+ 12856765*c - 837*c**4 + 22180*c**5 - 1223*c**4 - 13138300*c**2.
5*c*(c - 137)**3*(c - 1)
Suppose -99*r = 657632 - 658226. Suppose 1/2*o**5 + 8*o + 0 - r*o**3 - 2*o**2 - 1/2*o**4 = 0. Calculate o.
-2, 0, 1, 4
Let k(d) be the third derivative of d**8/336 - d**7/70 - 3*d**2 + 19*d. Find x such that k(x) = 0.
0, 3
Let y(v) be the second derivative of v**6/2880 - 55*v**3/6 - 63*v + 2. Let l(x) be the second derivative of y(x). Suppose l(p) = 0. Calculate p.
0
Let k(m) be the first derivative of m**6/180 + 14*m**5/45 + 221*m**4/36 + 338*m**3/9 - 183*m**2/2 - 106. Let u(h) be the second derivative of k(h). Factor u(s).
2*(s + 2)*(s + 13)**2/3
Let l(p) be the first derivative of p**4/38 - 22*p**3/19 + 363*p**2/19 - 2662*p/19 - 588. Solve l(y) = 0 for y.
11
Let v be (6 - 633)/3 - 11. Let d be ((-6)/(-7))/(v/(-770)). Let -11/2*o + 3*o**2 - 1/2*o**d + 3 = 0. Calculate o.
1, 2, 3
Let a(x) be the second derivative of -16*x**5/35 - 104*x**4/7 - 774*x**3/7 - 2430*x**2/7 + 3509*x. Factor a(z).
-4*(z + 15)*(4*z + 9)**2/7
Let b(y) = 168*y**4 + 841*y**3 + 38*y**2 - 3*y - 9. Let k(o) = -2015*o**4 - 10090*o**3 - 460*o**2 + 35*o + 105. Let q(c) = -35*b(c) - 3*k(c). Factor q(v).
5*v**2*(v + 5)*(33*v + 2)
Let g(l) = l**3 + 2*l**3 - 4*l**3 - 40 + 8*l**2 - l**2 + 7*l. Let b be g(7). Factor -2*a**2 - 2*a - b*a + 13*a.
-2*a*(a - 1)
Let j(h) be the third derivative of h**8/10080 + h**7/360 - h**6/20 + 5*h**5/6 - 2*h**2 + 16. Let w(x) be the third derivative of j(x). Factor w(a).
2*(a - 2)*(a + 9)
Let h be (-12)/30*(-1 - 4). Factor -9 + 6*f + 77*f**2 - 5*f - 80*f**h - 13*f.
-3*(f + 1)*(f + 3)
Let m(z) be the first derivative of -1/4*z**4 - 17*z**3 - 867/2*z**2 - 4913*z + 9. Solve m(a) = 0 for a.
-17
Suppose -405/8*m + 3/8*m**2 + 0 = 0. What is m?
0, 135
Let u = -2132 + 2132. Let h(v) be the second derivative of 0*v**2 - 1/6*v**4 + 1/15*v**6 - 13*v + 1/6*v**3 - 1/42*v**7 + u + 0*v**5. Factor h(p).
-p*(p - 1)**3*(p + 1)
Factor -4*p**3 + 1129 + 60*p**2 + 188*p**2 - 201 - 944*p.
-4*(p - 58)*(p - 2)**2
Let b(k) be the first derivative of 0*k + 0*k**2 + 0*k**3 + 5/3*k**6 - 25/2*k**4 - 54 - 19*k**5. Factor b(n).
5*n**3*(n - 10)*(2*n + 1)
Let v(h) be the second derivative of h**6/15 + 3*h**5/2 - 37*h**4/6 - 17*h**3 - 6*h - 56. Suppose v(x) = 0. Calculate x.
-17, -1, 0, 3
Let y(v) be the second derivative of -2*v**5/35 - v**4/12 + 5*v**3/21 - 60*v**2 - 127*v. Let k(c) be the first derivative of y(c). Let k(i) = 0. Calculate i.
-1, 5/12
Let d(b) = -b**2 + 4*b + 2. Let z be d(4). Let o be ((-5)/5)/((-1)/8). Solve -13*t + 35*t**2 - o*t + 30 - 65*t**2 + 33*t**z = 0.
2, 5
Factor 1581*m**3 - 3160*m**3 + 36*m + 21*m**2 + 1582*m**3.
3*m*(m + 3)*(m + 4)
Let u(o) be the first derivative of 2/7*o**4 - 12 + 4/21*o**3 - 3/7*o**2 + 0*o**5 - 4/7*o - 1/21*o**6. Determine v, given that u(v) = 0.
