 s**4/18 + 95*s**3/3 - 89. Let m(w) be the third derivative of p(w). Determine k so that m(k) = 0.
-2/25, 1/3
Let k be (-36)/300 + 112515/43875. Determine b so that 13/9*b + 1/9*b**5 + 2*b**3 - k*b**2 - 1/3 - 7/9*b**4 = 0.
1, 3
Let b(n) be the third derivative of -38*n**2 - 4/525*n**7 - 1/50*n**6 + 0*n + 0*n**4 + 1/420*n**8 + 0 + 0*n**5 + 0*n**3. Factor b(a).
4*a**3*(a - 3)*(a + 1)/5
Let z be (14/(-6) + (-16)/(-3))*(0 + 16)/80. Factor 93*g - 234/5 - z*g**3 - 228/5*g**2.
-3*(g - 1)**2*(g + 78)/5
Let r(l) be the first derivative of -l**6/2 + 18*l**5 + 1749*l**4/4 + 1564*l**3 - 7488*l**2 + 8448*l - 6469. Determine q so that r(q) = 0.
-8, 1, 44
Let l(n) = 2*n**2 - 44*n + 341. Let y be l(17). Suppose 2*s = -10, 2*p - y*s = -170*s + 5. Solve 0*u + 3/4*u**3 - 3/4*u**2 + p = 0.
0, 1
Suppose -7*y - 6679 = -6700. Solve 16/5*v**2 - 16/5*v**4 + 4/5*v**5 - 12/5*v + 0 + 8/5*v**y = 0 for v.
-1, 0, 1, 3
Let f(o) be the third derivative of -o**9/336 + 13*o**8/560 - 2*o**7/35 + o**6/30 - o**3 - 3*o**2 - 11*o. Let n(x) be the first derivative of f(x). Factor n(k).
-3*k**2*(k - 2)**2*(3*k - 1)
Let g(o) = -o**4 + 18*o**3 + 21*o**2 - 40*o + 4. Let n(q) = -2*q**4 + 19*q**3 + 19*q**2 - 39*q + 6. Let l(m) = 3*g(m) - 2*n(m). Factor l(t).
t*(t - 1)*(t + 3)*(t + 14)
Let k(i) be the second derivative of 24*i + 3/4*i**4 + 0*i**2 - 1/20*i**5 + 0 - 7/3*i**3. Solve k(j) = 0 for j.
0, 2, 7
Let k(q) be the first derivative of -q**6/6 - 4*q**5 - 9*q**4/2 + 20*q**3/3 + 19*q**2/2 - 2126. Factor k(j).
-j*(j - 1)*(j + 1)**2*(j + 19)
Let p be 2 - (-3)/(-12)*0. Let c be ((-14)/(-4))/(64/80 - (-23)/15). Factor -3/4*u**3 + 3*u**p + c - 15/4*u.
-3*(u - 2)*(u - 1)**2/4
Let k = -9687/2 + 4845. Let d(a) be the first derivative of 13 - 2*a + k*a**2 - 1/3*a**3. Solve d(c) = 0 for c.
1, 2
Let j(g) = -8*g**3 - 889*g**2 + 133211*g - 6615893. Let l(b) = 3*b**3 + 445*b**2 - 66605*b + 3307947. Let d(a) = -6*j(a) - 15*l(a). Factor d(y).
3*(y - 149)**3
Suppose -3*t - 154 = 2*v - 5*t, 3*t - 304 = 4*v. Let x = 75 + v. Factor c - c - x + 0 - 8*c**2 - 10*c.
-2*(c + 1)*(4*c + 1)
Let y(p) = 64*p + 960. Let j be y(-15). Let r(d) be the third derivative of -1/330*d**5 + 1/220*d**6 - 2*d**2 + 0*d**3 + j - 1/66*d**4 + 0*d. Factor r(k).
2*k*(k - 1)*(3*k + 2)/11
Let h be 80227/8687 + 27/(-3). Find f such that -14/17*f**2 + 4/17*f + 2/17*f**4 - h*f**5 + 12/17*f**3 + 0 = 0.
-2, 0, 1/2, 1
Let m be (6/(-40))/((-17)/(-13872)*28524 - 35). Find i, given that -m*i**2 - 1/5*i**3 - 39/5 - 11*i = 0.
-13, -3, -1
Suppose 18*y**2 - 2/7*y**3 + 8/7*y - 72 = 0. Calculate y.
-2, 2, 63
Let l(m) be the third derivative of m**5/90 - 169*m**4/36 + 56*m**3/3 - 2*m**2 + 335. Let l(d) = 0. Calculate d.
1, 168
Suppose -544*z = -16*z - 1520 - 592. Find g such that 1/2*g**z + 1/2*g**3 - 7/2*g**2 - 13/2*g - 3 = 0.
