 65*u**4 - 356*u**3 + 187*u**2 + 635*u. Let o(a) = 7*a**5 - 34*a**4 + 178*a**3 - 94*a**2 - 317*a. Let s(g) = 2*m(g) + 5*o(g). Factor s(q).
q*(q - 35)*(q - 3)**2*(q + 1)
Suppose 35 - 17 = 3*u. Suppose -11*s = -u*s - 20. Factor -5547 + 5547 + 10*j + 25*j**2 + 20*j**3 + 5*j**s.
5*j*(j + 1)**2*(j + 2)
Let m be (9/18)/(6/4 + -2). Let l be 1/m + 4 + 10/(-4). Factor 2/3 + 11/6*p - l*p**2.
-(p - 4)*(3*p + 1)/6
Let v(q) be the first derivative of -14*q**3/39 + 957*q**2/13 + 548*q/13 - 119. Factor v(l).
-2*(l - 137)*(7*l + 2)/13
Factor -1258/9*r + 314/9 + 8/9*r**2.
2*(r - 157)*(4*r - 1)/9
Factor -175/3*s + 6125/6*s**2 + 5/6.
5*(35*s - 1)**2/6
Suppose -2 = y + f, -y - 14*f + 8 = -18*f. Let r be y/((-6)/8 + (-110)/88). Let -75/4*x**2 + r*x + 0 - 3/4*x**4 + 15/2*x**3 = 0. Calculate x.
0, 5
What is s in -40*s**2 + 60*s**3 + 3*s**5 + 12*s**2 - 29*s**4 + 4*s - 3*s - s = 0?
0, 2/3, 2, 7
Let h = 92392/35 - 2640. Let r = 493/140 - h. Factor r*j + 5/4*j**2 + 0.
5*j*(j + 3)/4
Let m(p) = 7*p**3 - 26*p**2 + 19*p - 16. Let u(t) = t**2 - t + 4. Let x(b) = m(b) + 4*u(b). Factor x(f).
f*(f - 1)*(7*f - 15)
Suppose 9019*j - 8949*j - 210 = 0. Factor 3/5*g**4 - 18/5*g**3 + 0 + j*g**2 + 0*g.
3*g**2*(g - 5)*(g - 1)/5
Suppose 22*g - 604 = 1816. Suppose -4 - q**2 - 222*q + 116*q + g*q = 0. What is q?
2
Factor -20*t - 3*t**5 + 21*t**3 - 1145*t**4 + 566*t**4 - 24 + 587*t**4 + 4*t**5 + 14*t**2.
(t - 1)*(t + 2)**3*(t + 3)
Suppose 3*l - 4*x - 3 = 0, -5*l - 5*x = -16*l + 69. Find m, given that -l*m + 27/5 + 12/5*m**2 = 0.
3/4, 3
Let q = -12050/3 + 4017. Let b(z) be the first derivative of 4*z - 5 - 3/2*z**2 - q*z**3. Solve b(r) = 0.
-4, 1
Let b(o) = 2*o - 5. Suppose -6*i + 10*i = 12. Let p be b(i). Factor -5 + 10*l + p - 4*l**2 - 8 - 26*l.
-4*(l + 1)*(l + 3)
Let v(g) = -2*g**3 - 2*g**2. Let n(t) = -15*t**3 + 25*t**2 + 70*t. Let d(p) = n(p) - 10*v(p). Find h such that d(h) = 0.
-7, -2, 0
Factor 45*x**2 - 81874*x**3 + 81879*x**3 + 20*x - 70*x.
5*x*(x - 1)*(x + 10)
Let l = 1388 + -1388. Let i(t) be the second derivative of 0*t**2 + 1/10*t**5 - 1/15*t**6 - 1/21*t**7 + 23*t + 1/6*t**4 + 0*t**3 + l. Factor i(v).
-2*v**2*(v - 1)*(v + 1)**2
Let c(i) be the second derivative of -43/30*i**3 + 294*i + 2/3*i**4 + 0 - 9/100*i**5 + 6/5*i**2. Factor c(k).
-(k - 3)*(k - 1)*(9*k - 4)/5
Let z(a) = -9*a + 99. Let g be z(6). Suppose -10*q**3 + g*q + 6*q - 15*q**2 - 3*q - 8*q + 5*q**4 - 20 = 0. Calculate q.
-2, 1, 2
Let g = 241 + -193. What is r in -1121*r**2 + 1171*r**2 + 13*r - g*r - 15 = 0?
-3/10, 1
Let b be (16/(-10))/((-14)/10 - -1). What is q in -1 + 5*q**3 + q**4 - 10*q**3 + 1 - b*q + 8*q**2 = 0?
0, 1, 2
Let j be (6/9)/(2/15). Let q = j + 1. Factor -38*f**3 + 8*f**3 + q*f**2 + 2*f**4 + 20*f**3 + 18*f.
