e the first derivative of h**8/420 - h**7/70 + h**6/30 - h**5/30 + 9*h**3 + 2*h - 43. Let p(j) be the third derivative of x(j). Factor p(t).
4*t*(t - 1)**3
Suppose -416*g = -355*g - 292 + 48. Solve 218/7*m**2 + 360/7*m**3 + 162/7*m**g + 4/7*m - 16/7 = 0.
-1, -4/9, 2/9
Let w(u) be the second derivative of 3*u**5/160 + 3*u**4/4 + 45*u**3/4 + 75*u**2 + 381*u - 9. Factor w(s).
3*(s + 4)*(s + 10)**2/8
Let q = 365 + -201. Factor -q - 12*k**2 + 6*k + 2*k**3 + 366 - 182.
2*(k - 5)*(k - 2)*(k + 1)
Suppose 1232*m = 1960 + 2968. Factor 1/4*h**3 + 3/4*h**2 - 1/4*h - 1/2 - 1/4*h**m.
-(h - 2)*(h - 1)*(h + 1)**2/4
Let v(a) be the second derivative of 3*a**5/70 - 165*a**4/7 - 384*a**3 - 16224*a**2/7 + 4165*a. Solve v(i) = 0 for i.
-4, 338
Find p, given that 181/5*p + 3/5*p**3 - 156/5 - 52/5*p**2 = 0.
4/3, 3, 13
Let m(f) be the third derivative of -f**7/105 - 29*f**6/20 - 57*f**5/10 - 85*f**4/12 + 810*f**2 - 1. Factor m(u).
-2*u*(u + 1)**2*(u + 85)
Let q(n) be the second derivative of n**5/2 + 10195*n**4/12 + 432650*n**3 - 650250*n**2 + 1775*n. Factor q(l).
5*(l + 510)**2*(2*l - 1)
Let c = -19651 - -19654. Let t(k) be the third derivative of -1/60*k**6 + 37*k**2 + 25/3*k**c - 35/12*k**4 + 11/30*k**5 + 0 + 0*k. Let t(s) = 0. Calculate s.
1, 5
Let o(s) be the first derivative of s**5/240 + s**4/48 - 3*s**2/2 + 2*s + 64. Let m(u) be the second derivative of o(u). Factor m(n).
n*(n + 2)/4
Let z(y) = -34*y**2 + 153*y + 435. Let n(c) = -3*c**2 - c - 6. Let w(t) = -22*n(t) + 2*z(t). Solve w(q) = 0.
-3, 167
Let -19360*q - 19200 - 481/3*q**2 - 1/3*q**3 = 0. What is q?
-240, -1
Let m(j) = -55*j**2 + 3790*j + 9765. Let i(h) = 7*h**2 - 489*h - 1260. Let z(r) = -70*i(r) - 9*m(r). Determine d, given that z(d) = 0.
-21, -3
Let z be (-6)/8*(-64)/24. Suppose -5*d = 5*v - 25, z*d = -3*v + 9 + 4. Solve -118 + 54 + v*n**3 - 6*n - 3*n**2 + 64 = 0 for n.
-1, 0, 2
Factor -25*c**2 + 69*c**2 - 1312 - 660*c - 24*c**2 - 22*c**2.
-2*(c + 2)*(c + 328)
Let h be (2/(-7) - (1591518/2072)/(-201))/((-6)/(-32)). Let 0 - 160/7*m**2 - 64/7*m - h*m**3 - 4/7*m**5 - 40/7*m**4 = 0. What is m?
-4, -1, 0
Let c = -29 - -32. Let g(l) = -l**3 + 4*l**2 - 3*l. Let w be g(2). Find r, given that 479*r**2 + w*r**c + r**3 - 473*r**2 = 0.
-2, 0
Let c = 22664 - 45327/2. Let w(o) be the first derivative of c*o**4 + 32 + 0*o + 14/3*o**3 + 0*o**2. Factor w(p).
2*p**2*(p + 7)
Let g = -84 - -86. Suppose -g*k**3 - 20*k + 10*k**2 - 92*k + 30*k**2 - 88*k = 0. Calculate k.
0, 10
Let l be 9/12*(1 - -3). Factor -24*x**2 + 17*x**2 + 232*x**3 - 138*x**2 - 35*x - 252*x**l.
-5*x*(x + 7)*(4*x + 1)
Suppose 18*i - 3*i = 30. Factor -64*h**3 + 43*h**3 - 82*h**i - 26*h**2 - 15*h.
-3*h*(h + 5)*(7*h + 1)
Let t(s) be the third derivative of -45/4*s**4 - 33/4*s**5 + 0*s - 19/8*s**6 + 17*s**2 - 5/336*s**8 + 0*s**3 - 1 - 13/42*s**7. Determine m so that t(m) = 0.
