- 73*g - 135. Let q(u) be the first derivative of y(u). Factor q(f).
3*f**2*(f + 45)
Let m(w) be the third derivative of w**7/560 - 19*w**6/320 + 880*w**2. Factor m(z).
3*z**3*(z - 19)/8
Let u(v) = 9*v**4 + 1205*v**3 + 2021*v**2 + 628*v - 318. Let p(g) = -5*g**3 + 6. Let s(y) = -44*p(y) - 4*u(y). Find c, given that s(c) = 0.
-126, -1, 2/9
Factor -6/7*a + 1/7*a**2 + 0.
a*(a - 6)/7
Factor -87*g**3 + 34*g**3 + 23*g**3 + 5*g**2 - 36 + 28*g**3 + 18*g - g**2.
-2*(g - 3)*(g - 2)*(g + 3)
Let v(o) be the third derivative of -o**6/60 + 34*o**5/15 + 139*o**4/12 + 70*o**3/3 - 205*o**2 + 12*o - 2. Factor v(z).
-2*(z - 70)*(z + 1)**2
Let z be (48/110)/(8950/25125). Let o = -24/179 + z. Find f, given that o*f**2 - 8/11*f - 8/11*f**3 + 2/11*f**4 + 2/11 = 0.
1
Let w = 3/274876 + 6459583/274876. Determine v so that -35/6 - w*v - 2/3*v**2 = 0.
-35, -1/4
Let g(z) be the first derivative of -38 + 27/5*z + 9/5*z**2 + 1/5*z**3. Determine c so that g(c) = 0.
-3
Let m(k) = 2*k**2 - 148*k - 628. Let z(o) = -o**2 + 59*o + 251. Let i = 50 - 30. Suppose -3*a = -7*a + i. Let f(v) = a*m(v) + 12*z(v). Factor f(h).
-2*(h + 8)**2
Let h(c) = 4*c + 13. Let s be h(5). What is t in -6*t - 13*t**3 - 10*t**3 - 8*t**3 - 4*t**2 + s*t**3 = 0?
-1, 0, 3
Let u be ((-1)/(-2))/((-7)/(-4))*50/100. Factor 1/7*f + u*f**2 - 2/7.
(f - 1)*(f + 2)/7
Suppose -5*i + 86 = g, -3*g + g - 3*i + 158 = 0. Find d such that 8 + g*d + 6*d**4 + 5*d**5 - 19*d**3 - 62*d + 11*d**4 - 25*d**2 = 0.
-4, -1, -2/5, 1
Let c(i) = -i**3 + 25*i**2 + i - 17. Let p be c(25). Let v be 2/p + (-10)/((-240)/7002). Factor -v*b**3 + 400*b**4 - 75*b**3 - 1117*b**3 + 392*b**2 - 28*b**5.
-4*b**2*(b - 7)**2*(7*b - 2)
Factor 11*o**2 + 316186 + 8*o**3 - 30*o**2 - 36*o**2 - o - 316174 + 90*o.
(o - 4)*(o - 3)*(8*o + 1)
Let p(l) be the first derivative of -2/3*l**3 + 82*l + 293 + 40*l**2. What is g in p(g) = 0?
-1, 41
Let h(m) = -155*m - 172. Let n be h(-8). Let -n*l**2 + 1066*l**2 + 10 - 1 - 1 + 6*l = 0. Calculate l.
-1, 4
Let a(k) = -k**3 + 83*k**2 - 187*k + 2027. Let m be a(81). Let 4/7*d**m + 128/7*d + 1024/7 = 0. Calculate d.
-16
Let w(j) be the first derivative of -j**4/2 - 20*j**3/3 + 229*j**2 - 1540*j - 1713. Factor w(a).
-2*(a - 7)*(a - 5)*(a + 22)
Suppose -3*z + 3*z = 5*z. Suppose -7*q - 22 = v - 2*q, z = -4*v + 2*q + 22. What is w in -10*w - 3 - 25*w**4 - 18*w**3 + v - 42*w**3 - 45*w**2 = 0?
-1, -2/5, 0
Let c be (-4)/(-26) - 5890/(-247). Let s(u) = 4*u**3 - 3*u**2 - 7*u. Let t(r) = 20*r**3 - 16*r**2 - 36*r. Let y(m) = c*s(m) - 5*t(m). What is a in y(a) = 0?
-1, 0, 3
Suppose 340 = 48*y + 100. Suppose -4*d - 5*v - 25 = 0, 9*v = y*d + 8*v - 5. Factor -3/2*t**3 - 2*t**2 + d - 1/2*t.
