 j(v).
5*(v - 3)**2
Let q(p) be the first derivative of p**6/15 + 3*p**5/5 - 5*p**4/2 + 8*p**3/3 - 222*p - 72. Let l(u) be the first derivative of q(u). Factor l(j).
2*j*(j - 1)**2*(j + 8)
Suppose -670*a**4 - 486*a + 675*a**4 + 750*a**2 + 227 - 934*a + 693 - 145*a**3 = 0. Calculate a.
2, 23
Let z = 74 + -92. Let h(q) = 3*q + 57. Let l be h(z). What is b in 48*b**3 + 37*b**3 - 25*b**2 - 120*b**l + 10*b**4 + 20*b = 0?
-1, 0, 1/2, 4
Factor -1646/5 + 1644/5*w + 2/5*w**2.
2*(w - 1)*(w + 823)/5
Suppose 2*f - 40*j + 41*j = 3, 0 = 5*f - 2*j - 30. Let l(y) be the second derivative of 0*y**3 + 4/15*y**2 - 1/30*y**f + 2*y + 1/150*y**5 + 0. Factor l(v).
2*(v - 2)**2*(v + 1)/15
Let v(i) = 5*i**4 + 83*i**3 - 1133*i**2 - 1163*i - 6. Let w(u) = -4*u**4 - 84*u**3 + 1116*u**2 + 1164*u + 4. Let r(c) = 2*v(c) + 3*w(c). Factor r(k).
-2*k*(k - 11)*(k + 1)*(k + 53)
Let r(x) be the second derivative of x**4 + 9*x**2 + 11/2*x**3 - 3/20*x**5 + 6*x + 0. Factor r(q).
-3*(q - 6)*(q + 1)**2
Suppose 224 = -17*v + 31*v. Let x be 20/63 - (48/(-27))/v. Factor 9/7*d + 0 + x*d**2.
3*d*(d + 3)/7
Let a(b) = -3 + 351*b**2 - 33*b + 1 - 12 - 353*b**2. Let f be a(-16). Determine o so that 0*o**4 - 16/5*o**f + 12/5*o**3 + 0 - 2/5*o**5 + 6/5*o = 0.
-3, 0, 1
Suppose 15*l = 74 - 14. Let 52/3*x**2 + 64/3 + 4*x**3 + 1/3*x**l + 32*x = 0. What is x?
-4, -2
Find n, given that -238066*n**2 + 8333*n**2 + 3844*n**3 + 31648*n**2 + 32256*n - 52271*n**2 - 1040 = 0.
2/31, 65
Let w be (-62)/(-93)*12/(-32). Let m = 17/36 + w. Find x, given that -2/3 + 2/9*x**3 - m*x**2 - 10/9*x = 0.
-1, 3
Let r = -16 - -43. Let b = r - -14. Factor 15*v**3 - 7*v**2 - 6*v**2 + 21*v + 18 - b*v**2.
3*(v - 3)*(v - 1)*(5*v + 2)
Suppose -l = -a + 3, -a + 5*l = -0*a - 7. Suppose -4*d + 14 - a = -4*y, -5*d + 4*y = -15. Factor -3*w**4 - 8*w**2 - 15*w**d + 9*w**3 + 5*w**2.
-3*w**2*(w + 1)**2
Let w(j) = j**4 + 83*j**3 + 154*j**2 + 48*j + 4. Let q(l) = 3*l**4 + 82*l**3 + 155*l**2 + 46*l + 5. Let p(z) = 12*q(z) - 15*w(z). Factor p(h).
3*h*(h - 14)*(h + 1)*(7*h + 4)
Let r(f) be the third derivative of f**5/5 - 347*f**4/6 - 232*f**3/3 + 92*f**2 + 3. Determine c so that r(c) = 0.
-1/3, 116
Suppose 5735846*m = 5735785*m. Factor -2/11*x**4 + 0*x - 12/11*x**2 + 10/11*x**3 + m.
-2*x**2*(x - 3)*(x - 2)/11
Let f(p) = 4*p + 2. Let v be f(-1). Let w be -5*((-136)/220 + v/11). Suppose -4/5*x**2 + 0*x**3 + 0 + 0*x + 1/5*x**w = 0. Calculate x.
-2, 0, 2
Let z be 166/2241*(-2295)/(-30). Find o such that 3*o**3 + 0 + o**5 - z*o**4 + 41/3*o**2 + 4*o = 0.
-1, -1/3, 0, 3, 4
Let q(u) be the third derivative of -u**5/15 + 8*u**4/3 + 1024*u**3/3 - 1422*u**2 + 3. Find s such that q(s) = 0.
-16, 32
Let g(z) be the first derivative of -z**4/26 + 76*z**3/39 - 136*z**2/13 + 5144. Solve g(i) = 0.