-6, -3, -1, 0
Let k = 313/28 - 43/4. Let o(v) be the second derivative of 4*v - 3/140*v**5 + k*v**4 - 2/35*v**6 + 3/7*v**2 + 0 + 11/14*v**3. Solve o(l) = 0.
-1, -1/4, 2
Let x(i) be the third derivative of i**5/15 - 433*i**4/6 - 3289*i**2. Factor x(p).
4*p*(p - 433)
Let b = 63050/147 + -19710/49. Find c such that -2560*c**3 + b*c**4 + 122880*c**2 - 2949120*c + 28311552 - 1/9*c**5 = 0.
48
Let b(z) be the third derivative of -z**6/6 - 11*z**5/12 - 35*z**4/24 + 50*z**2 + 3. Factor b(u).
-5*u*(u + 1)*(4*u + 7)
Let x(f) = 11*f**3 - 8*f**2 - f. Let i be x(1). Factor -32 - m**2 - 3*m**i - 38*m + 2*m - 24.
-4*(m + 2)*(m + 7)
Let b be (11 + 1053/(-104))/((-28)/8*-1). Let k(a) be the first derivative of -31 + 0*a + 3*a**2 + b*a**4 - 7/3*a**3. Factor k(l).
l*(l - 6)*(l - 1)
Suppose 4*s - 5*j = -13, s - 4 = -3*j - 3. Let o = s - -34. Solve -4*g - o*g**2 - 36*g**3 - 4*g + 4*g**4 + 18*g**5 - 4*g**2 - 6*g**5 = 0.
-1, -1/3, 0, 2
Let t(h) = h**2 + 2*h - 5. Let q be ((-3)/(-6))/((6/20)/(-3)). Let y be t(q). Factor 2*o**3 - 13*o**4 - y*o**4 + 11*o**4.
-2*o**3*(6*o - 1)
Let o(n) be the third derivative of -n**7/945 + n**6/54 - n**5/10 + n**4/54 + 40*n**3/27 + 2223*n**2. Suppose o(u) = 0. Calculate u.
-1, 2, 4, 5
Suppose -3*f + 3530 = -2*o, f + o - 1458 + 288 = 0. Let p = f - 1172. Factor -2/11*q**p - 10/11 + 12/11*q.
-2*(q - 5)*(q - 1)/11
Suppose -3*w - 5*i + 41 = 0, 6*w - 8*i + 58 = 7*w. Let q(f) be the first derivative of 0*f + 17 + 0*f**w - 8/3*f**3 - 1/2*f**4. Suppose q(c) = 0. Calculate c.
-4, 0
Let m be ((-70)/(-45))/(245/(-210))*27/(-48). Factor -45/4*s**2 + 57/2*s - 18 + m*s**3.
3*(s - 12)*(s - 2)*(s - 1)/4
Solve 52*x**3 + 31*x**3 + x**4 + 49*x**3 - 17*x**2 - 116*x**3 = 0 for x.
-17, 0, 1
Let r(z) be the third derivative of -z**5/270 - 133*z**4/108 + 10*z**3 - 1522*z**2. Find a such that r(a) = 0.
-135, 2
Let g be ((-1275)/238)/(330/(-25025)). Determine m so that 44*m - 190*m**2 - 4 + 400*m**3 + 625/4*m**5 - g*m**4 = 0.
2/5, 1
Let o = 569 + -575. Let i(u) = -10*u**2 - 8*u + 6. Let h(d) = d**2 - 1. Let b(g) = 1. Let r(k) = -2*b(k) - h(k). Let w(x) = o*r(x) + i(x). Solve w(j) = 0 for j.
-3, 1
Let n(v) = -10*v**3 + 2453*v**2 - 660955*v + 59707533. Let g(w) = -3*w**3 + 817*w**2 - 220319*w + 19902511. Let c(r) = 14*g(r) - 4*n(r). Factor c(x).
-2*(x - 271)**3
Let b(v) be the third derivative of v**5/15 - 14*v**4/3 + 374*v**3/3 - 2*v**2 + 181. Determine a so that b(a) = 0.
11, 17
Let u be 18/62*(-8848 + 9127). Determine x, given that 63/5*x**3 - 3/5*x**4 - u*x**2 + 0 + 729/5*x = 0.
0, 3, 9
Let l(s) be the second derivative of s**5/25 + s**4/5 - 8*s**3 + 40*s**2 + 1582*s. Factor l(t).
4*(t - 5)*(t - 2)*(t + 10)/5
Let s be (-3)/(-38)*60344/2382. Solve 10/3*t**3 - 8/3*t + 0*t**4 + 0 - 2/3*t**5 + 0*t**s = 0.