-t*(t + 1)*(3*t + 1)/2
Suppose p + 5*p = 12. Let j(r) = r**2 + 2*r - 6. Let y be j(p). What is q in 13*q**5 - y*q**4 + 8*q**4 + 0*q**3 - 6*q**2 + 3*q**3 - 16*q**5 = 0?
-1, 0, 1, 2
Let u be (1 - 5/4) + 2/((-216)/(-621)). Determine x, given that -48*x**2 - 128/3*x - 1/6*x**4 + 0 - u*x**3 = 0.
-16, -1, 0
Suppose 6 - 2 = 2*h. Let s(r) = -25*r + 328. Let i be s(13). Factor 22*p**4 - 12*p**2 - 6*p**i - 13*p**4 + 9*p**h.
3*p**2*(p - 1)*(3*p + 1)
Let p(w) be the first derivative of -3 + 1/9*w**3 + 0*w - 1/360*w**6 + 0*w**5 + 1/24*w**4 - w**2. Let q(x) be the second derivative of p(x). Factor q(f).
-(f - 2)*(f + 1)**2/3
Let m be -28*22/(-132)*3. Factor m*l**3 - 1/2*l**4 + 486*l - 135*l**2 - 729/2.
-(l - 9)**3*(l - 1)/2
Let z(g) be the third derivative of -g**8/588 - 194*g**7/245 - 573*g**6/70 - 171*g**5/7 - 131*g**2 + 4*g - 3. Solve z(k) = 0 for k.
-285, -3, 0
Let j(p) = -7*p**4 + 4*p**3 + 7*p**2 + 2*p + 6. Let x(a) = -a**4 + 2*a + 1. Let l(y) = -5*j(y) + 30*x(y). Factor l(f).
5*f*(f - 5)*(f - 1)*(f + 2)
Suppose 60*d - 2096 = -71*d. Let z(t) be the third derivative of -1/36*t**4 + 0 + 0*t + d*t**2 + 1/360*t**5 + 0*t**3. Solve z(w) = 0 for w.
0, 4
Let m(a) = 14*a**3 - 141*a**2 - 342*a - 72. Let f(s) = 75*s**3 - 704*s**2 - 1711*s - 358. Let g(q) = -6*f(q) + 33*m(q). Solve g(w) = 0.
-2, -1/4, 38
Let c(t) be the third derivative of t**5/60 - 7*t**4/24 + 2*t**3 + 8*t**2 + 83. Factor c(v).
(v - 4)*(v - 3)
Let m(r) = -r**2 - 2*r - 5. Let c(f) = 3*f**3 + 35*f**2 + 61*f + 49. Let h(k) = c(k) + 5*m(k). Factor h(p).
3*(p + 1)**2*(p + 8)
Suppose 7/6*f**2 + 6 - 67/6*f = 0. Calculate f.
4/7, 9
Solve 313*w**2 + 53*w**3 + 48 - 91*w**3 - 10*w - 178*w + 20*w**4 - 94*w**3 - 61*w**2 = 0 for w.
3/5, 1, 4
Let a = -63 - -389. Let d = 326 - a. Find p, given that -4/9*p**3 + 4/9*p**2 + 0 + d*p = 0.
0, 1
Let u(m) = 546*m - 81352. Let w be u(149). Suppose 3/2*s + 3/4*s**w - 6 = 0. What is s?
-4, 2
Let j be ((-55)/132)/((-10)/(-2) + 4050/(-720)). Factor -j*i + 11/3*i**2 + 0.
i*(11*i - 2)/3
Let l(q) = 8*q**2 + 2*q - 1. Let f be l(3). Determine w so that f*w**3 + 324*w**2 + 6*w**4 - 9*w**4 - 5*w**3 + 7*w**4 = 0.
-9, 0
Let j(o) = -8*o**2 - 4*o - 29. Let v(s) = 3*s**2 + s + 10. Let c(h) = -h**3 - 11*h**2 - 3*h - 22. Let f be c(-11). Let k(a) = f*v(a) + 4*j(a). Factor k(l).
(l - 6)*(l + 1)
Let v(u) = 4*u**2 - 641*u - 643. Let j be v(-1). Factor 0 + 3/8*o**5 - 33/8*o**4 + 27/2*o**j + 0*o + 9*o**3.
3*o**2*(o - 6)**2*(o + 1)/8
Let x(z) be the first derivative of 1/3*z**3 + 0*z + 53 - 17/2*z**2. Factor x(n).
n*(n - 17)
Suppose -22 = -42*c + 41*c. Find b, given that 13*b**4 + 4*b**3 - 7*b**4 + 12*b - 3*b**3 - 2*b**5 + 5*b**3 - c*b**2 = 0.
-2, 0, 1, 3
Let x(z) be the first derivative of -5*z**3/3 + 150*z**2 + 620*z - 1391. Determine d so that x(d) = 0.
