) = -3*r**3 - 418*r**2 + 427*r + 832. Let b(a) = 5*a**3 + 840*a**2 - 855*a - 1665. Let k(h) = 2*b(h) + 5*x(h). Factor k(m).
-5*(m - 2)*(m + 1)*(m + 83)
Let h be (14968/(-6622))/(-4) - (-144)/(-168). Let g = -3/473 - h. Suppose 0*b + 0 + 4/7*b**4 + g*b**3 + 2/7*b**5 + 0*b**2 = 0. Calculate b.
-1, 0
Suppose 3*g = 4*p + 1452, -8*p = 4*g - 3*p - 1967. Suppose -483*a + g*a = 520. Factor -a*h**3 + 64*h**4 - 1/4 - 45*h**2 - 47/8*h.
(h - 2)*(8*h + 1)**3/8
Let w(q) be the second derivative of 3*q**7/35 + 7*q**6/75 - 2*q**5/5 + 2*q**4/15 + 1857*q. Determine i, given that w(i) = 0.
-2, 0, 2/9, 1
Let c(m) be the second derivative of -5 + 6*m - 6/5*m**5 + m**6 + 0*m**2 + 0*m**3 + 1/2*m**7 + 0*m**4. Factor c(p).
3*p**3*(p + 2)*(7*p - 4)
Let m(l) be the second derivative of -7*l**5/110 + 68*l**4/33 - 295*l**3/33 + 102*l**2/11 - 1171*l. Find k such that m(k) = 0.
3/7, 2, 17
Let x(p) be the third derivative of -p**6/280 + p**5/4 - 179*p**4/56 + 145*p**3/14 + 6689*p**2. Let x(l) = 0. What is l?
1, 5, 29
Let s(d) be the second derivative of d**4/3 + 36*d**3 + 400*d**2 - 738*d. Factor s(t).
4*(t + 4)*(t + 50)
Suppose -2*m - 3 - 1 = 4*i, -2*i = -5*m + 14. Let j be (7 - (-175)/(-28))*m. Factor 0 - 1/2*x**2 + j*x.
-x*(x - 3)/2
Factor 144*m**2 + 19*m**4 + 0*m + 201/2*m**3 + 1/2*m**5 + 0.
m**2*(m + 3)**2*(m + 32)/2
Factor -7368/7*t + 4/7*t**2 + 3392964/7.
4*(t - 921)**2/7
Let p(b) be the first derivative of -b**4/12 - 4*b**3/3 - 8*b**2 + 9*b - 164. Let t(s) be the first derivative of p(s). Determine u, given that t(u) = 0.
-4
Let a = 14293/122490 - 1/48996. Let r(d) be the second derivative of 0 - 17*d + 1/30*d**6 - a*d**5 + 0*d**3 - 1/6*d**4 + 0*d**2. Factor r(l).
l**2*(l - 3)*(3*l + 2)/3
Let m(w) = -3*w**3 - w**2 - 420*w - 418. Let a be m(-1). Suppose 4/3*r**5 + 8/3*r**a - 4/3*r**3 + 0*r + 0 - 8/3*r**2 = 0. What is r?
-2, -1, 0, 1
Let i(m) be the third derivative of m**7/2100 - m**6/900 - m**5/75 + m**4/15 - 23*m**3/3 + 108*m**2. Let z(j) be the first derivative of i(j). Factor z(a).
2*(a - 2)*(a - 1)*(a + 2)/5
Let n(y) be the first derivative of 1/3*y**3 + 149 - 23*y**2 + 529*y. What is z in n(z) = 0?
23
Let d = -494129/26 + 19005. Let f(o) be the first derivative of 2/65*o**5 + d*o**4 + 0*o - 1/13*o**2 - 2/39*o**3 + 22. Solve f(k) = 0 for k.
-1, 0, 1
Let v be 1168/1460 - ((-9)/(-5) - 1). Solve 8/5*p**2 + 16/5*p - 2/5*p**4 + v - 4/5*p**3 = 0 for p.
-2, 0, 2
Let k = 22272 + -22227. Let q(v) be the first derivative of -k - 8/11*v**3 - 9/11*v**4 + 0*v - 24/55*v**5 - 3/11*v**2 - 1/11*v**6. Factor q(y).
-6*y*(y + 1)**4/11
Let z = -8992/23 - -327584/115. What is b in -3/5*b**3 + z + 144/5*b**2 - 2304/5*b = 0?
16
Let t(n) be the third derivative of -6*n + 2*n**2 + 0 - 1/6*n**5 - 1/3*n**3 - 1/3*n**4 - 1/30*n**6. Factor t(x).