-2, -1, 3
Let r(d) be the second derivative of -19/6*d**3 + 1 + 30*d - 1/12*d**4 + 0*d**2. Factor r(u).
-u*(u + 19)
Let u = -30/1973 + -1134355/7892. Let z = u - -144. Factor -g - z*g**2 + 0.
-g*(g + 4)/4
Let p be (-8)/(-12) + (-8160)/36. Let s = 457/2 + p. Factor 1/2*g**2 - s*g + 0.
g*(g - 5)/2
Let k(i) be the third derivative of 2*i**7/21 + 11*i**6/15 - 817*i**5/15 - 55*i**4 - 599*i**2 - 1. Suppose k(o) = 0. Calculate o.
-15, -2/5, 0, 11
Let g(a) = 7*a**2 + 368*a + 33507. Let p(f) = 31*f**2 + 1473*f + 134037. Let h(m) = -9*g(m) + 2*p(m). What is j in h(j) = 0?
-183
Let a(i) = -i**5 - i**4 + 19*i**3 - 8*i**2 - 18*i - 9. Suppose 11*p = -35 - 9. Let t(h) = h**4 - h**3 + h + 1. Let v(q) = p*a(q) - 36*t(q). Factor v(b).
4*b*(b - 9)*(b - 1)*(b + 1)**2
Let q(o) be the second derivative of 0*o**2 + 140*o + 1/273*o**7 - 1/26*o**4 - 1/26*o**5 + 1/65*o**6 + 4/39*o**3 + 0. Solve q(v) = 0 for v.
-4, -1, 0, 1
Let j = 46153 + -323035/7. Factor 0 + 1/7*b**2 + j*b.
b*(b + 36)/7
Let 31752/11 - 32760/11*o + 2/11*o**4 + 814*o**2 - 260/11*o**3 = 0. What is o?
2, 63
Let d(p) = 3*p**3 + p**2 - 4*p - 1. Let z be d(2). Let f(b) be the second derivative of -z*b + 0 + 1/24*b**4 + 1/3*b**3 + b**2. Factor f(w).
(w + 2)**2/2
Suppose 2*n = 3*h - 52, -2*n - 38 = -2*h - 4*n. Suppose v + 5*s + 23 = 0, 5*s + h = 4*v + 3*s. Find r such that 0 + 2/5*r**3 - 4*r**v + 10*r = 0.
0, 5
Suppose 91 = 7*x + 56. Suppose 2*r**3 - 24*r**2 - x - 12*r - 6*r**3 - 11 - r - 23*r = 0. What is r?
-4, -1
Find u such that -1724*u - 390*u**2 - 37*u**3 - 1206 - 328*u**2 - 304*u - 2*u**4 - 111*u**3 - 250*u**2 = 0.
-67, -3, -1
Let s(u) be the third derivative of 1/780*u**6 - 7/156*u**4 + 3*u - 2*u**2 + 0*u**5 + 0 + 2/13*u**3. Factor s(v).
2*(v - 2)*(v - 1)*(v + 3)/13
What is a in -12*a - 310 + 237 - 3*a**2 + 361 = 0?
-12, 8
Let p(k) be the first derivative of 3*k**5/10 - 21*k**4/8 - 25*k**3/2 + 525*k**2/4 + 6434. Solve p(g) = 0.
-5, 0, 5, 7
Let m(v) be the third derivative of -v**7/168 + v**6/8 - v**5/3 - 7*v**3 - 2*v**2 - 12*v. Let q(c) be the first derivative of m(c). Factor q(f).
-5*f*(f - 8)*(f - 1)
Find d, given that -1/6*d**5 + 0 - 40/3*d**3 + 4*d**4 + 0*d**2 + 0*d = 0.
0, 4, 20
What is v in -16/3*v**2 + 0 + 16/3*v**4 + 8*v - 2/3*v**5 - 22/3*v**3 = 0?
-1, 0, 1, 2, 6
Factor -1018*q + 1156*q - 84 - 3*q**2 + 84.
-3*q*(q - 46)
Factor 4/9 - 8/9*q**3 - 8/9*q**2 + 4/9*q**5 + 4/9*q + 4/9*q**4.
4*(q - 1)**2*(q + 1)**3/9
Let b(s) = s**2 - 1. Let u be b(2). Let k(r) = -r**3 - 11*r**2 - 21*r - 105. Let a be k(-10). Factor 6*h**2 - 6*h**2 + 10*h**a + 4*h**u + 6*h**4 - 8*h**5.
2*h**3*(h + 1)*(h + 2)
Let g = -260039 - -1300203/5. Factor 2/5*j**2 - 7/5*j - 4/5 + g*j**3 + 2/5*j**4 - 1/5*j**5.
