96/45*-3. Let r(a) = w*p(a) - 22*q(a). Solve r(k) = 0.
-3, 0
Factor 51/5*p - 2/5 - 154/5*p**2.
-(7*p - 2)*(22*p - 1)/5
Let f(x) = 57*x - 5. Let d be f(1). Suppose 0 = 54*t - d*t - 6. Factor -3/4*u - 3/2*u**t + 0 - 9/4*u**2.
-3*u*(u + 1)*(2*u + 1)/4
Let d be (-372)/(-60) + (-4)/(-5). Factor 3*i - 4*i + 9*i + d*i + 5*i**2.
5*i*(i + 3)
Let k(t) be the third derivative of -2*t**2 - 1/33*t**3 + 0*t + 0 - 1/22*t**4 + 7/330*t**5. Factor k(f).
2*(f - 1)*(7*f + 1)/11
Let -228/5 + 224/5*t + 4/5*t**2 = 0. Calculate t.
-57, 1
Let o(z) be the second derivative of 0*z**4 + 1/70*z**5 + 1/105*z**6 + 0 - 8*z + 0*z**3 + 0*z**2. Factor o(l).
2*l**3*(l + 1)/7
What is v in 6/5*v**3 + 6/5*v**2 - 2/5*v**4 - 22/5*v + 12/5 = 0?
-2, 1, 3
Let t(w) = -w**3 - 20*w**2 + 21*w + 2. Let f be t(-21). Let 9 + o - o**3 - 4 + 2*o**f - 7 = 0. What is o?
-1, 1, 2
Let q(a) be the third derivative of -a**7/42 - 41*a**6/24 - 110*a**5/3 - 250*a**4/3 + 4*a**2 - 3*a. Factor q(u).
-5*u*(u + 1)*(u + 20)**2
Let o(p) = 14*p**3 - 21*p - 40. Let i(k) = -5*k**3 + 7*k + 14. Let d(w) = 22*i(w) + 8*o(w). What is m in d(m) = 0?
-2, -1, 3
Let s(o) be the second derivative of -o**7/14 - 8*o**6/15 - 13*o**5/10 - 4*o**4/3 - o**3/2 + 8*o + 8. Solve s(p) = 0.
-3, -1, -1/3, 0
Factor 2/3*q**3 + 34/3*q + 20/3 + 16/3*q**2.
2*(q + 1)*(q + 2)*(q + 5)/3
Let s(y) be the second derivative of 2*y + 0 - 1/21*y**7 - 6*y**4 + 0*y**3 + 11/15*y**6 + 0*y**2 - 12/5*y**5. Let s(q) = 0. Calculate q.
-1, 0, 6
Let m = 5 + 5. Let q(g) = -g**5 - 6*g**3 - 2*g**2 + g + 4. Let u(a) = 3*a**5 + 13*a**3 + 4*a**2 - a - 9. Let k(d) = m*q(d) + 4*u(d). Let k(l) = 0. What is l?
-1, 1, 2
Let f(p) be the second derivative of -p**5/40 - 7*p**4/72 - 5*p**3/36 - p**2/12 + 3*p. What is b in f(b) = 0?
-1, -1/3
Let q = -753/7 + 3779/35. Factor 4/5*o + 0 + q*o**3 + 22/15*o**2.
2*o*(o + 3)*(3*o + 2)/15
Let k(c) be the third derivative of -c**5/30 - 3*c**4/4 + 2*c**2 - 26*c. Let k(o) = 0. What is o?
-9, 0
Let n(o) = -o**3 + o**2 - 2*o. Let s(i) = 51*i**3 - 1659*i**2 - 831*i - 105. Let u(v) = -3*n(v) - s(v). Factor u(c).
-3*(c - 35)*(4*c + 1)**2
Solve 40*z - 43*z + 101 + 65*z - 5 - 3*z**2 + 31*z = 0 for z.
-1, 32
Let s be 25/(-250)*(-5)/2. Factor -s*q**2 + 1/4*q**3 + 1/4*q**4 - 1/4*q + 0.
q*(q - 1)*(q + 1)**2/4
Let m(l) be the first derivative of 51*l**4/16 + 9*l**3 + 3*l**2/2 - 94. Find q, given that m(q) = 0.
-2, -2/17, 0
Let z(c) be the third derivative of -c**9/15120 + c**8/2520 + c**5/30 + 13*c**2. Let a(l) be the third derivative of z(l). Let a(b) = 0. Calculate b.
0, 2
Suppose -5*l + 31 = 2*f, -2 = 3*f - 4*f + 2*l. Factor 11*r**2 + 9 - 20 + r**2 - 9*r + f.
3*(r - 1)*(4*r + 1)
Let t(j) be the second derivative of -j**7/70 + 2*j**6/25 - 3*j**5/20 + j**4/10 + 142*j. Factor t(s).