-2*(x + 1)**2*(2*x + 1)
Let -184/3*q**3 + 400*q**2 + 1664/3 - 2464/3*q - 4/3*q**4 = 0. What is q?
-52, 2
Let l(g) be the first derivative of -g**4/22 - 16*g**3/33 + g**2 + 36*g/11 + 1435. Factor l(m).
-2*(m - 2)*(m + 1)*(m + 9)/11
Let -281*p - 229 - 130*p + 201*p**2 + 2*p**3 + 436 + p**3 + 0*p**3 = 0. Calculate p.
-69, 1
Suppose -5*k - 20 = 0, 4*o + 5*k - 8*k = 88. Let j(d) be the second derivative of 2/11*d**3 + 0 + o*d + 0*d**2 + 1/66*d**4. Solve j(i) = 0.
-6, 0
Let k(h) be the second derivative of 1/15*h**6 - 1/42*h**7 + 1/4*h**5 - 86*h - 1/2*h**4 + 0*h**3 + 0*h**2 + 0. Factor k(n).
-n**2*(n - 3)*(n - 1)*(n + 2)
Let x = 127339/2 - 63668. Find f such that -18 + 3/2*f**2 + x*f = 0.
-4, 3
Let p = -26/569 - -49844/19915. Let u = p - -26/35. Let -4/5*c**2 + 4 + u*c = 0. What is c?
-1, 5
Let -7*n + 21/8*n**2 - 1/8*n**3 + 9/2 = 0. What is n?
1, 2, 18
Let d(g) be the second derivative of 0*g**2 + 67*g + 1/4*g**5 - 5/12*g**4 + 0*g**3 + 1/6*g**6 - 5/42*g**7 + 0. Suppose d(o) = 0. Calculate o.
-1, 0, 1
Let v(h) = 49*h - 241. Suppose 15 = 2*n - 5*o, 3*o = 3*n + 2*o - 16. Let c be v(n). Suppose -1/4*r**c - 3/2*r**3 - 3*r - 1 - 13/4*r**2 = 0. Calculate r.
-2, -1
Let c(f) be the second derivative of 0*f**4 + 1/900*f**6 + 0*f**3 + 1/450*f**5 - 49*f + 0 + 47/2*f**2. Let w(o) be the first derivative of c(o). Factor w(x).
2*x**2*(x + 1)/15
Let p(a) be the third derivative of 218*a**2 + 1/120*a**5 + 0*a + 1/4*a**4 - 13/12*a**3 + 0. Factor p(k).
(k - 1)*(k + 13)/2
Suppose 5*p - 4408 = 4122. Solve 1971*n**2 - 18*n + p*n**2 - 1 - 118*n - 3299*n**2 + 9 = 0 for n.
2/27, 2/7
Let g(a) = 7*a**2 - 3*a - 1. Let t(u) = 36*u**2 - 7037*u + 12327116. Let x(o) = 5*g(o) - t(o). Solve x(z) = 0.
3511
Let s(t) be the first derivative of -t**4/7 + 32*t**3 - 1962*t**2/7 + 5832*t/7 + 6832. Find q such that s(q) = 0.
3, 162
Factor 0 - 64980/7*l**3 + 0*l + 8100/7*l**2 + 1441/7*l**4 - 8/7*l**5.
-l**2*(l - 90)**2*(8*l - 1)/7
Let f = 1737014/13 + -133612. Factor -8/13*z**4 - 80/13*z**2 + 0 - f*z**3 + 96/13*z.
-2*z*(z + 4)**2*(4*z - 3)/13
Let t be (34/3)/(-13 - (13 - 28)) - -1. Let f(v) be the second derivative of -14*v + 100*v**2 + 0 - t*v**3 + 1/6*v**4. Let f(g) = 0. What is g?
10
Let b(s) = 25479*s - 127389. Let j be b(5). Solve 8 + 4*l**3 - 8/3*l - 2/3*l**4 - j*l**2 = 0 for l.
-1, 2, 3
Let o = 3804 - 34234/9. Let p(g) be the first derivative of 14/27*g**3 + 1/27*g**6 + 1/2*g**4 + 0*g + o*g**2 + 2/9*g**5 + 2. Factor p(a).
2*a*(a + 1)**3*(a + 2)/9
Let i(k) be the second derivative of 1/9*k**4 + 155*k - 1/9*k**3 - 1/90*k**5 - 10/9*k**2 - 1. Factor i(h).
-2*(h - 5)*(h - 2)*(h + 1)/9
Let f be 24/(-28)*(-5)/(-50). Let d = 1/5 - f. Factor d*b + 1/7*b**2 - 3/7.
