he first derivative of 0*i**4 - 2/9*i - 2/45*i**5 + 4/27*i**d - 2 + 0*i**2. Factor w(q).
-2*(q - 1)**2*(q + 1)**2/9
Factor 46 - 2/7*d**2 - 320/7*d.
-2*(d - 1)*(d + 161)/7
Let g(n) = -37*n - 54. Let d be g(-6). Let z = -165 + d. What is v in -2/7*v + 0 + 8/7*v**2 - 6/7*v**z = 0?
0, 1/3, 1
Let t(g) be the first derivative of -g**6/9 + 3*g**4/2 + 8*g**3/9 - 4*g**2 + 434. Suppose t(r) = 0. Calculate r.
-2, 0, 1, 3
Let d(v) be the second derivative of v**4/4 + 11*v**3 + 363*v**2/2 - 49*v - 1. What is j in d(j) = 0?
-11
Let l = -17/20 + 5/4. Let a(z) be the first derivative of 2*z**2 + 2*z - z**4 - l*z**5 + 0*z**3 - 2. Let a(j) = 0. What is j?
-1, 1
Suppose 2*p + 0*p = -2*p. Let r(k) be the first derivative of 2 + 1/10*k**4 + 2/15*k**3 - 2/5*k**2 + p*k. Factor r(b).
2*b*(b - 1)*(b + 2)/5
Let r = -62 - -62. Let a(p) be the third derivative of -2/15*p**3 + 0*p + 1/300*p**6 - 1/50*p**5 - 1/12*p**4 - 7*p**2 + r + 1/525*p**7. Factor a(f).
2*(f - 2)*(f + 1)**3/5
Let z = -101/390 - -14/39. Factor -1/10*p**4 - z*p + 1/10*p**2 + 1/10*p**3 + 0.
-p*(p - 1)**2*(p + 1)/10
Suppose -33 = 2*o - 13*o. Let 18*a**4 + 16*a**3 - 40*a - 15*a**2 + 9*a**o + 20 - 8*a**4 = 0. Calculate a.
-2, 1/2, 1
Suppose -13*z + 75 - 10 = 0. Suppose i - 2*a = -2, 0*i - z*i = -5*a. Find t such that 0*t - 2 + 1/2*t**i = 0.
-2, 2
Let g(y) be the first derivative of 1/3*y**3 - 1/12*y**4 + 4 - 1/2*y**2 + 11*y. Let s(u) be the first derivative of g(u). What is v in s(v) = 0?
1
Suppose -9*o + 36 = 3*o. Suppose 4*n - o*f + 4*f = 9, -4*f = -2*n. Suppose 128/7*p**3 - 64/7 - 4/7*p**4 - 16/7*p**5 - 256/7*p + 32/7*p**n = 0. Calculate p.
-2, -1/4, 2
Factor 49005*q**2 + 421 - 401 + 765*q + 1215*q.
5*(99*q + 2)**2
Let m be ((5/(175/28))/1)/((-60)/(-225)). Let -38/3*q**2 - 2*q**m - 16/3 - 20*q = 0. Calculate q.
-4, -2, -1/3
Solve 212/7 - 104/7*m**2 - 2/7*m**3 + 110/7*m = 0 for m.
-53, -1, 2
Let x = -4904 - -4908. Solve -9/4*r**3 + 9/4*r + 12*r**2 - 21/2*r**x - 3/2 = 0 for r.
-1, -1/2, 2/7, 1
Let i = -20054 + 40109/2. Factor -3/4*q - i - 1/4*q**2.
-(q + 1)*(q + 2)/4
Let b(s) be the second derivative of 75/28*s**5 + 0 - 75/28*s**4 - 38*s - 3/14*s**2 + 15/14*s**3. Determine n, given that b(n) = 0.
1/5
Let z(o) = -o**2 - 3*o + 3. Let i be z(-3). Suppose u - 3*t - 12 = 0, -3*u - 3*t = -t - i. Solve 0*h + u*h**5 - 6*h**3 + h + 3*h**4 - h = 0.
-2, 0, 1
Let p(b) be the second derivative of -1/25*b**6 + 0*b**3 - 7*b + 0 + 0*b**4 + 1/25*b**5 + 1/105*b**7 + 0*b**2. Let p(u) = 0. What is u?
0, 1, 2
Suppose 178*l - 296*l = -236. Let -2 + l*m**2 + 1/2*m - 1/2*m**3 = 0. Calculate m.
-1, 1, 4
Let k(r) be the second derivative of -r**7/14 - r**6/10 + 9*r**5/20 + 5*r**4/4 + r**3 + 40*r - 3. Factor k(d).
-3*d*(d - 2)*(d + 1)**3
Let x(t) = t**4 - t**3 + t + 1. Let a(j) = -5*j**4 - 25*j**3 + 90*j**2 - 110*j + 30. Let r(f) = -a(f) - 10*x(f). Suppose r(v) = 0. Calculate v.