-3*s**2*(s - 2)*(s - 1)**2/5
Let b(d) be the first derivative of 9*d**2 + 28 - 1/3*d**3 - 81*d. Solve b(i) = 0 for i.
9
Let a(b) be the second derivative of -b**4/48 + b**3/24 - 227*b. Factor a(m).
-m*(m - 1)/4
Suppose -2*l + 0*o = -2*o - 30, 2*l - 15 = -o. Let p = l + -7. Factor 3/7*a**2 + 1/7*a**p + 0 + 2/7*a.
a*(a + 1)*(a + 2)/7
Let a(v) be the first derivative of -2*v**3/3 + 8*v**2 + 66*v + 595. Factor a(d).
-2*(d - 11)*(d + 3)
Solve -26/15*n**3 + 2/5*n**5 + 32/15*n**4 - 4/5*n**2 + 0 + 0*n = 0 for n.
-6, -1/3, 0, 1
Let d(y) be the second derivative of -y**7/14 + 9*y**6/10 + 9*y**5/20 - 25*y**4/4 - 9*y**3 + 2*y + 338. Suppose d(p) = 0. What is p?
-1, 0, 2, 9
Let r(t) = t**3 + 9*t**2 + 6*t. Let k(q) = q**3 - q**2 + q. Let v = 84 - 83. Let a(f) = v*r(f) - 6*k(f). Factor a(g).
-5*g**2*(g - 3)
Let b(h) be the second derivative of -1/80*h**5 - 1/12*h**4 + 7*h - 1/6*h**3 + 0 + 0*h**2. What is r in b(r) = 0?
-2, 0
Let q be (4 + -7)/(0 + -1). Let j(b) be the second derivative of 0*b**2 - 1/30*b**4 + 0 + 0*b**q - 1/50*b**6 + 1/20*b**5 + 2*b. Find w, given that j(w) = 0.
0, 2/3, 1
Let r(p) be the first derivative of 1/6*p**3 - 3/4*p**2 + 0*p - 45. Factor r(s).
s*(s - 3)/2
Let l(n) be the first derivative of n**5/5 - 23*n**4/4 + 80*n**3/3 - 38*n**2 + 526. Let l(y) = 0. Calculate y.
0, 2, 19
Let n(i) be the first derivative of -i**7/168 + i**6/60 - i**5/80 - 4*i + 3. Let c(a) be the first derivative of n(a). What is q in c(q) = 0?
0, 1
Let d(z) be the first derivative of -5*z**4 + 22 + 65/2*z**2 - 20*z + 65/3*z**3. Solve d(l) = 0 for l.
-1, 1/4, 4
Find b such that 1880/7*b + 18/7*b**3 + 204*b**2 + 624/7 = 0.
-78, -2/3
Let d(r) = 7*r**2 - 1. Let q(u) = -5*u**2 - 116*u + 1683. Let m(z) = -d(z) - q(z). Let m(y) = 0. What is y?
29
Factor 7/5*d**3 + 0*d + 0 + 8/5*d**4 + 1/5*d**5 + 0*d**2.
d**3*(d + 1)*(d + 7)/5
Let m(z) be the third derivative of -z**5/20 - 5*z**4/4 - 25*z**3/2 + 87*z**2. Suppose m(g) = 0. Calculate g.
-5
Let y(d) = 21*d**4 + 11*d**3 + 6*d**2 + 6*d. Let q(h) = h**2 - 139*h + h**4 + h**3 + 140*h + 0*h**2. Let u(j) = -6*q(j) + y(j). Factor u(i).
5*i**3*(3*i + 1)
Let j(w) = -10*w**2 - 65*w. Let k(m) = -5*m**2 + 0*m**2 + 6*m + 6*m**2. Let c(b) = 4*j(b) + 45*k(b). Factor c(l).
5*l*(l + 2)
Let g be 32*((-5)/4)/(6/18). Let i be (-92)/g + 2/(-12). Suppose -i*r**2 + 0 - 9/5*r = 0. What is r?
-3, 0
Let i(z) be the third derivative of z**7/210 + z**5/60 + z**4/8 + z**3/6 - 5*z**2. Let k(b) = 2*b**4 + 4*b + 2. Let d(f) = 4*i(f) - 3*k(f). Factor d(n).
-2*(n - 1)**2*(n + 1)**2
Let s(k) be the second derivative of 3/16*k**4 + 1/2*k**2 - 1/2*k**3 + 19*k + 0. Find i, given that s(i) = 0.
2/3
Let c(p) be the first derivative of -31 + 1/6*p**2 - 1/9*p**3 + 2*p. Factor c(s).
-(s - 3)*(s + 2)/3
Let y(u) be the first derivative of u**3/24 - 23*u**2/4 + 529*u/2 + 80. Factor y(j).