2*f*(f - 3)**2*(f + 1)
Suppose -v = 4*h + 3*v - 20, -v - 4 = 0. Let r be ((-2)/(-3))/(((-28)/h)/(-14)). Factor -2/7 - 1/7*o + 2/7*o**2 + 1/7*o**r.
(o - 1)*(o + 1)*(o + 2)/7
Let z = 174941/36395 - 49/7279. Factor -4/5*o - z + 4/5*o**2.
4*(o - 3)*(o + 2)/5
Let s be 0 + 7 + -1 + 193. Factor s*p**3 - p**3 + 24*p - 39*p**4 - 486*p**2 + 543*p - 243 + 3*p**5.
3*(p - 3)**4*(p - 1)
Factor -35*r**2 + 1330 - 39*r**2 + 6010*r - 20*r**2 + 119*r**2 + 645*r.
5*(r + 266)*(5*r + 1)
Factor 8/21*l**3 + 0 - 1294/21*l**2 - 108/7*l.
2*l*(l - 162)*(4*l + 1)/21
Let o(k) be the first derivative of -2*k**5/25 - 37*k**4/10 - 68*k**3/5 + 583. Factor o(c).
-2*c**2*(c + 3)*(c + 34)/5
Let m be (-12)/(-4 + 2)*(-2 - -3). Let y(x) = 3*x**2 + 5. Let r(o) = 17*o**2 + 27. Let a(u) = m*r(u) - 33*y(u). Solve a(j) = 0 for j.
-1, 1
Let w be 120/(-57) - (-2)/19. Let z be (4 + -3)/((-3)/w). Find b such that -z*b**2 + 0 - 4/3*b = 0.
-2, 0
Let q = 12675/64 + -164135/832. Find u, given that q*u**2 + 2/13*u**3 + 14/13*u + 6/13 = 0.
-3, -1
Let v(p) be the second derivative of 0 + 21*p - 20/9*p**3 + 5/36*p**4 + 1/36*p**5 + 4*p**2. Let c(n) be the first derivative of v(n). Factor c(i).
5*(i - 2)*(i + 4)/3
Let a(w) be the second derivative of 50*w**7/147 - 4*w**6/21 - 64*w**5/35 - 32*w**4/21 + w - 440. What is s in a(s) = 0?
-4/5, 0, 2
Let g(t) = -4*t**3 - 3954*t**2 + 2605686*t - 572382358. Let h(s) = -s**3. Let f(j) = g(j) - 6*h(j). Factor f(x).
2*(x - 659)**3
Let b(z) = 3*z**3 - 49*z**2 + 267*z - 1779. Let y be b(13). Suppose -6/5*c**3 + 114/5*c + 96/5*c**y - 204/5 = 0. What is c?
-2, 1, 17
Determine h so that 42*h - h**4 + h**5 - 30*h**3 - 172177*h**2 - 6*h**4 - 2*h + 172173*h**2 = 0.
-2, 0, 1, 10
Solve 2*t**3 + 1/4*t**4 + 3*t**2 + 0 + 0*t = 0 for t.
-6, -2, 0
Solve -1/2*x**3 - 1/2*x**2 + 0 + 6*x = 0 for x.
-4, 0, 3
Let c(s) be the first derivative of -127 + 1/8*s**6 - 3/8*s**2 + 3/10*s**5 + 0*s**4 + 0*s - 1/2*s**3. Solve c(l) = 0 for l.
-1, 0, 1
Let x = 9821/85566 + 2/3291. Let m(n) be the first derivative of 0*n**2 - 4 + 2/65*n**5 + 0*n + 4/39*n**3 + x*n**4. Factor m(r).
2*r**2*(r + 1)*(r + 2)/13
Find j, given that -489/5*j**2 + 0*j + 0 + 1/5*j**4 + 32*j**3 = 0.
-163, 0, 3
Factor 0 + 42*z**4 - 3/2*z**5 - 141*z**3 - 2142*z**2 - 7803/2*z.
-3*z*(z - 17)**2*(z + 3)**2/2
Determine p so that -29647*p + 5*p**2 + 15325*p + 15027*p = 0.
-141, 0
Let w(q) be the first derivative of 4*q**5/35 - 5*q**4/7 - 8*q**3/21 + 48*q**2/7 + 4309. Suppose w(a) = 0. Calculate a.
-2, 0, 3, 4
Let u be 2 - -3 - (84 - -8). Let a = u - -91. Let 45*b**3 + 39*b**a + 150*b**2 + 220*b - 13*b**4 - 21*b**4 + 120 = 0. Calculate b.
-3, -2
Let c(z) be the second derivative of 180*z**3 - 3/2*z**5 - 47/4*z**4 - 218*z + 1944*z**2 + 0 + 1/10*z**6. Factor c(s).
