*(g - 1)*(g + 1)*(g + 2)
Find q, given that -27/5*q + 0 - 3/5*q**2 = 0.
-9, 0
Let o = 24 + -21. Factor -o*w**2 - 3 - 2*w**3 + 2*w + 1 + 2*w**2 + 3*w**2.
-2*(w - 1)**2*(w + 1)
Let i(x) be the third derivative of 17*x**2 + 2/15*x**5 + 0*x + 1/63*x**7 - 1/9*x**3 + 0 - 1/18*x**4 - 7/90*x**6. Factor i(u).
2*(u - 1)**3*(5*u + 1)/3
Factor 7*h**2 - 24 + 8*h**3 - 12*h**4 - 8*h**3 - 12*h + h**3 + 2*h**3 + 23*h**2 + 3*h**5.
3*(h - 2)**3*(h + 1)**2
Let g(d) be the second derivative of -d**9/52920 + d**7/2940 - d**6/1260 + 2*d**4 + 17*d. Let r(n) be the third derivative of g(n). Factor r(b).
-2*b*(b - 1)**2*(b + 2)/7
Let u(j) = 42*j**2 - 716*j + 12218. Let v(x) = -8*x**2 + 143*x - 2444. Let k(r) = 3*u(r) + 16*v(r). Factor k(o).
-2*(o - 35)**2
Let i(g) be the third derivative of -7/600*g**6 - 1/350*g**7 + 0*g + 1/300*g**5 + 1/15*g**3 + 7*g**2 + 7/120*g**4 + 0. Find t such that i(t) = 0.
-2, -1, -1/3, 1
Let h(v) = -v - 1. Let t(n) = -4*n**4 + 4*n**3 + 15*n**2 - 6*n - 12. Let d(p) = p**4 - p**3 + p. Let y(f) = d(f) - t(f). Let u(g) = -2*h(g) - y(g). Factor u(s).
-5*(s - 2)*(s - 1)*(s + 1)**2
Let n(f) = -f**3 + 14*f**2 - 49*f + 48. Let x(d) = d**3 - 13*d**2 + 47*d - 51. Let g(p) = -4*n(p) - 3*x(p). Let g(j) = 0. Calculate j.
1, 3, 13
Find r such that -4*r**4 + 2*r**4 + 2*r**2 + 6*r**3 + 7*r - 18*r**3 + 5*r = 0.
-6, -1, 0, 1
Let h(i) = -82*i**3 - 60*i**2 + 124*i + 88. Let q(t) = -16*t**3 - 12*t**2 + 25*t + 18. Let k(v) = -6*h(v) + 28*q(v). Suppose k(p) = 0. Calculate p.
-1, -6/11, 1
Determine h so that -290*h**2 + 1499*h + 36 - 15*h**3 - 276 - 2314*h = 0.
-16, -3, -1/3
Suppose 2*l + 5*q = 4*l + 20, 0 = 4*l + 4*q - 16. Let u(p) be the second derivative of l + 2*p + 1/12*p**4 + 0*p**3 + 1/20*p**5 + 0*p**2. Factor u(m).
m**2*(m + 1)
Let b be -2 - (5*-118)/5. Let u be ((-8)/(-10))/(-1 + b/60). Find s, given that -u*s**4 + 18/7*s + 4/7 - 2/7*s**3 + 18/7*s**2 = 0.
-1, -1/3, 2
Let r be 63/147 + (-54)/(-21). Let q(m) be the second derivative of 0*m**r + 1/42*m**7 + 0*m**2 + 0*m**4 + 0 + 1/20*m**5 + m - 1/15*m**6. Solve q(x) = 0.
0, 1
Let o(q) be the third derivative of q**6/120 + q**5/15 + q**4/8 + q**3/6 + 5*q**2. Let m be o(-2). Factor 3*a**2 - 2*a**m - 3 - 12*a + 0*a**2 + 14*a**3.
3*(a - 1)*(a + 1)*(4*a + 1)
Find o such that -1/2*o**3 + 0 + 0*o**2 + 2*o = 0.
-2, 0, 2
Suppose -40 - 5*v**4 - 46*v + 45*v**2 + 35*v**5 - 175*v**3 + 186*v + 5*v**2 - 5*v**4 = 0. Calculate v.