(b - 1)*(b + 3)/7
Let o(s) be the second derivative of -s**7/2940 + s**6/252 - s**5/105 - 23*s**3/3 + 2*s - 6. Let v(j) be the second derivative of o(j). What is f in v(f) = 0?
0, 1, 4
Let k(x) be the second derivative of -x**6/2520 - x**5/105 - 5*x**4/56 - x**3/3 + 8*x**2 + 3*x - 19. Let m(i) be the second derivative of k(i). Factor m(t).
-(t + 3)*(t + 5)/7
Let n be ((-2)/34)/(15/(-1845)) - -1. Let q = 454/51 - n. Factor -2/3*c**4 + 2/3*c**3 + q*c**2 + 0 + 0*c - 2/3*c**5.
-2*c**2*(c - 1)*(c + 1)**2/3
Let a(q) = -7*q**2 + 96*q - 6. Let n(z) = 2*z**2 + 2*z - 2. Let h(u) = -5*a(u) + 35*n(u). Factor h(f).
5*(f - 4)*(21*f + 2)
Let n = 299159 - 299153. Factor 27 - 1/2*r**3 + n*r**2 - 45/2*r.
-(r - 6)*(r - 3)**2/2
Let o(z) = -z**2 - 7*z - 3. Let g(v) = 3*v + 6. Let b be g(-4). Let q be o(b). Factor -4*h**2 + 36 - 2*h**2 - 30 - 3*h + 3*h**q.
3*(h - 2)*(h - 1)*(h + 1)
Let v(r) be the third derivative of r**7/5040 + r**6/360 + r**5/60 - 97*r**4/12 + 12*r**2 + 4. Let h(k) be the second derivative of v(k). Factor h(t).
(t + 2)**2/2
Let x = -447/17 + 1358/51. Let n be 3/6 + 9/6. Factor 1/3*u + x*u**n + 0.
u*(u + 1)/3
Suppose -139*d - 13*d - 74 = -378. Let i(w) be the first derivative of -8/3*w - 14/9*w**3 - 16/3*w**d + 14. What is l in i(l) = 0?
-2, -2/7
Let q(s) be the first derivative of s**6/1260 - 2*s**5/105 + s**4/7 + s**3 - 17. Let h(n) be the third derivative of q(n). Factor h(t).
2*(t - 6)*(t - 2)/7
Solve -53*p**2 + 63*p**2 + 65*p - 858 - 40*p**4 - 5*p**5 + 888 - 60*p**3 = 0.
-6, -1, 1
Let t(v) = 14*v**3 - 28*v - 91*v + 78*v**2 + 8*v + 35. Let c(z) = z**3 + z - 1. Let s(p) = 5*c(p) - t(p). Factor s(q).
-(q + 10)*(3*q - 2)**2
Solve -4 - 115 + 401 + 38 - 26645*q**5 + 46480*q - 1270205*q**3 + 1670300*q**2 + 319010*q**4 = 0 for q.
-1/73, 4
Let x(r) be the third derivative of -r**7/42 - 11*r**6/8 - 18*r**5 + 405*r**4/2 + 4*r**2 + 171*r. Factor x(s).
-5*s*(s - 3)*(s + 18)**2
Suppose 0 = -5*m + 54 - 4. Factor k**2 + m + 6 - 22 + 3*k + 6.
k*(k + 3)
Let r(y) be the third derivative of 0*y + 61*y**2 + 0 - 23/240*y**5 + 5/6*y**3 - 1/672*y**8 - 1/280*y**7 + 1/15*y**6 - 3/8*y**4. Suppose r(g) = 0. What is g?
-5, -1, 1/2, 2
Let k be 24/45*-3*(-10)/4. Let 37*z + 59*z + 568 + k*z**2 + 8 = 0. What is z?
-12
Factor 70*t - 2/5*t**3 - 1568/5 - 4/5*t**2.
-2*(t - 7)**2*(t + 16)/5
Let m(l) = 45*l**2 - 113607*l + 134691801. Let q(i) = -17*i**2 + 42602*i - 50509425. Let a(z) = -8*m(z) - 21*q(z). Solve a(v) = 0 for v.
2369
Let q(z) be the first derivative of -28/3*z**3 + 17/4*z**4 - 1/12*z**6 - 3/5*z**5 + 39/4*z**2 + 193 - 5*z. Find m such that q(m) = 0.
-10, 1
Suppose 58/5*u**2 + 2/5*u**3 - 264/5*u + 0 = 0. Calculate u.
-33, 0, 4
Let r be (-2)/(453/(-1170) - (-150)/975). Factor r*v + 26/7*v**2 + 0 + 2/7*v**3.
2*v*(v + 3)*(v + 10)/7
Suppose -11 = -4*l - g, -4*g + 0*g 