-2, -1, 0, 1, 2
Factor 0 + 44/9*t + 2*t**2 - 2/9*t**3.
-2*t*(t - 11)*(t + 2)/9
Factor -2/9*j**3 + 0*j - 226/3*j**2 + 0.
-2*j**2*(j + 339)/9
Let i(x) be the first derivative of -x**3/24 - 7*x**2/2 - 7019. Suppose i(p) = 0. Calculate p.
-56, 0
Factor u**4 + 1/4*u**5 - 19/4*u**3 - 6*u + 0 - 23/2*u**2.
u*(u - 4)*(u + 1)**2*(u + 6)/4
Let o = 155 - 150. Determine p, given that -10*p + 22*p**3 - 12 + 12 + o*p**2 - 17*p**3 = 0.
-2, 0, 1
Find h such that -60*h**4 + 79668896*h**5 + 42*h**4 - 72*h**4 + 205*h**3 - 200*h - 79668901*h**5 + 90*h**2 = 0.
-20, -1, 0, 1, 2
Let m(w) = -w**3 + 5*w + 9. Let t be m(-2). Suppose 21 = t*q - 7. Let q*o**2 - 8*o**2 + 2*o**2 + 2*o = 0. Calculate o.
0, 1
Let c(v) be the second derivative of 45*v - 3*v**3 - 1/4*v**4 - 15/2*v**2 - 2. Determine a so that c(a) = 0.
-5, -1
Determine f so that -20*f**4 - 205881*f**3 - 40*f**2 + 205841*f**3 - 4*f**5 - 20*f - 4 + 0 = 0.
-1
Let i be -4 - 4/3*(2187/(-54) - -9). Let a(n) be the third derivative of 0 + 1/390*n**5 - i*n**2 - 1/78*n**4 + 0*n + 1/39*n**3. Suppose a(b) = 0. Calculate b.
1
Let u(k) = -21*k - 127. Let t be u(-6). Let g be (-2 + (2 - t))*4. Solve 1/2*d**3 - 1/2*d + 1/2*d**g - 3/2*d**2 + 1 = 0 for d.
-2, -1, 1
Let p be (-2)/(-10) - (-264)/1980. Let b(i) be the first derivative of 0*i + 3/2*i**2 + 10 - p*i**3. Factor b(n).
-n*(n - 3)
Let m(k) be the first derivative of -3*k**5/5 + 117*k**4/4 - 36*k**3 - 114*k**2 - 687. Factor m(p).
-3*p*(p - 38)*(p - 2)*(p + 1)
Suppose 38*d + k = 43*d - 1531, -3*k + 933 = 3*d. Factor 12 - d*w**2 + 2*w**4 + 38 + 120*w + 24*w**3 + 399*w**2.
2*(w + 1)**2*(w + 5)**2
Factor 0 - 17*a**3 - 1/2*a**4 + 0*a - 253/2*a**2.
-a**2*(a + 11)*(a + 23)/2
Suppose 25*b + 4*b = 87. Let g = 0 + 4. Solve -2*o**3 - 16*o**g + b*o**4 + o**4 + 3*o**4 = 0 for o.
-2/9, 0
Suppose 3*p = 2*y + 26, 0 = 4*p + 49*y - 48*y - 9. Solve 3/2*q**3 + 1/2*q + 0 + 3/2*q**2 + 1/2*q**p = 0 for q.
-1, 0
Let z be 62/3*192/(-110). Let j = 586/11 + z. Factor -24/5 - j*p - 7/5*p**2.
-(p + 12)*(7*p + 2)/5
Let w(a) be the third derivative of -a**6/720 + a**5/80 - a**4/24 + 4*a**3 - 286*a**2. Let t(m) be the first derivative of w(m). Suppose t(x) = 0. Calculate x.
1, 2
Find r such that -6*r**4 + 21*r**4 + 111*r + 21*r - 72 - 20888*r**5 - 117*r**3 + 78*r**2 + 20894*r**5 = 0.
-6, -1, 1/2, 2
Let t be -3*(11/(-3) + 3). Let k be ((-45)/72)/((1470/56)/(-21)). Factor 3/4*n**t + 9/4*n - n**3 + k.
-(n - 2)*(n + 1)*(4*n + 1)/4
Factor -14278*g - 43923/2 + 118/3*g**3 - 6599/3*g**2 - 1/6*g**4.
-(g - 121)**2*(g + 3)**2/6
Let i(x) = 6*x**3 - 1543*x**2 - 199682*x - 8586761. Let w(z) = -2*z**3 + 772*z**2 + 99842*z + 4293380. Let v(k) = -2*i(k) - 5*w(k). Factor v(r