-2, -1, 2/7, 1, 2
Factor 1/7*b**5 - 11/7*b**2 - 3/7*b**3 + 3/7*b**4 + 0 - 6/7*b.
b*(b - 2)*(b + 1)**2*(b + 3)/7
Let n(d) be the third derivative of -d**4/6 - 10*d**3 + 21*d**2. Let r be n(-15). Factor -1/3*t**2 + 0 + 1/3*t**4 + r*t + 0*t**3.
t**2*(t - 1)*(t + 1)/3
Let x be (36/(-96))/(27/(-60)). Factor 1/3 - x*f - 7/6*f**2.
-(f + 1)*(7*f - 2)/6
Let n be 1/(-5) + -12*16/(-360). Factor 0 + n*u**3 - u**2 + 2/3*u.
u*(u - 2)*(u - 1)/3
Let u(y) be the first derivative of 5*y**6/6 - 7*y**5 + 35*y**4/2 - 10*y**3/3 - 75*y**2/2 + 45*y + 720. Let u(q) = 0. What is q?
-1, 1, 3
Factor -128*g**2 + 192*g - 256 + 18*g**2 + 2*g**3 + 74*g**2.
2*(g - 8)**2*(g - 2)
Let z(r) be the third derivative of r**7/630 + r**6/180 - 11*r**5/180 - r**4/6 - 6*r**2 - 6. Factor z(q).
q*(q - 3)*(q + 1)*(q + 4)/3
Let s be 6*10/6 - 88/77*7. Let 5/2 - 1/2*k - 2*k**s = 0. Calculate k.
-5/4, 1
Let q(s) be the second derivative of 0*s**5 + 0*s**2 + 0*s**3 + 1/3*s**4 + 13*s - 2/15*s**6 + 0. Determine a so that q(a) = 0.
-1, 0, 1
Factor -51*h**4 + 9/4*h**5 + 0*h - 11/2*h**2 + 133/4*h**3 + 0.
h**2*(h - 22)*(3*h - 1)**2/4
Let t(x) be the third derivative of x**5/45 + 17*x**4/18 + 32*x**3/9 - 97*x**2. Find v, given that t(v) = 0.
-16, -1
Let h = 94993/35 - 18496/7. Let t = h - 70. Factor -3/5*x**2 - t*x - 6/5.
-3*(x + 1)*(x + 2)/5
Let j(c) be the first derivative of 5*c**4/4 - 25*c**3/3 - 35*c**2 + 346. Find x such that j(x) = 0.
-2, 0, 7
Solve 1/3*p**4 - 32/3*p**3 + 544/3*p + 74*p**2 + 289/3 = 0.
-1, 17
Let v(j) = j**5 + j**4 - j**2 + j. Let l(a) = -a - 5*a**3 - 308*a**4 + 8*a**3 + 304*a**4. Let d be 1*1*(1 - 2). Let o(x) = d*v(x) - l(x). Factor o(b).
-b**2*(b - 1)**3
Let z(o) be the first derivative of 2*o**5/65 + 9*o**4/26 + 16*o**3/39 + 32. Suppose z(r) = 0. Calculate r.
-8, -1, 0
Let m(t) be the third derivative of -7/270*t**5 + 1/54*t**4 - 1/189*t**7 + 1/1512*t**8 + 1/60*t**6 + 0 + 13*t**2 + 0*t + 0*t**3. Factor m(k).
2*k*(k - 2)*(k - 1)**3/9
Suppose -5*o - 132 = -17*o. Suppose 5*c = o*c - 12. Let -1/6*q - 1/6*q**c + 0 = 0. What is q?
-1, 0
Let u(v) be the third derivative of v**6/360 + v**5/120 - 23*v**3/6 - 7*v**2. Let d(f) be the first derivative of u(f). What is g in d(g) = 0?
-1, 0
Let k(p) be the second derivative of -p**7/4200 + p**5/200 - p**4/60 - 11*p**3/6 - 7*p. Let x(d) be the second derivative of k(d). Determine t so that x(t) = 0.
-2, 1
Let d = 96 + -85. Factor -22*t**2 + 9*t - 8 + 8*t**3 - 47*t + 11 - d.
2*(t - 4)*(t + 1)*(4*t + 1)
Find i such that -533380*i**3 + 84 - 62*i + 533382*i**3 + 20*i**