-1, 1, 2
Let n(x) = -4*x**3 + 178*x**2 + 1766*x + 3837. Let r(h) = 25*h**3 - 1245*h**2 - 12360*h - 26860. Let t(k) = -20*n(k) - 3*r(k). Factor t(z).
5*(z + 3)*(z + 16)**2
Let x(k) be the third derivative of -2*k**7/105 - 109*k**6/30 - 259*k**5 - 42439*k**4/6 + 202612*k**3/3 + 13*k**2 + 34*k. Factor x(a).
-4*(a - 2)*(a + 37)**3
Let x(z) = 2*z**3 + 16*z**2 - 99*z + 81. Let m(b) = -3*b**3 - 15*b**2 + 99*b - 81. Suppose 3*u = -3*u + 18. Let d(t) = u*m(t) + 4*x(t). Factor d(y).
-(y - 9)**2*(y - 1)
Suppose -435*m = 935 - 1370. Factor -m + 2*u - 3/4*u**3 - 1/4*u**2.
-(u - 1)*(u + 2)*(3*u - 2)/4
Let r(p) be the third derivative of -106*p**2 + 0*p + 0 - 1/210*p**5 + 8/21*p**3 + 1/42*p**4. Factor r(t).
-2*(t - 4)*(t + 2)/7
Let s(a) be the second derivative of -84*a + 4/3*a**3 + 8*a**2 + 1/15*a**6 - 1/10*a**5 - a**4 + 2. Suppose s(r) = 0. Calculate r.
-2, -1, 2
Let h(m) be the third derivative of -1/1050*m**7 + 0 - 2*m + 0*m**3 - 2*m**2 + 0*m**6 + 1/300*m**5 + 0*m**4. Factor h(d).
-d**2*(d - 1)*(d + 1)/5
Let z(v) be the first derivative of 1/2*v**4 - 48 + 11*v**2 - 10*v - 14/3*v**3. Factor z(l).
2*(l - 5)*(l - 1)**2
Let i(v) be the second derivative of v**5/160 - v**4/16 - v**3/12 + 3*v**2/2 + 2485*v. Find l such that i(l) = 0.
-2, 2, 6
Factor 162*v - 165*v**2 - 18*v**4 - 60 + 3/2*v**5 + 159/2*v**3.
3*(v - 5)*(v - 2)**3*(v - 1)/2
Let n = 149539/9 + -49844/3. Factor 5/9*i**2 - 13/9*i + n + 1/9*i**3.
(i - 1)**2*(i + 7)/9
Let c(a) be the first derivative of 29*a**2/2 - 261*a - 81. Let l be c(9). Find n, given that 18/5*n**3 + 0 + l*n - 12/5*n**2 = 0.
0, 2/3
Let b be (-13)/(260/945)*(-50)/6. Let i = -393 + b. Solve 0 + 3/2*t - 3/4*t**3 + i*t**2 = 0 for t.
-1, 0, 2
Let c(o) be the second derivative of o**8/1120 - o**7/840 - o**6/30 - o**5/8 - 151*o**4/12 - 181*o - 1. Let j(t) be the third derivative of c(t). Factor j(a).
3*(a + 1)**2*(2*a - 5)
Let a(q) be the third derivative of 0*q - 7/390*q**6 + 59*q**2 + 1/1365*q**7 + 73/390*q**5 + 48/13*q**3 + 0 - 14/13*q**4. Factor a(t).
2*(t - 4)**2*(t - 3)**2/13
Suppose 3962*p - 3964*p + 8 = 0, 8 = -3*w + 2*p. Let 20/3*f + w - 15*f**2 - 5/3*f**4 + 10*f**3 = 0. Calculate f.
0, 1, 4
Let x(c) be the second derivative of -c**6/60 - 2*c**5/3 - 4*c**4 + 192*c**3 + 189*c**2/2 - 85*c. Let j(b) be the first derivative of x(b). Factor j(y).
-2*(y - 4)*(y + 12)**2
Let g(u) = u**4 - u**2 + 2*u. Let z(f) = 9*f**4 - 80*f**3 - 281*f**2 - 6*f + 368. Let y(v) = -5*g(v) + z(v). Find c such that y(c) = 0.
-2, 1, 23
Let q be 64/(-768) - (-4862)/24. Let c(t) be the second derivative of 0 + 5*t - 15*t**3 - q*t**2 - 5/12*t**4. Factor c(j).
-5*(j + 9)**2
Let l(a) be the first derivative of -66*a**4/7 + 122*a**3/21 + 18*a**2/7 - 12204. Factor l(t).
