 + 0 + 2/5*d**5 + 0*d**2 = 0.
0, 1
Let i(f) be the second derivative of -f**5/16 + 37*f**4/48 + f**3 - 4*f + 23. Suppose i(r) = 0. What is r?
-3/5, 0, 8
Let i = -8771 - -8774. Solve 4/15 - 4/15*s**i - 8/15*s**2 + 2/15*s + 2/15*s**5 + 4/15*s**4 = 0.
-2, -1, 1
Let c be 1/(4 - (-28)/(-8)). Let m be (c/(-6))/((21/18)/(-7)). Suppose 10/7*r + 4/7 + 2/7*r**3 + 8/7*r**m = 0. Calculate r.
-2, -1
Factor -9/7*f**3 + 2/7*f**4 + 0 + 9/7*f - 2/7*f**2.
f*(f - 1)*(f + 1)*(2*f - 9)/7
Suppose -4*w - 5 = -5*f, -16*w + 11*w = 4*f - 4. Let q(g) be the first derivative of -7 + 0*g**2 - 8/9*g**3 + w*g - g**4. Let q(v) = 0. What is v?
-2/3, 0
Let f(o) be the third derivative of 2*o**7/945 + 2*o**6/45 + 2*o**5/5 + 2*o**4 + 6*o**3 - 79*o**2. Factor f(p).
4*(p + 3)**4/9
Let -10/3*q + 2*q**2 + 0 = 0. What is q?
0, 5/3
Let y(r) be the third derivative of -r**6/30 + 41*r**5/15 - 176*r**4/3 - 968*r**3 + r**2 - 102. Factor y(p).
-4*(p - 22)**2*(p + 3)
Factor -16*m + 72/7*m**2 - 20/7*m**3 + 2/7*m**4 + 64/7.
2*(m - 4)*(m - 2)**3/7
Let s(p) = 8*p**3 + 510*p**2 + 8160*p + 14407. Let n(r) = 4*r**3 + 254*r**2 + 4080*r + 7203. Let w(j) = 7*n(j) - 3*s(j). Factor w(k).
4*(k + 2)*(k + 30)**2
Factor -178/5 + 358/5*g + 2/5*g**3 - 182/5*g**2.
2*(g - 89)*(g - 1)**2/5
Let s be 4/(-14)*(-58 + 57). Let -2/7*u**4 + s*u**5 + 0*u + 0 + 0*u**3 + 0*u**2 = 0. What is u?
0, 1
Solve -1/2*g**2 + 12 + 5/2*g = 0 for g.
-3, 8
Let r(a) = -a**2 - 9*a - 10. Let h be r(-5). Suppose -3*x = -19 + h. Factor 1/2*s**4 + 1/2*s**5 + 0*s + 0*s**2 + 0 + 0*s**x.
s**4*(s + 1)/2
Determine o, given that -o - 244*o**3 + 23 + 23*o - 20*o**5 - 140*o**2 + 2*o - 132*o**4 + 9 = 0.
-4, -1, 2/5
Let -5/4*o**4 + 0 + 9/4*o**3 - 7/4*o**2 + 1/2*o + 1/4*o**5 = 0. Calculate o.
0, 1, 2
Let m(c) be the third derivative of c**5/210 + 5*c**4/42 - 11*c**3/21 + 4*c**2 - 1. Factor m(l).
2*(l - 1)*(l + 11)/7
Let y(s) be the third derivative of -s**8/448 - 2*s**7/35 - 77*s**6/160 - 49*s**5/40 + s**2 + 2*s. Determine b, given that y(b) = 0.
-7, -2, 0
Let z(w) = w**2 - 3*w + 3. Let q be z(1). Suppose l = -q, 4*s + 2*l + 6 = 16. Suppose c + s*c - 5*c + c**2 = 0. What is c?
0, 1
Suppose -3*y + 8 = -y. Let k(w) be the third derivative of 0 + 0*w**3 - y*w**2 - 1/15*w**5 + 1/3*w**4 + 0*w. Factor k(l).
-4*l*(l - 2)
Let j(u) be the first derivative of 2/35*u**5 + 0*u**2 - 5/42*u**4 - 1/105*u**6 + 11 - 11*u + 2/21*u**3. Let x(f) be the first derivative of j(f). Factor x(y).
-2*y*(y - 2)*(y - 1)**2/7
Let m(y) = 5*y + 5*y**2 + y**3 - y - 1 - 2*y. Let v be m(-2). Find x, given that 4*x**4 - 8*x**5 + 5*x**5 + 4*x**4 + 2*x**2 - v*x**3 = 0.
0, 2/3, 1
Determine b so that -8/5*b**3 + 8/5 - 8*b + 34/5*b**2 = 0.