0, 4, 34
Let h(o) = 60*o**3 + 18122*o**2 + 10864*o - 7233. Let g(u) = 5*u**3 + u**2 + 2*u + 1. Let t(w) = 7*g(w) - h(w). Find z, given that t(z) = 0.
-724, -1, 2/5
Let q(i) be the second derivative of i**5/130 + 31*i**4/39 - i**3/39 - 62*i**2/13 + 2*i - 30. Solve q(k) = 0.
-62, -1, 1
Let g(r) = 5*r**3 - 17*r - 17. Let d(z) = -z**3 + 3*z + 3. Let n = -110 - -76. Let t(a) = n*d(a) - 6*g(a). Factor t(l).
4*l**3
Let f(y) be the second derivative of -57*y**6/80 - 177*y**5/160 - y**4/16 + 3*y + 305. Factor f(x).
-3*x**2*(x + 1)*(57*x + 2)/8
Let w(n) be the third derivative of n**7/14 - 74*n**6/5 - 241*n**5/5 + 60*n**4 - 800*n**2. What is f in w(f) = 0?
-2, 0, 2/5, 120
Let s = -750/151 - -5703/1057. Determine j so that -75/7 + 3/7*j**2 + s*j**3 - 75/7*j = 0.
-5, -1, 5
Let x = -855859/2508 - -1365/4. Let n = x + 5645/1254. Factor 3/2*a**3 + 3 - 15/2*a - 3/2*a**4 + n*a**2.
-3*(a - 1)**3*(a + 2)/2
Let i(c) be the first derivative of -2*c**5/45 - 50*c**4/9 - 2308*c**3/9 - 48100*c**2/9 - 462722*c/9 + 1104. Solve i(k) = 0 for k.
-37, -13
Let d(g) be the second derivative of -g**6/30 - 3*g**5/8 - 7*g**4/6 - 5*g**3/4 + 283*g + 3. Factor d(p).
-p*(p + 1)*(p + 5)*(2*p + 3)/2
Suppose 23*d = -528 - 438. Let n be 6/(-14) + (-102)/d. Factor -z - z**n - 1/3 - 1/3*z**3.
-(z + 1)**3/3
Factor 218/3*h**2 + 20/3*h**4 + 116/3*h**3 + 50/3 - 1/3*h**5 + 173/3*h.
-(h - 25)*(h + 1)**3*(h + 2)/3
Let d(x) be the second derivative of -3*x**5/20 - 6*x**4 - 111*x**3/2 + 204*x**2 + 1119*x. Factor d(i).
-3*(i - 1)*(i + 8)*(i + 17)
Suppose 0 = -284*h + 256*h - 24 + 80. Factor 0 - 2/3*q**3 - 2*q**h + 0*q.
-2*q**2*(q + 3)/3
Suppose -3*l + l - 4*i = -20, 5*l = 7*i - 18. Let h(m) be the first derivative of 0*m + 4/3*m**3 - 9 + 4*m**l. Determine g, given that h(g) = 0.
-2, 0
Suppose 3*w - 4*z - 705 = 0, 4*w + 8*z = 12*z + 940. Solve -340*u + 410*u + w*u**2 - 26*u**3 - 9*u**3 = 0.
-2/7, 0, 7
Let a = 905 + -902. Let w(c) be the first derivative of 1/4*c**a + 9/4*c**2 + 15/4*c + 16. Factor w(z).
3*(z + 1)*(z + 5)/4
What is l in -3/7*l**3 - 15*l + 6*l**2 + 66/7 = 0?
1, 2, 11
Let r be 64/(-512) - (-30)/24. Factor -3/8*j**2 + 0 + r*j.
-3*j*(j - 3)/8
Suppose -4*o + 118 = 2*q + 22, 4*o = -q + 98. Let x = -3 - -5. Factor 20 + 12*k**x + o*k - 2*k**2 - 5*k**2.
5*(k + 1)*(k + 4)
Suppose 290 = 112*z - 34*z - 49*z. Let a(t) be the first derivative of -23 - 5/4*t**4 + 0*t + z*t**3 + 0*t**2. Solve a(d) = 0.
0, 6
Suppose 2182*b - 450 = 2092*b. Let i(y) be the third derivative of 2/15*y**4 + 0*y + 1/150*y**b - 2*y**2 + 7/15*y**3 + 0. Determine s so that i(s) = 0.
-7, -1
Let v(d) be the second derivative of -d**6/600 - 61*d**5/200 - 73*d**3/6 - 72*d. Let x(z) be the second derivative of v(z). Determine l so that x(l) = 0.
-61, 0
Let l(f) be the second derivative of -f**7/252 + f**6/90 + f**5/30 - f**4/9 - 151*f + 15. Find u such that l(u) = 0.