-2, 62
Let w be -4 - 12/9*-3. Suppose -4*c + 3*z + 33 + w = 0, -28 = -3*c - z. Determine v so that -3 + 4*v**2 + 6*v**2 + c*v**2 - 16*v**2 = 0.
-1, 1
Suppose 51/2*u**3 + 99 - 1/4*u**4 - u - 297/4*u**2 = 0. Calculate u.
-1, 2, 99
Let w(c) be the third derivative of c**7/84 + 11*c**6/120 - 3*c**5/5 - 22*c**4/3 - 32*c**3/3 + 343*c**2. Factor w(r).
(r - 4)*(r + 4)**2*(5*r + 2)/2
Let o(p) be the second derivative of p**6/40 + p**5 - 7*p**4/2 + 35*p**3/2 + 3*p + 3. Let n(h) be the second derivative of o(h). Factor n(s).
3*(s + 14)*(3*s - 2)
Suppose 416 - 4216 = -10*x. Suppose -x = -10*r - 360. Factor 2/3 + 1/6*n**4 + 1/3*n**3 - 1/2*n**r - 2/3*n.
(n - 1)**2*(n + 2)**2/6
Let v(a) be the first derivative of 2*a**3/27 + 2260*a**2/3 + 2553800*a - 10563. Suppose v(m) = 0. Calculate m.
-3390
Let j(o) be the second derivative of o**6/90 + 2*o**5/3 - o**3/3 - 11*o**2 + 33*o. Let x(v) be the second derivative of j(v). Find g such that x(g) = 0.
-20, 0
Find f such that 0 - 408/11*f**2 - 6936/11*f - 6/11*f**3 = 0.
-34, 0
Let f be 2/(-11) + 46/11. What is n in -7*n**4 + 2*n**5 - 2*n**3 + 2*n**5 + 3*n**f - 2*n - 2*n**4 + 6*n**2 = 0?
-1, 0, 1/2, 1
Let o(q) = 2*q + 18. Let w be o(-8). What is t in 5*t - t - t - t**2 - 4*t + w = 0?
-2, 1
Let r(w) be the second derivative of w**7/21 + 11*w**6/15 + 39*w**5/10 + 41*w**4/6 - 32*w**3/3 - 60*w**2 - 2154*w. What is v in r(v) = 0?
-5, -3, -2, 1
Let c(u) = u**2 + 13*u + 6. Let s be c(-13). Let n be s/(-15) - (-160)/25. Factor -1 - n + 11 - 1 - 3*w**2.
-3*(w - 1)*(w + 1)
Let w = 16364 + -80141/5. Let z = -335 + w. Find x such that 8/5*x**2 - z*x + 0 = 0.
0, 1/2
Suppose 14*n + 144 - 4 = 0. Let a be ((-5)/n*-58)/(-1). Let 8*z - 87*z**3 - 42*z**4 - 1148*z**2 + 1140*z**2 + a*z**3 + 0*z = 0. Calculate z.
-1, -2/3, 0, 2/7
Let v be 4 + (1 - -32)/(798/(-76)). Factor -1/7*g**2 + 5/7*g + v.
-(g - 6)*(g + 1)/7
Let n(v) be the second derivative of -v**5/200 + 31*v**4/60 - 2*v**3 - 332*v + 5. Factor n(t).
-t*(t - 60)*(t - 2)/10
Let d(r) be the third derivative of r**6/540 - 113*r**5/90 + 2380*r**4/9 + 28900*r**3/27 - 5623*r**2. Factor d(q).
2*(q - 170)**2*(q + 1)/9
Let l(f) be the third derivative of -f**6/360 - f**5/24 - f**4/6 + 47*f**3/6 - 62*f**2. Let q(g) be the first derivative of l(g). Suppose q(s) = 0. Calculate s.
-4, -1
Let u(o) = -19*o + 688. Let s be u(36). Let z(n) be the second derivative of -11*n + 0*n**2 - 1/20*n**5 + 1/4*n**s - 1/3*n**3 + 0. Let z(h) = 0. What is h?
0, 1, 2
Let o(y) be the third derivative of -y**7/2016 - y**6/36 - 45*y**4/8 - 82*y**2. Let w(r) be the second derivative of o(r). Suppose w(t) = 0. What is t?
-16, 0
Let p = 58 + -61. Let j(q) = 596 + 100*q - 72 - 2*q**2 - 30. Let l(x) = x**2 - 33*x - 165. Let m(u) = p*j(u) - 8*l(u). Factor m(c).
-2*(c + 9)**2
Let g(f) be the third derivative of -1536*f**5/35 + 8