1/4, 2
Let v(z) be the second derivative of 15*z**7/7 + 25*z**6/2 - 241*z**5/4 + 250*z**4/3 - 130*z**3/3 + 47*z - 3. Determine s, given that v(s) = 0.
-13/2, 0, 2/3, 1
Let m be (-26)/728*6*-4. Factor 3/7*o**2 + 0 - m*o.
3*o*(o - 2)/7
Let d be (777/108 - 7)*(-12)/(-560). Let u(j) be the third derivative of 0*j - d*j**6 + 0 + 0*j**4 + 1/120*j**5 + 0*j**3 + 8*j**2. Let u(r) = 0. What is r?
0, 1
Suppose 2*h + 6 = m, 0*m + 31 = 4*m - h. Suppose m = 2*t - 0*t. Solve -t + 2 + d**2 - d + 0*d**2 = 0 for d.
-1, 2
Let u(n) be the second derivative of n**6/195 + n**5/10 + 23*n**4/78 + 11*n**3/39 - 49*n + 2. Solve u(k) = 0 for k.
-11, -1, 0
Let -4/9*f**5 - 7/9*f**4 + 8/9*f**2 + 2/9*f**3 - 1/9 + 2/9*f = 0. Calculate f.
-1, 1/4, 1
Let d(w) = 2*w**4 - 269*w**3 - 541*w**2 - 273*w - 9. Let g(k) = 2*k**4 - 268*k**3 - 540*k**2 - 272*k - 6. Let q(j) = -2*d(j) + 3*g(j). Factor q(n).
2*n*(n - 135)*(n + 1)**2
Let v be 220/336 + 6/14. Let o = v + -7/12. Solve 0*y**2 + 0*y + 0 - o*y**3 = 0.
0
Factor -4/19*w + 30/19 - 2/19*w**2.
-2*(w - 3)*(w + 5)/19
Let i(p) be the second derivative of p**4/24 - p**3/2 - 27*p**2/4 - 40*p. Factor i(v).
(v - 9)*(v + 3)/2
Let p(c) be the second derivative of 3*c + 1/75*c**5 + 7/2*c**2 + 0 + 0*c**3 - 1/10*c**4. Let v(u) be the first derivative of p(u). Suppose v(h) = 0. What is h?
0, 3
Let v = -108 - -111. Let r(a) be the first derivative of 1/12*a**4 + 0*a + 1/6*a**2 - 4 - 2/9*a**v. Find j such that r(j) = 0.
0, 1
Let f(p) = 37*p**2 - 2362*p + 141619. Let y(n) = 20*n**2 - 1180*n + 70810. Let h(r) = 5*f(r) - 9*y(r). Suppose h(m) = 0. What is m?
119
Suppose -25*n + 30 = -20. Let x(o) be the second derivative of 0*o**n - 1/5*o**5 - 4/3*o**4 - 8*o - 2*o**3 + 0. Suppose x(w) = 0. Calculate w.
-3, -1, 0
Suppose 6*h - 5*a = h + 20, 0 = -3*h - 4*a + 5. Suppose 0 = -h*d + 4*f + 132, -8 + 2 = -2*f. Determine c, given that c**2 - 43 + 2*c**2 + d + 2*c**2 - 10*c = 0.
1
Let d(w) be the third derivative of 0 - 25/6*w**4 + 14*w**2 + 1/42*w**7 - 7/24*w**6 + 0*w + 20/3*w**3 + 3/2*w**5. Factor d(a).
5*(a - 2)**3*(a - 1)
Let m = 7 - 0. Suppose 2*y - 1 - m = 0. Factor -7*a + 5*a**2 - 3*a - 3*a**2 + 4 + y*a**2.
2*(a - 1)*(3*a - 2)
Let f(g) be the first derivative of 3*g**5/35 - 24*g**4/7 + 116*g**3/7 - 24*g**2 - 114. Let f(a) = 0. What is a?
0, 2, 28
Let f(j) = 17*j**2 - j - 3. Let m be f(-2). Factor v**2 + v**2 - m*v + 73*v.
2*v*(v + 3)
Let h = 71 - 67. Determine i so that 5*i**3 + 6*i**2 - 24*i**4 + 10*i**5 + 18*i**h - 19*i**3 + 4*i = 0.
-1, -2/5, 0, 1
Factor -1/7*q**3 + 19 + 131/7*q**2 + 265/7*q.
-(q - 133)*(q + 1)**2/7
Suppose 0 = -3*g + 2*y - 591 - 170, y = g + 253. Let h = -252 - g. Suppose -9/4*d - 1 - 3/2*d**2 - 1/4*d**h = 0. Calculate d.
-4, -1
Let j(g) be the first derivative of 0*g**2 + 4*g + 1/60*g**6 - 1/24*g**4 + 0*g**3 + 0*g**5 - 2. Let i(r) be the first derivative of j(r). Factor i(a).
a**2*(a - 1)*(a + 1)/2
Find w such that 2/3*w**2 - 2*w + 4/3 = 0.
