0*r**4 - 1/150*r**6. Factor u(m).
-(m - 7)**4/5
Suppose -14*m - 9*m - 4 = -50. Let q(p) be the first derivative of -3/2*p + 1/12*p**3 - 13 - 1/8*p**m. Factor q(i).
(i - 3)*(i + 2)/4
Let m = -330 + 412. Let o = m + -736/9. Solve 0 + o*h**2 + 0*h + 2/9*h**4 + 4/9*h**3 = 0.
-1, 0
Let s be (16/8)/((-3)/9 - 0). Let h(f) = -f**2 - 250*f + 3125. Let o(v) = -2*v**2 - 250*v + 3125. Let x(m) = s*o(m) + 7*h(m). Factor x(b).
5*(b - 25)**2
Determine z, given that -252*z + 3056/3 - 2/3*z**2 = 0.
-382, 4
Let x(d) be the second derivative of 0 - 25/4*d**3 - 1/40*d**5 - 5/8*d**4 + 7*d - 1/2*d**2. Let m(a) be the first derivative of x(a). Factor m(u).
-3*(u + 5)**2/2
Let x be -6*(7 + -22 + -2). Determine w, given that 25*w**3 + 4*w + 108*w**2 + x*w**2 - 34*w - 65*w**2 = 0.
-6, 0, 1/5
Let s(d) = 3*d**3 - 273*d**2 + 717*d + 1029. Let t(l) = l**3 - 78*l**2 + 205*l + 294. Let p = -127 - -122. Let g(b) = p*s(b) + 18*t(b). Factor g(v).
3*(v - 7)**2*(v + 1)
Let s be (1 - -1) + -13 + (-1816)/(-247). Let t = s + 81/19. Suppose -24/13*d + 10/13*d**2 + t = 0. What is d?
2/5, 2
Let o be 971/971*5/(90/4). Let 16/9*t - 10/9*t**2 + o*t**3 - 8/9 = 0. What is t?
1, 2
Let x(h) be the third derivative of h**7/210 - 21*h**6/40 - 16*h**5/15 + 2464*h**2. Factor x(n).
n**2*(n - 64)*(n + 1)
Let o(h) be the second derivative of -24*h**7/7 - 284*h**6/5 - 4897*h**5/20 + 71*h**4 - 6*h**3 - 9628*h. Factor o(t).
-t*(t + 6)**2*(12*t - 1)**2
Let g = -46682/3 + 15561. Let p(b) be the second derivative of 0 - g*b**4 + b**5 - 10/3*b**3 + 29*b + 2*b**2. Let p(m) = 0. Calculate m.
-1, 1/5, 1
Let l(p) be the first derivative of 14*p**3/15 + 2018*p**2/5 + 1152*p/5 + 9954. Let l(a) = 0. Calculate a.
-288, -2/7
Let a(n) be the first derivative of -n**6/160 - 89*n**5/240 - 215*n**4/32 + 75*n**3/8 + n**2 - 2*n - 44. Let q(c) be the second derivative of a(c). Factor q(m).
-(m + 15)**2*(3*m - 1)/4
Let m(o) be the second derivative of o**7/483 + 7*o**6/345 - 27*o**5/230 + 29*o**4/138 - 10*o**3/69 + 14*o + 1. Find a such that m(a) = 0.
-10, 0, 1
Suppose -133 = -23*p - 3031. Let d be (5/3)/((-45)/p). Let 98/9 + 50/9*l**3 - d*l - 10*l**2 = 0. What is l?
-1, 7/5
Let s be (-2390)/(-15) - (-10)/6. Suppose 162*m + 112 + 20*m**2 + 287*m - s*m = 0. What is m?
-14, -2/5
Let s(x) be the third derivative of -2*x**7/105 - 11*x**6/30 + 56*x**5/15 - 10*x**4 - 508*x**2 + 2. Factor s(v).
-4*v*(v - 2)**2*(v + 15)
Let x(a) be the first derivative of 16*a**4/15 - 48*a**3/5 + 162*a**2/5 + 59*a - 85. Let g(m) be the first derivative of x(m). Find l, given that g(l) = 0.
9/4
Suppose 6*r + 174 - 258 = 0. Let s(g) = 3*g**2 + 13*g - 16. Let h(x) = x**2 + 4*x - 5. Let i(l) = r*h(l) - 4*s(l). Factor i(f).
2*(f - 1)*(f + 3)
Let a(m) be the third derivative of -m**7/105 - 7*m**6/10 - 27*m**5/10 - 10*m**4/3 - 1443*m**2. Let a(k) = 0. Calculate k.