-2*t*(3*t - 2)*(44*t + 9)/7
Let x(a) be the first derivative of 0*a + 0*a**2 + 8/3*a**3 - 1 - 1/12*a**5 - 5/8*a**4 + 1/72*a**6. Let m(s) be the third derivative of x(s). Factor m(i).
5*(i - 3)*(i + 1)
Let n be 0/(-1) + (-2)/(-16). Let u be (3/45)/((-52)/(-12090))*(-124)/(-961). Determine o so that 0 - n*o**u + 3/8*o**4 - 1/4*o + 1/2*o**3 = 0.
-1, 0, 2/3
Find p, given that -98*p - p**4 - 2*p**4 + 5*p**3 - 6*p**4 - 24*p**2 + 10*p**4 - 57 + 13*p**3 = 0.
-19, -1, 3
Let d(s) be the first derivative of -s**6/15 - 92*s**5/5 - 1732*s**4 - 53664*s**3 + 365040*s**2 - 3796416*s/5 + 1231. Suppose d(g) = 0. Calculate g.
-78, 2
Let u(r) be the first derivative of -17 - 52/3*r**4 - 338/15*r**5 + 0*r**2 + 0*r - 32/9*r**3. Factor u(k).
-2*k**2*(13*k + 4)**2/3
Let w(k) = -k**2 - 36*k + 17. Let o be w(-7). Let j be ((o/(-297))/5)/((-2)/15). Solve -j*t + 8/9 + 2/9*t**2 = 0.
1, 4
Let l(m) be the second derivative of 0*m**2 + 0*m**3 - 75 + 3*m**4 + 1/15*m**5 - 2*m. Determine n so that l(n) = 0.
-27, 0
Let w(s) = 9*s**2 - 23*s - 124. Let x(k) = 38*k**2 - 91*k - 498. Let g(t) = -9*w(t) + 2*x(t). Let g(v) = 0. What is v?
-3, 8
Let q(t) be the second derivative of -t**6/20 + 111*t**5/20 + 24*t + 12. Factor q(w).
-3*w**3*(w - 74)/2
Find d such that 4333*d - 4300*d - d**3 - 5*d**2 + 27 + 5*d**2 + 5*d**2 = 0.
-3, -1, 9
Find v such that 17*v + 10*v**2 + 76 + 4*v - 95*v - 12*v**2 = 0.
-38, 1
Let u be (3*25/(-15))/(3/(-45)). Let y be (1 - (1 + 1))/((-375)/u). What is v in 0 + 1/10*v**3 - 3/10*v**2 + y*v = 0?
0, 1, 2
Let s(b) = 6*b**2 - 559*b + 13254. Let g(r) = 9*r**2 - 838*r + 19881. Suppose -11*k = 2*k - 104. Let t(a) = k*s(a) - 5*g(a). Factor t(n).
3*(n - 47)**2
Let u(d) = -33*d**2 + 23*d + 43. Let f(m) = 13*m**2 - 12*m - 22. Let l(r) = -5*f(r) - 2*u(r). Suppose l(i) = 0. What is i?
-12, -2
Let m(x) = -513*x**3 - 1650*x**2 - 576*x + 1344. Let d(n) = -32*n**3 - 103*n**2 - 36*n + 84. Let v(u) = -33*d(u) + 2*m(u). Factor v(b).
3*(b + 2)**2*(10*b - 7)
Let c(p) be the third derivative of p**7/28 + 151*p**6/160 - 147*p**5/80 - 23*p**4/16 + 4*p**3 - 168*p**2. Determine w so that c(w) = 0.
-16, -1/2, 2/5, 1
Let t(f) = 15*f**3 - 3*f**2. Let m(v) = 62*v**3 + 362*v**2 + 1808*v - 2184. Let w(a) = -m(a) + 4*t(a). Factor w(u).
-2*(u - 1)*(u + 6)*(u + 182)
Let c(h) = h**4 - h**2 + 11*h + 2. Let g(n) = -2*n**4 + 94*n**3 - 92*n**2 - 33*n - 6. Let m(k) = -3*c(k) - g(k). What is y in m(y) = 0?
-95, 0, 1
Let h(t) = 2*t**2 + 10*t + 8. Let u(m) = -3*m**2 - 10*m - 7. Let s be (0 - -1)*(-140)/28. Let d(k) = s*h(k) - 4*u(k). What is g in d(g) = 0?
-1, 6
Let j(z) be the first derivative of z**4/8 - z**3 + 5*z**2/4 + 6*z - 1083. Factor j(i).
(i - 4)*(i - 3)*(i + 1)/2
Let h(n) be the first derivative of n**4/16 