1, 2
Factor 4/7*q**4 + 44/7*q**3 + 0 - 48/7*q**2 + 0*q.
4*q**2*(q - 1)*(q + 12)/7
Suppose 3*c + 24 = 5*d, 0 = 2*d + 5*c + 7 + 2. Let o(b) = 2*b**2 + 3*b - 1. Let r be o(2). Solve r*z**d - z**3 + z**4 + 6*z + 15*z**2 + z**4 + z**4 = 0 for z.
-2, -1, 0
Suppose k + 3*a = -14, 5*a = 34*k - 30*k - 46. Find u, given that 0 + 5/4*u**k + 5/2*u**3 + 5/4*u**2 + 0*u = 0.
-1, 0
Let z(s) be the second derivative of -s**6/40 + s**4/8 - 8*s**2 + 3*s. Let f(m) be the first derivative of z(m). Suppose f(t) = 0. Calculate t.
-1, 0, 1
Let o be 992/1400*(3 + 2). Let h = o - 22/7. Determine a, given that -h + 4/5*a - 2/5*a**2 = 0.
1
Suppose 3*o = 3*j + o - 8, -j = 5*o - 14. Suppose 5*i - 40 = 5*v, 5*i = j*v + 21 + 16. Solve 0*x**2 + 0*x**3 + 1/4*x**i + 0*x**4 + 0 + 0*x = 0.
0
Let x(c) be the first derivative of -1/9*c**3 - 10 - 2/3*c**2 - c. Factor x(w).
-(w + 1)*(w + 3)/3
Let f = -10 - -15. Let z(p) be the first derivative of 3/2*p**2 + p**3 - f - 3/4*p**4 - 3*p. Determine s, given that z(s) = 0.
-1, 1
Let m(n) = n**2 + n + 1. Suppose 3*y - 2*y = 0. Suppose -30 = -z - y. Let c(w) = 5*w**2 + 10*w + 2. Let u(b) = z*m(b) - 5*c(b). Let u(s) = 0. Calculate s.
2
Let q(g) be the first derivative of -1/3*g**2 + 0*g + 8/3*g**3 - 1 - 6*g**4. Suppose q(d) = 0. Calculate d.
0, 1/6
Solve 0*h**3 + 3/4*h**4 - 33/4*h**2 - 27/2*h - 6 = 0.
-2, -1, 4
Suppose -4*l - i - 4*i = -4, 0 = 4*l - 5*i + 36. Let p be 21/9 - l/6. Factor -1 + 4*q**2 - 3 + q**p - q**2.
(q - 1)*(q + 2)**2
Let g(b) = -b**2 - 11*b + 12. Let q be g(-12). Let f = 63/106 - -3/530. Factor 3/5*a + f*a**2 + q - 3/5*a**3 - 3/5*a**4.
-3*a*(a - 1)*(a + 1)**2/5
Let x(g) be the third derivative of g**8/1344 + g**7/105 + g**6/80 - g**5/6 + 25*g**4/96 + 6*g**2 - 8. Factor x(j).
j*(j - 1)**2*(j + 5)**2/4
Let v(s) = -3*s**3 - 2*s**2 - 5. Let h be (-64)/(-12) + 1/(-3). Let j(z) = 2*z**3 + 2*z**2 + 4. Suppose -3*d + 3 = -9. Let i(l) = d*v(l) + h*j(l). Factor i(b).
-2*b**2*(b - 1)
Let f = 453 - 299. Let j(w) = 11*w**2 + 7*w + 4. Let v be j(-4). Factor 4*z**4 - 2*z**4 + 6*z**3 - 10*z**2 + v*z**5 - f*z**5 + 4*z.
-2*z*(z - 1)**3*(z + 2)
Let r(b) be the third derivative of -1/15*b**5 + 0*b**3 + 0 - 6*b**2 + 0*b + 1/3*b**4. Factor r(d).
-4*d*(d - 2)
Let x(p) = p**5 - 81*p**4 - 138*p**3 - 65*p**2 - 9*p - 9. Let n(q) = 20*q**4 + 34*q**3 + 16*q**2 + 2*q + 2. Let b(w) = -9*n(w) - 2*x(w). Factor b(o).
-2*o**2*(o + 1)**2*(o + 7)
Suppose -13*p - 31 = -14*p. Factor -n**2 + 83 - p - 26 - 34 + 9*n.
-(n - 8)*(n - 1)
Let l(a) be the second derivative of -a**5/20 - a**4/4 + 2*a**2 + a - 82. Factor l(m).
-(m - 1)*(m + 2)**2
Suppose 5*l + 8 = -3*r + 9, 0 = -9*r - 27. Factor 15/4 + 5/4*y**l - 5/4*y**3 + 25/4*y.