-40, -1, 0
Suppose -2*v - 20 = -6*v. Suppose v*m - 46 = -3*l, 6*l - 3*l = -m + 26. Factor l + 5 + 3*a**2 - 10*a**2 - 21*a**2 - 34*a.
-2*(2*a + 3)*(7*a - 2)
Let 102/5*j - 1/5*j**3 - 49/5*j**2 + 0 = 0. Calculate j.
-51, 0, 2
Find q such that -362*q**3 + 6*q**5 + 193*q**3 - 2*q**5 + 96*q**3 - 88*q**4 + 233*q**3 = 0.
0, 2, 20
Let s be (-123)/(-2460)*8/42. Let p(o) be the third derivative of 0 - 1/7*o**4 + 0*o**3 - s*o**5 + 0*o - 38*o**2. Factor p(a).
-4*a*(a + 6)/7
Let a(h) be the third derivative of -h**7/42 - 31*h**6/6 - 961*h**5/3 + 3709*h**2. Factor a(w).
-5*w**2*(w + 62)**2
Suppose -3*t - 6*d = -10*d + 45, 5*d + 7 = -2*t. Let p(y) = -y**2 - 9*y + 24. Let g be p(t). Determine i, given that 2*i - 5/2*i**3 + 4 - 3*i**g - 1/2*i**4 = 0.
-2, 1
Suppose -w - 1 = -2*h, 5*w - 11 = -4*h + 4*w. Factor -a - 213*a**2 - 2*a**3 + a + 443*a**2 - 222*a**h.
-2*a**2*(a - 4)
Factor -1/5*q + 2/5 - 2/5*q**2 + 1/5*q**3.
(q - 2)*(q - 1)*(q + 1)/5
Suppose -q - 6066 = 4*o - 6050, -3*q = o + 4. Factor -225/4*s + q - 5/4*s**2.
-5*s*(s + 45)/4
Let r(z) be the first derivative of -z**4/12 - 2*z**3/3 - 70*z - 85. Let c(m) be the first derivative of r(m). Suppose c(b) = 0. What is b?
-4, 0
Let j(k) = 2*k**3 + 44*k**2 + 58*k - 100. Let s(q) = 3*q**3 + 42*q**2 + 58*q - 98. Let z(y) = -5*j(y) + 4*s(y). Factor z(r).
2*(r - 27)*(r - 1)*(r + 2)
Find a such that -14577*a**3 - 192 - 7*a**5 + 208*a**4 - 972*a**2 - 286*a**2 + 14247*a**3 - 904*a - a**5 = 0.
-1, -1/2, 4, 24
Let u(v) be the first derivative of 180 + 1/9*v**3 + 0*v + 17/6*v**2. Let u(d) = 0. Calculate d.
-17, 0
Let p(m) be the first derivative of -m**3/12 - 6*m**2 - 135*m/4 + 3167. Find l, given that p(l) = 0.
-45, -3
Factor 7*n**2 - 502*n**2 - 85*n**4 - 5*n**5 + 167*n**3 - 542*n**3.
-5*n**2*(n + 3)**2*(n + 11)
Let w be (-8)/(-48) + (0 - 790/(-12)). Let k be ((-12)/(-42))/(w/21 + -3). Find m such that -6/5*m + 14/5*m**k - 8/5 = 0.
-4/7, 1
Let d(y) = 2*y**2 - 32*y - 69. Let u(x) = 2*x**2 - 34*x - 70. Let a(l) = -l. Let v(m) = 2*a(m) - u(m). Let g(t) = -4*d(t) - 6*v(t). Factor g(f).
4*(f - 18)*(f + 2)
Let u be (-6)/4*(-6 + 4). Let w(c) be the second derivative of -3/20*c**5 + 37*c - 1/2*c**u - 1/2*c**4 + 0 + 0*c**2. Find z, given that w(z) = 0.
-1, 0
Determine c, given that 3/8*c**4 - 339/8*c**3 + 1218*c**2 + 0 - 1176*c = 0.
0, 1, 56
Let n(k) = -2*k**3 + 5*k + 8. Let r be n(2). Let l = -12559/13 + 967. Solve 2/13*p**r + l + 10/13*p = 0.
-3, -2
Let v = 3253/148 + -730/37. Let t(z) be the first derivative of 3/5*z**5 - 3/2*z**2 + 0*z - 46 + 3*z**3 - v*z**4. Determine s so that t(s) = 0.
0, 1
Let z = 103363 + -103361. Solve 0 + 0*m + 34/9*m**4 - 16/9*m**z - 14/9*m**3 - 4/9*m**5 = 0.