3*(s - 9)**2*(s + 4)**2
Suppose 103*x - 101*x = 14. Let l be -41 - -42 - 1/x*-1. Factor 2/7*q**2 - l*q - 10/7.
2*(q - 5)*(q + 1)/7
Let y(v) be the first derivative of 12/7*v**2 + 0*v + 2/3*v**3 + 1/28*v**4 + 21. Factor y(n).
n*(n + 2)*(n + 12)/7
Let k(r) be the third derivative of -r**7/315 - 47*r**6/45 - 4226*r**5/45 + 3008*r**4/3 - 4096*r**3 - 3634*r**2. Factor k(g).
-2*(g - 2)**2*(g + 96)**2/3
Let v(f) = 4*f - 5. Let c = -253 - -255. Let u be v(c). Factor 4/5*w**u + 108/5*w - 36/5*w**2 - 108/5.
4*(w - 3)**3/5
Suppose -u = -12 + 9. Let y be u*(-140)/(-12) - -1. Let -y*f**2 - f + 47*f**4 - 11*f + 88*f**4 + 0*f + 111*f**3 = 0. What is f?
-1, -2/9, 0, 2/5
Let z(j) be the second derivative of j**7/168 - j**6/40 - 47*j**5/80 - 23*j**4/16 + 23*j**3/12 + 9*j**2 + 1227*j. Solve z(n) = 0 for n.
-4, -2, -1, 1, 9
Let i = 37 - 43. Let c(o) = 7*o**3 + 59*o**2 - 133*o + 11. Let k(w) = 2*w**3 + 15*w**2 - 33*w + 3. Let l(a) = i*c(a) + 22*k(a). Find u, given that l(u) = 0.
0, 6
Let k(z) be the second derivative of z**7/1260 - 7*z**6/120 + z**5/3 - 143*z**4/12 - 109*z. Let y(v) be the third derivative of k(v). Let y(f) = 0. Calculate f.
1, 20
Let p be (378/78 - 3) + (-912)/156 + 6. Solve 78/11*f**3 + 288/11*f**p + 216/11*f + 6/11*f**4 + 0 = 0 for f.
-6, -1, 0
Suppose 9*g = 51*g - 672. Suppose -29 = g*x - 93. Let 5*c**2 - 10/3 - 5/3*c**3 + 5/3*c - 5/3*c**x = 0. Calculate c.
-2, -1, 1
Let q(t) = t**2 - 2*t + 5. Let h(r) = 4*r**2 - 4100*r - 2088938. Let j(s) = h(s) - 6*q(s). Solve j(b) = 0 for b.
-1022
Let h(t) be the second derivative of -t**5/20 + 31*t**4/6 + 322*t**3/3 - 31740*t**2 - 3*t + 81. Determine z so that h(z) = 0.
-30, 46
Factor 89*f**3 - 2*f**4 - 1552671 - 94415 - 12523*f**2 - 3941*f**2 - 397*f**3 - 336140*f.
-2*(f + 7)*(f + 49)**3
Let c = 32477/12 - 2706. Let m(f) be the second derivative of -1/72*f**4 - 12*f + 0 - c*f**2 + 1/6*f**3. Let m(q) = 0. Calculate q.
1, 5
Let a = -76 + 90. Suppose a*z = 19*z - 10. Factor 5*n**4 + 15*n + 6*n**2 - 1 - 9 + 14*n**3 - 29*n**3 - n**z.
5*(n - 2)*(n - 1)**2*(n + 1)
Let r(w) be the third derivative of w**7/840 + w**6/96 - 13*w**5/240 - 53*w**4/96 + 5*w**3/2 - 189*w**2. Solve r(y) = 0 for y.
-5, -4, 1, 3
Let m be 7 - (-1371)/(-180) - 6/(-8). Let f(q) be the first derivative of -1/3*q**4 + 0*q**3 - 16 + 1/9*q**6 + m*q**5 + 0*q**2 + 0*q. Factor f(s).
2*s**3*(s - 1)*(s + 2)/3
Solve 30*b**3 - 171*b + 460*b - 427*b + 15 - 123*b**2 = 0 for b.
-1, 1/10, 5
Let k(z) be the third derivative of 0*z**3 + 0*z**5 + 0 + 41*z**2 + 0*z + 2/735*z**7 + 1/140*z**6 - 1/1176*z**8 + 0*z**4. Find t, given that k(t) = 0.
-1, 0, 3
Factor -a**2 - 87*a**2 + 42*a**3 - 3*a**4 - 116*a**2 + 237*a**3 - 72*a**2.
-3*a**2*(a - 92)*(a - 1)
Let r(u) be the first derivative of -u**4/12 - u**3 - 4*u**2 - 20*u/3 + 1245. Let r(v) = 0. What 