(j - 46)**2/8
Let d(v) = -112*v**3 + 96*v**2 - 12*v - 8. Let o(t) = -t**2 + t. Let l be 1 + (-28)/12 - 1/(-3). Let x(f) = l*d(f) - 16*o(f). Let x(z) = 0. Calculate z.
-2/7, 1/2
Let j(s) be the first derivative of 18*s**5/5 - 7*s**4 + 8*s**3/9 + 10*s**2/3 + 2*s/3 - 86. Determine a so that j(a) = 0.
-1/3, -1/9, 1
Let p(t) be the third derivative of -13/60*t**4 - 2/5*t**3 - 7/300*t**6 + 0 + 0*t + 13/75*t**5 - 8*t**2. Suppose p(h) = 0. Calculate h.
-2/7, 1, 3
Let t = 626738/1419 + -13/1419. Let a = -438 + t. Factor 4/3*v**3 + 5/3*v + 2/3 - a*v**2.
(v - 2)*(v - 1)*(4*v + 1)/3
Let n(j) be the third derivative of j**7/945 - j**6/30 - j**5/270 + j**4/6 - 156*j**2 - j. Factor n(h).
2*h*(h - 18)*(h - 1)*(h + 1)/9
Let f(i) be the second derivative of 5*i**7/42 + i**6/6 - 7*i**5/2 - 5*i**4/2 + 75*i**3/2 - 135*i**2/2 - 172*i. Determine z, given that f(z) = 0.
-3, 1, 3
Factor -8/7*h + 6/7*h**2 + 0.
2*h*(3*h - 4)/7
Let b = 60118/17 + -3536. Factor b*o**3 + 4/17*o**2 + 4/17 - 14/17*o.
2*(o - 1)*(o + 2)*(3*o - 1)/17
Let a be (-6)/(-10) + (-1176)/(-40). Let s = a - 88/3. Factor 2*i - s*i**2 + 0.
-2*i*(i - 3)/3
Let t = 2335726/525 + -4449. Let a(g) be the third derivative of 0 + 0*g**5 - 1/840*g**8 + 5*g**2 + 0*g**6 + 0*g + 0*g**4 - t*g**7 + 0*g**3. Solve a(m) = 0.
-1, 0
Let a = 23 - 20. Factor -8*x**2 + 6 + 2*x**4 + 6*x**3 + a + 6*x - 3*x**4 - 12*x**3.
-(x - 1)*(x + 1)*(x + 3)**2
Suppose 2*m - 2*w = 12, -3 - 3 = 2*w. Find d such that -4*d**2 - 7*d - 4 + 18*d - m*d = 0.
1
Factor 3*i**2 - 2798*i - 2791*i - 42 + 5574*i.
3*(i - 7)*(i + 2)
Let y(j) = j + 5. Let a be y(-5). Factor 3*z**4 + 3*z**5 + a*z**3 - z**3 - 5*z**3 + 0*z**3.
3*z**3*(z - 1)*(z + 2)
Suppose 0 = 2*h + 3*p - 32, h + 5*p - 28 = -h. Suppose h = -5*b - 5*v + 59, 5*v = 3*b. Solve -8/7*s**2 - 6*s**4 - 14*s**b + 0 + 0*s + 48/7*s**3 = 0.
-1, 0, 2/7
Let u(z) be the second derivative of -z**6/120 + z**5/16 - z**4/6 + z**3/6 - 902*z. Suppose u(c) = 0. Calculate c.
0, 1, 2
Let o(g) = -26*g**2 - 11*g + 24. Let u be o(3). Let y be 150/(-2)*90/u. Factor -50/3*v - 10/3*v**2 - y - 2/9*v**3.
-2*(v + 5)**3/9
Factor 766/3*m - 2/3*m**3 - 380/3*m**2 - 128.
-2*(m - 1)**2*(m + 192)/3
Let f be -7 + (11/55)/((-4)/444*-3). Factor f*s - 2/5*s**3 - 4/5 + 4/5*s**2.
-2*(s - 2)*(s - 1)*(s + 1)/5
Let n(f) be the second derivative of f**6/120 - 3*f**5/40 + f**4/4 - 5*f**3/12 + 3*f**2/8 + 4*f + 11. Solve n(u) = 0 for u.
1, 3
Let g = -3 + 6. Suppose 4*o + 10 = 5*u, -5*u = o + g - 13. Factor -v**2 + 2 + v**3 - 2*v - v**2 - v**3 + u*v**3.
2*(v - 1)**2*(v + 1)
Factor 15*s**5 - s**4 - 4*s**3 - 36*s**3 - 10*s**5 + 36*s**4.
5*s**3*(s - 1)*(s + 8)
Factor 2/5*n**2 + 54/5 + 56/5*n.
2*(n + 1)*(n + 27)/5
Suppo