g(d) = q*x(d) + 44*y(d). Factor g(p).
-4*(p - 11)*(4*p - 1)
Let s(z) be the second derivative of -2*z**7/21 - 4*z**6/15 + 4*z**5/5 + 8*z**4/3 + 1071*z. Factor s(n).
-4*n**2*(n - 2)*(n + 2)**2
Suppose -g = 8*g + 52*g. Factor g + 39/7*h**4 - 3/7*h**2 + 15/7*h**5 + 27/7*h**3 - 6/7*h.
3*h*(h + 1)**3*(5*h - 2)/7
Let b be -2 - -7 - (-3)/9*-3. Suppose -4*f + 3*j + 6 = -8, 2*j = f - 6. Let 40*v**f + b*v**5 + 20*v**4 + 4 + 36*v**3 - 2*v**3 + 6*v**3 + 20*v = 0. What is v?
-1
Suppose 216/7*o**4 + 440/7 + 232/7*o**3 - 228/7*o - 656/7*o**2 - 4/7*o**5 = 0. Calculate o.
-2, -1, 1, 55
Let s(j) be the third derivative of -j**5/15 + 14*j**4/3 + 110*j**3 + 2*j**2 + 181*j. Solve s(m) = 0 for m.
-5, 33
Let k(v) be the first derivative of 33/2*v**2 - 4 - 18*v - 6*v**3 + 3/4*v**4. What is p in k(p) = 0?
1, 2, 3
Let q(j) be the second derivative of 0*j**2 - 2/5*j**5 + 2/5*j**6 - 16/3*j**3 - 4*j**4 + 3*j + 2/21*j**7 - 28. Let q(z) = 0. What is z?
-2, -1, 0, 2
Let d be (-3)/(-14) - 50/(-175). Suppose 30*b + 6 = 33*b. Factor 0*p - 1/4 - 1/4*p**4 + d*p**b + 0*p**3.
-(p - 1)**2*(p + 1)**2/4
Let x be (6/9)/((-32)/(-48)). Let m(k) = 61*k**4 + 254*k**3 + 159*k**2 - 30*k + 4. Let p(s) = s**4 - s**3 - s**2 - 1. Let i(o) = x*m(o) + 4*p(o). Factor i(z).
5*z*(z + 1)*(z + 3)*(13*z - 2)
Let -5*b**5 + 80*b**4 - 10576*b**2 + 25*b**3 + 10756*b**2 - 280*b**3 = 0. Calculate b.
0, 1, 3, 12
Suppose -4*c + 3*g + 389 = c, 2*c = -4*g + 166. Determine v so that -41 - 10*v**4 - 62*v**2 + 1 + 75*v**3 - 60*v + 33*v**2 + c*v**2 - 15*v**5 = 0.
-2, -1, -2/3, 1, 2
Factor -2/7*z**2 - 35912/7 + 536/7*z.
-2*(z - 134)**2/7
Let i(w) be the first derivative of 2*w**3/45 + 107*w**2 - 3212*w/15 + 935. Factor i(q).
2*(q - 1)*(q + 1606)/15
Let q(a) be the first derivative of -34/7*a - 125 - 10/7*a**3 - 1/14*a**4 + 33/7*a**2. Suppose q(r) = 0. Calculate r.
-17, 1
Let d = 2596/9 - 12836/45. Determine j so that -12/5*j**3 - d*j**2 + 28*j + 48/5 = 0.
-4, -1/3, 3
Let c(z) = z**4 + z**3 - z. Let l(m) be the first derivative of -m**5 - 3*m**4/2 - m**3 + 4*m**2 - 92. Let h(v) = 6*c(v) + l(v). Find d, given that h(d) = 0.
-2, 0, 1
Suppose -33*y = -78685 + 78619. Factor -5/6 - 1/6*l**y - l.
-(l + 1)*(l + 5)/6
Factor 385949 - 6*o**3 + 2*o - 385949 + 2*o**5 + o**4 + o**2.
o*(o - 1)**2*(o + 2)*(2*o + 1)
Let x(d) be the third derivative of -7*d + 2/165*d**5 + 0*d**4 + d**2 + 0*d**3 - 1/231*d**7 - 2/165*d**6 + 0. Factor x(r).
-2*r**2*(r + 2)*(5*r - 2)/11
Let k = 3983511/829895 - 3/165979. Factor -16/5*o - 2/5*o**2 + 2/5*o**3 + k.
2*(o - 2)**2*(o + 3)/5
Let v(u) be the first derivative of -u**4/14 + 46*u**3/21 + u**2/7 - 46*u/7 + 2028. Let v(t) = 0. What is t?