1, 2
Factor 87/5*b**3 + 128/5*b**2 + 44/5*b - 9/5*b**4 + 0.
-b*(b - 11)*(3*b + 2)**2/5
What is x in 4/9*x - 4/9 - 1/9*x**2 = 0?
2
Let l(j) be the second derivative of -j**7/63 + j**6/18 + 2*j**5/15 - 7*j**4/18 - j**3/3 + 3*j**2/2 - 50*j. Let l(o) = 0. What is o?
-3/2, -1, 1, 3
Solve -6*c**3 + 10*c**5 - 12*c**2 - 18*c**4 - 13*c**5 - 21*c**3 = 0 for c.
-4, -1, 0
Let l(u) be the first derivative of u**5/4 - 5*u**4/4 - 5*u**3/4 + 45*u**2/4 + 136. Factor l(i).
5*i*(i - 3)**2*(i + 2)/4
Let d = -7 - -11. Let 76*a**3 - 26*a - 31*a**2 + 10*a + 48*a**d - 17*a**2 = 0. What is a?
-2, -1/4, 0, 2/3
Let s(n) be the first derivative of -4*n**3/3 - 6*n**2 - 8*n - 81. Factor s(h).
-4*(h + 1)*(h + 2)
Suppose -55*n = -155*n + 100. Factor 3/2*d + n + 1/2*d**2.
(d + 1)*(d + 2)/2
Let c(f) be the first derivative of 28*f**3/9 + 10*f**2/3 - 8*f/3 - 125. Determine t, given that c(t) = 0.
-1, 2/7
Factor -10/3 + 20/3*o**3 - 21*o - 29*o**2.
(o - 5)*(4*o + 1)*(5*o + 2)/3
Find m such that 0*m + 2/25*m**4 + 0 - 18/25*m**2 - 16/25*m**3 = 0.
-1, 0, 9
Let z(b) be the third derivative of -b**8/840 + 8*b**7/525 - b**6/50 - 4*b**5/75 + 7*b**4/60 + 22*b**2 + 3. Suppose z(t) = 0. Calculate t.
-1, 0, 1, 7
Let d be (-2)/(2 + -6) + 1. Let t(z) be the first derivative of -6*z + z**3 - 6 + d*z**2. Suppose t(l) = 0. Calculate l.
-2, 1
Suppose 0 = -5*m - 26 + 1, 0 = -3*b + 3*m. Let r be (2/4)/(b/(-3*10)). Factor 0*o + 0 + 1/2*o**r + o**2 - 1/2*o**4.
-o**2*(o - 2)*(o + 1)/2
Let p(b) = -13*b**3 - 11*b**2 + 3*b + 31. Let q(o) = -84*o**3 - 72*o**2 + 20*o + 200. Let k(l) = -32*p(l) + 5*q(l). Factor k(g).
-4*(g - 1)*(g + 1)*(g + 2)
Let w be 9/(9/2)*2/(-10). Let z = 1/10 - w. Find v, given that -v + z*v**2 + 0 = 0.
0, 2
Let d(z) = -16*z**3 + 59*z**2 - 35*z - 54. Let u(i) = 17*i**3 - 61*i**2 + 37*i + 54. Let v(f) = 5*d(f) + 4*u(f). Let v(b) = 0. What is b?
-3/4, 2, 3
Let q(o) be the first derivative of -2*o**3/21 - 72*o**2/7 - 2592*o/7 + 161. Suppose q(i) = 0. What is i?
-36
Let w(f) be the second derivative of f**5/30 - 5*f**4/18 + 8*f**3/9 - 4*f**2/3 - 75*f. Factor w(o).
2*(o - 2)**2*(o - 1)/3
Let 13*v**3 - 12*v**5 + 55*v + 6 - 36 + 7*v**5 - 63*v**3 + 30*v**4 = 0. What is v?
-1, 1, 2, 3
Let c(s) be the third derivative of s**6/960 - s**5/240 + s**4/192 + 83*s**2. Find r, given that c(r) = 0.
0, 1
Find w, given that -1350*w**2 - 934*w**3 - 20*w**5 + 5*w**5 + 195*w**3 - 156*w**3 + 27*w - 200*w**4 + 800 + 133*w = 0.
-5, -4, -1, 2/3
Let y(t) be the second derivative of 27*t + 1/130*t**5 + 4/39*t**4 + 1/3*t**3 + 0 + 6/13*t**2. Factor y(n).
2*(n + 1)**2*(n + 6)/13
Factor -44*o - 2/5*o**2 - 1210.
-2*(o + 55)**2/5
Suppose -3*j + 9 = 3*h, -7 = -3*h - 3*j - 2*j. Fin