-2, 0, 2
Let i(m) be the first derivative of -2*m**7/105 - m**6/15 + m**4/3 + 2*m**3/3 + 41*m**2/2 + 18. Let z(y) be the second derivative of i(y). Solve z(k) = 0.
-1, 1
Let l be 3/((-18)/(-8))*(-183)/122. Let b be (0/(7/((-7)/l)))/1. Factor 2/7*z**3 + 0*z + b + 2/7*z**2.
2*z**2*(z + 1)/7
Let x be -5 - ((-1948)/374 - -3*(-6)/(-153)). Factor x*m**2 - 4/11*m + 3/11.
(m - 3)*(m - 1)/11
Let u(g) = -27*g**3 - 819*g**2 + 795*g + 1650. Let z(n) = -5*n**3 - 164*n**2 + 159*n + 330. Let x(t) = -4*u(t) + 21*z(t). Let x(q) = 0. Calculate q.
-1, 2, 55
Let k(l) be the first derivative of -4*l**5/5 - 76*l**4 + 316*l**3/3 + 308*l**2 + 7277. Factor k(v).
-4*v*(v - 2)*(v + 1)*(v + 77)
Let j be (-20)/(-12)*(-48)/(-40). Factor -4*f**j - 7171 + 7171 + 16*f.
-4*f*(f - 4)
Let d = -2025 - -2029. Let n(v) be the second derivative of 1/57*v**3 + 0*v**2 + 0 - 1/190*v**5 + 20*v + 1/114*v**d - 1/285*v**6. Factor n(h).
-2*h*(h - 1)*(h + 1)**2/19
Suppose -26 = 2*b - 5*b + 5*w, 3*b + 2*w + 2 = 0. Factor -6*y + 93*y**b - 45*y**2 - 49*y**2.
-y*(y + 6)
Let x(g) be the third derivative of -1/120*g**6 + 0*g + 1/24*g**4 + 116*g**2 - 1/20*g**5 + 1/2*g**3 + 0. Solve x(h) = 0 for h.
-3, -1, 1
Let o(k) be the first derivative of 0*k**3 + 1/210*k**5 + 1/28*k**4 - 39/2*k**2 - 15 + 0*k. Let v(t) be the second derivative of o(t). Factor v(c).
2*c*(c + 3)/7
Let d(o) = -2*o**4 + 18*o**3 + 19*o**2 + 5*o - 16. Let s(w) = 7*w**4 - 81*w**3 - 76*w**2 - 21*w + 63. Let t(m) = -18*d(m) - 4*s(m). Factor t(c).
2*(c - 2)*(c - 1)*(2*c + 3)**2
Let a be 12 - (2 + -2)/(-5). Suppose a = 2*w + 3*z, -4*z - 48 = -3*w - z. Find b such that 3*b**2 + 428*b - w - 428*b = 0.
-2, 2
Let u be (-35)/(-21) - 219/(-9). Factor -m**2 + u + 48*m - 218 - 2*m**2.
-3*(m - 8)**2
Let x(j) be the first derivative of -36*j + 33/2*j**2 + 13*j**3 - 3/5*j**5 + 214 - 33/4*j**4. Factor x(b).
-3*(b - 1)**2*(b + 1)*(b + 12)
Let c(j) be the second derivative of 1/5*j**5 + 4*j + 8/3*j**3 + 0*j**2 - 1 + 5/3*j**4. Factor c(l).
4*l*(l + 1)*(l + 4)
Let y = -323 + 323. Let t be y/(3 + 6 - 7). Solve 0 + t*o - 4/11*o**3 + 0*o**2 + 2/11*o**5 + 2/11*o**4 = 0.
-2, 0, 1
Factor 1/4*b**4 - 1/4*b**3 - 3/4*b**2 - 1/2 + 5/4*b.
(b - 1)**3*(b + 2)/4
Let m(w) = -12*w**2 - 23*w + 4. Suppose 5*l - 3*r = -4, -42*r + 44*r + 2 = l. Let c be m(l). Solve 4*x + 14 + 2/7*x**c = 0 for x.
-7
Let t(l) be the third derivative of -l**8/1176 + 19*l**7/735 - 3*l**6/70 + 1355*l**2. Factor t(y).
-2*y**3*(y - 18)*(y - 1)/7
Let d(a) = 19*a**3 - 2*a**2 - 17*a - 14. Let t be 1/(-8) - (-55)/(-8). Let m(v) = 13*v**3 - 2*v**2 - 11*v - 10. Let n(y) = t*m(y) + 5*d(y). Factor n(i).
4*i*(i - 1)*(i + 2)
Let m(i) = -17*i + 2. Let q 