-5*(y - 3)*(y + 1)**2/4
Let u = -4/3 - -2. Let d(k) be the first derivative of -6*k**2 - 1 + 18*k + u*k**3. Factor d(t).
2*(t - 3)**2
Let q be 6 - (-33)/(-2)*52/156. Factor 1/2*k**2 - 1 - q*k.
(k - 2)*(k + 1)/2
Let b(x) = -9*x**3 - 17*x**2 + 45*x - 19. Let o(d) = 6*d**3 + 11*d**2 - 30*d + 13. Let k(u) = -5*b(u) - 8*o(u). Determine v so that k(v) = 0.
-3, 1
Suppose 0 = -76*a + 74*a + 2816. Let x be 2320/a + 3/(-8). Solve -6/11 - 10/11*y**2 + x*y + 2/11*y**3 = 0 for y.
1, 3
Let k(u) be the first derivative of -3/10*u**5 + 3/2*u**4 + 0*u + 30 + 0*u**2 + 2*u**3 - 1/4*u**6. Suppose k(n) = 0. What is n?
-2, -1, 0, 2
Let d(o) = -3*o**3 + 120*o**2 + 515*o + 392. Let v(k) = -k**3 + 30*k**2 + 129*k + 98. Let g(y) = 6*d(y) - 22*v(y). Solve g(l) = 0.
-7, -1
Factor -92/3*u + 10 + 2/3*u**4 - 12*u**3 + 32*u**2.
2*(u - 15)*(u - 1)**3/3
Let i(p) be the second derivative of -p**5/390 + p**4/39 - p**3/13 - 4*p**2 - 21*p. Let f(d) be the first derivative of i(d). Factor f(m).
-2*(m - 3)*(m - 1)/13
Let o(a) be the second derivative of 9/14*a**3 + 1/98*a**7 + 4/7*a**4 - 7*a + 3/7*a**2 + 3/10*a**5 + 0 + 3/35*a**6. Solve o(i) = 0 for i.
-2, -1
Let f(s) be the third derivative of s**9/6048 - s**8/1344 + 29*s**5/60 - 36*s**2. Let r(o) be the third derivative of f(o). Factor r(b).
5*b**2*(2*b - 3)
Factor 24 + 7*f**2 - 2*f**2 + 17*f - 2*f**2 + 27*f - 26*f.
3*(f + 2)*(f + 4)
Let a(f) be the second derivative of -f**6/60 + f**5/8 + 7*f**4/24 - 5*f**3/12 - 3*f**2/2 + 14*f. Factor a(h).
-(h - 6)*(h - 1)*(h + 1)**2/2
Let w(t) = -t**3 + t**2 + 1. Let j = 23 + -19. Let h(u) = 6*u**3 - 12*u**2 + 10*u - 8. Let k(l) = j*w(l) + h(l). Determine b, given that k(b) = 0.
1, 2
Factor -24*s**2 - s**4 + 8*s**2 - 20*s**3 - 3*s**4 + 29*s**3 + 56*s**3.
-s**2*(s - 16)*(4*s - 1)
Factor 900 + 20*b + 1/9*b**2.
(b + 90)**2/9
Let r be 555/((-4 + (-6)/2)/(-1)). Let o = r + -79. Factor o*u**2 - 2/7 + 2/7*u - 2/7*u**3.
-2*(u - 1)**2*(u + 1)/7
Let 2/9*h**3 + 176/9*h + 0 - 178/9*h**2 = 0. Calculate h.
0, 1, 88
Find m, given that -3/2*m**3 - 1/2*m**4 - 1/2*m - 3/2*m**2 + 0 = 0.
-1, 0
Suppose 0*g + 5*w + 28 = g, -3*w - 12 = g. Suppose 15 = 8*h - g*h. Factor 4 - h*l**2 + 250*l + 2 - 247*l.
-3*(l - 2)*(l + 1)
What is d in -2286*d**3 - 3*d**2 + 2289*d**3 - 7*d - 1 + d**4 + 7 = 0?
-3, -2, 1
Let m(a) = -5*a**4 + 75*a**3 - 1445*a**2 - 1519*a. Let u(b) = 2*b**4 + b**3 + b**2 - b. Let l(x) = -2*m(x) - 4*u(x). Determine t so that l(t) = 0.
-1, 0, 39
Factor -2/5*q**4 + 384/5*q + 32/5*q**3 - 288/5 - 176/5*q**2.
-2*(q - 6)**2*(q - 2)**2/5
Let d(z) = 4*z**2 + 7*z - 11. Let w be 2/3 - 7/(-3). Let c(a) = -7*a - 41*a + 76 - 581*a**2 + 553*a**2. Let o(y) = w*c(y) + 20*d(y). Solve o(s) = 0 for s.
-2, 1
Let d(h) = -20*h**4 - 196*h**3 -