-1/2, 0, 1, 8
Let n = 1762/11 - 160. Let j = -1953 + 21485/11. Factor j*m**2 + n + 4/11*m.
2*(m + 1)**2/11
Let t be (2724/102150)/((-1)/(-60)). Factor 16/15*p - 2/15*p**4 + 4/5*p**3 - t*p**2 + 0.
-2*p*(p - 2)**3/15
Let j(r) be the first derivative of 55125*r**4/4 - 35350*r**3 - 4160*r**2 - 160*r + 687. Suppose j(i) = 0. What is i?
-4/105, 2
Suppose -104 = 11*s + 2*s. Let n be (-6)/s*(-104)/(-39). Determine h, given that 3 - h**3 - 9 + 11*h**2 - 4*h**n - 3*h**2 - h = 0.
-1, 2, 3
Let o(c) be the second derivative of c**3/6 + 7*c**2 - 18*c. Let u be o(-9). Factor 20 - 2*m**3 - 8*m**2 + 11 + u + 6*m.
-2*(m - 2)*(m + 3)**2
Factor 6685/3*b - 5/3*b**2 + 2230.
-5*(b - 1338)*(b + 1)/3
Let n(h) be the first derivative of -15/2*h**4 + 15*h**2 + h**3 + 0*h + 82 - 3/5*h**5. Factor n(q).
-3*q*(q - 1)*(q + 1)*(q + 10)
Let j = -394 + 396. Let y be (-34)/(-6) - (-2 - j - -9). Determine c, given that -1/6*c**4 - 2/3*c - 1/6 - y*c**3 - c**2 = 0.
-1
Let d(q) be the second derivative of q**5/110 + 30*q**4/11 + 3600*q**3/11 + 216000*q**2/11 + 686*q. Factor d(i).
2*(i + 60)**3/11
Let t = -448/31 + 3322/217. Let g(x) be the first derivative of -t*x - 1/7*x**2 + 2/7*x**3 + 9 + 1/14*x**4. Factor g(a).
2*(a - 1)*(a + 1)*(a + 3)/7
Let u be (111 + 14)/(((-8)/(-5))/(-4)). Let r = u + 340. Suppose -225/2*c**2 - 5/2*c**4 - 405/2*c - r*c**3 - 135 = 0. What is c?
-3, -2
Suppose -5*o = -0*u + 5*u, -4*o = -2*o + 8. Let b(l) be the third derivative of 0*l + 1/30*l**5 + 0 - 11*l**2 - 7/3*l**3 - 1/2*l**u. Factor b(x).
2*(x - 7)*(x + 1)
Suppose 23*i - 21*i = 12*i - 110. Let z(m) be the third derivative of 1/3*m**4 - i*m**2 + 0 + 0*m**3 + 0*m - 1/15*m**5. Factor z(p).
-4*p*(p - 2)
Let v be -2 - -1 - (-2)/(132/265854). Let r = v - 4024. Factor 250/11 + 650/11*f + 2/11*f**5 + 580/11*f**2 + r*f**4 + 212/11*f**3.
2*(f + 1)**2*(f + 5)**3/11
Let k(x) = 16*x**2 - 19636*x + 4938. Let f(j) = -48*j**2 + 58908*j - 14804. Let l(d) = 3*f(d) + 8*k(d). Factor l(i).
-4*(i - 1227)*(4*i - 1)
Factor 24 - 3/2*s**2 + 23*s - 1/2*s**3.
-(s - 6)*(s + 1)*(s + 8)/2
Let x = 28894 + -28892. What is v in 0 + x*v**2 + 1/2*v**3 + 2*v = 0?
-2, 0
Find d such that -6/11*d**3 - 4 + 26/11*d + 64/11*d**2 = 0.
-1, 2/3, 11
Let x(t) be the first derivative of t**6/1980 - t**5/220 - 5*t**4/66 + 83*t**3/3 - 85. Let q(c) be the third derivative of x(c). Factor q(m).
2*(m - 5)*(m + 2)/11
Let d(r) be the first derivative of r**5/25 - 8*r**4/5 + 239*r**3/15 + 136*r**2/5 + 310. Factor d(s).
s*(s - 17)*(s - 16)*(s + 1)/5
Let f(v) = 3 + 1 - 2 + v. Let p be f(0). Factor -p*i**4 + i**2 - 8 + 4*i**2 - i**2 - 6*i**3 + 6*i + 6*i**2.
-2*(i - 1)**2*(i + 1)*(i + 4)
Let y = -295582 - -7389566/25. Find o, given that 12/25*o - 2/25*o**4 + 0 - 26/25*o**2 + y*o**3 = 0.
0, 1, 6
Suppose 45*r + 135