-(j - 4)*(j - 1)*(j + 1)**3/5
Suppose 6*q - 2*q = 8. Let x = -318/115 - -751/230. Suppose 0 + 3/4*o**4 + 1/4*o**5 + 1/4*o**3 - 3/4*o**q - x*o = 0. Calculate o.
-2, -1, 0, 1
Factor 4005*v + 22533 - 2688 - 431*v**2 + 586*v**2 - 5*v**3.
-5*(v - 49)*(v + 9)**2
Let k be (-1 + 14/10)*((-56)/(-8))/7. Let m(l) be the first derivative of -k*l + 1/10*l**2 + 1/15*l**3 - 5. Let m(c) = 0. Calculate c.
-2, 1
Let z(y) = -2*y**4 + y**3 - 2*y + 1. Let v(w) = 16*w**4 - 18*w**3 + 28*w - 6. Let n(b) = v(b) + 6*z(b). Solve n(l) = 0.
-1, 0, 2
Let d(v) = 13*v**4 - 11*v**3 - 2173*v**2 + 2171*v + 100. Let u(z) = -32*z**4 + 28*z**3 + 5432*z**2 - 5428*z - 240. Let r(s) = 12*d(s) + 5*u(s). Factor r(p).
-4*p*(p - 17)*(p - 1)*(p + 16)
Let f(i) be the third derivative of i**6/24 + 139*i**5/12 - 355*i**4/3 + 1430*i**3/3 + 1112*i**2. Find t such that f(t) = 0.
-143, 2
Let o be (2016/(-300))/((-72)/270). Factor -6/5*j**3 - o*j**2 - 144*j - 120.
-6*(j + 1)*(j + 10)**2/5
Let o(f) = f**4 + 157*f**3 - 1435*f**2 + 5248*f - 6716. Let w(k) = k**4 + 235*k**3 - 2153*k**2 + 7872*k - 10068. Let x(c) = 7*o(c) - 5*w(c). Factor x(j).
2*(j - 26)*(j - 4)**3
Let d = -624 - -621. Let p be -7 - 76/d - (3 - 6). Factor -4*q**3 - 1/3*q**4 - 16*q**2 - p*q + 0.
-q*(q + 4)**3/3
Suppose 28 = -3*h + 7. Let j(q) = -q**3 - 6*q**2 + 5*q - 9. Let u be j(h). Factor -u*k - 51 + 5*k**3 + 51 - 30*k**2 + 30*k**4.
5*k*(k - 1)*(k + 1)*(6*k + 1)
Factor 0 + 50/13*u**3 + 0*u + 2/13*u**4 - 232/13*u**2.
2*u**2*(u - 4)*(u + 29)/13
Suppose -5 = -4*n + 3*n. Suppose 4 = m + i, 0 = 5*m - 4*m + 2*i - n. Factor -j**3 - 5*j**2 + 2*j**3 - 5*j - 2*j**m + 2 + 9*j**2.
-(j - 2)*(j - 1)**2
Let g(b) be the third derivative of -7/24*b**4 + 0*b - 29*b**2 + 0 - 1/360*b**5 - 49/4*b**3. Factor g(c).
-(c + 21)**2/6
Let n = 12009/58 + -35563/174. Factor 19/3*x**2 + 1/3*x**4 - 4*x - n*x**3 + 0.
x*(x - 4)*(x - 3)*(x - 1)/3
Let o(k) = -20*k**2 - 5408*k + 623800. Let f(n) = 12*n**2 + 3608*n - 415867. Let p(s) = -8*f(s) - 5*o(s). Find v such that p(v) = 0.
228
Let f be ((-33)/440)/((-1)/(-12)) - -1. Let x(l) be the second derivative of 1/2*l**4 + 0 + 0*l**2 + 9/20*l**5 + 0*l**3 + l + f*l**6. Factor x(h).
3*h**2*(h + 1)*(h + 2)
Let r(w) be the third derivative of -3*w**6/10 + 431*w**5/40 - 963*w**4/8 - 81*w**3/4 - w**2 - 836*w. Factor r(g).
-3*(g - 9)**2*(24*g + 1)/2
Let a(s) be the first derivative of -s**6/15 - 54*s**5/25 + 92*s**4/5 + 9544*s**3/15 - 35904*s**2/5 + 61952*s/5 - 368. What is o in a(o) = 0?
-22, 1, 8
Let i(w) be the third derivative of -1/30*w**6 + 0*w + 1/315*w**7 + 2/15*w**5 + 0*w**3 + w**2 - 2/9*w**4 - 3. Factor i(z).
2*z*(z - 2)**3/3
Let c(i) be the first derivative of 1/3*i**2 + 2/9*i**3 + 0*i + 14. Factor c(r).
2*r*(r + 1)/3
Let r(m) be the first derivative of -m**4/4 - 25*m**3/3 - 53*m**