-1, 1, 23
Let j be 218/(-66) - 6*4/72. Let h = -47/22 - j. Suppose 3/2*c**3 + h*c**2 + 0 + 0*c = 0. What is c?
-1, 0
Let y(c) = -8*c. Let d be y(1). Let j be (d/(-6))/((-11)/(-33)). Factor -4*r**5 - 5*r**4 + 4*r**j - 3*r**4.
-4*r**4*(r + 1)
Let f(t) be the first derivative of -2*t**5/5 + 7*t**4/2 + 6*t**3 - 7*t**2 - 16*t + 1296. Factor f(x).
-2*(x - 8)*(x - 1)*(x + 1)**2
Let a(x) = 31*x**2 - 85*x - 1067. Let h(g) = -3*g**2 - 3*g + 1. Let o(j) = -a(j) - 11*h(j). Suppose o(m) = 0. Calculate m.
-48, -11
Let v(o) = -55*o**2 + 10. Let a(t) = -6*t**2 + t. Let q(w) = -45*a(w) + 5*v(w). Factor q(j).
-5*(j - 1)*(j + 10)
Let k(f) = 3*f**2 - 9*f - 3. Let v be k(4). Let j be 54/v*3*1. Find x such that -2*x**3 + 0*x**3 + 12*x**2 - j - 3*x - 4*x**3 + 3*x**3 = 0.
-1, 2, 3
Factor -229/2*x - 52441/4 - 1/4*x**2.
-(x + 229)**2/4
Let v(r) be the second derivative of r**6/72 - 19*r**5/24 - 25*r**4/6 + r**3/3 + 8*r**2 - 75*r. Let c(s) be the second derivative of v(s). Factor c(p).
5*(p - 20)*(p + 1)
Let y(b) be the second derivative of 0*b**2 - 1/40*b**5 - 1/8*b**4 - 5 - 1/6*b**3 + 9*b. Factor y(w).
-w*(w + 1)*(w + 2)/2
Let w be ((-21)/35)/(2/(-10)) + -3. Suppose -5*m + 3*n + 190 = w, 2*n = 7*n. Solve 9*f**5 + 3 + 9 + 60*f**2 - 6*f**5 - m*f**3 - 45*f + 8*f**3 = 0 for f.
-4, 1
Let t be (1890/2808)/(1/(-2)). Let p = -79/78 - t. Factor -2/3 + h**4 - p*h**3 + 3*h - 3*h**2.
(h - 1)**2*(h + 2)*(3*h - 1)/3
Factor 115*z**3 - 196 - 4944*z**2 - 13*z**3 - 479 + 90*z**3 + 3125*z + 502*z.
3*(z - 25)*(8*z - 3)**2
Let v = -353 - -355. Let s be v/(-9) + 12/(-216)*-4. Factor s + i + 1/3*i**2.
i*(i + 3)/3
Let a = 32318 - 32312. Let y(t) be the third derivative of 25*t**2 - 49/40*t**5 + 7/40*t**a + 0 + 0*t**3 + 0*t**4 - 1/140*t**7 + 0*t. Factor y(d).
-3*d**2*(d - 7)**2/2
Suppose 246 = 2*r + 226. Suppose 16 + 4 = r*d. Determine f, given that -2/7*f**d + 2/7 - 2/7*f + 2/7*f**3 = 0.
-1, 1
Suppose 4*w + 4*j + 4 = 0, -2*w + 7 = -0*j - j. Let y = -58580 + 527222/9. Determine k, given that 4/9*k**w - y*k**5 + 2/9*k + 0*k**3 - 4/9*k**4 + 0 = 0.
-1, 0, 1
Suppose 0 = r - 2*m - 5, 5*r + 2*m = -2*m + 25. Factor v**r - 70*v**2 + 4*v**5 - 30*v**3 - 182 + 5*v**4 - 55*v + 167.
5*(v - 3)*(v + 1)**4
Let p be ((-4)/(-6))/(-4 + 248036/62028). Let c = -544 - p. Factor c*x**3 + 2/19*x + 0 - 4/19*x**2.
2*x*(x - 1)**2/19
Let j(l) be the second derivative of -l**7/4200 - l**6/900 + l**5/200 + 149*l**3/6 + 159*l. Let z(g) be the second derivative of j(g). Factor z(r).
-r*(r - 1)*(r + 3)/5
Let v(m) be the second derivative of -m**5/4 + 20*m**4 + 10*m**3/3 - 480*m**2 - 2838*m. Suppose v(p) = 0. What is p?
-2, 2, 48
Let w(r) = r**2 + 278*r + 4192. Let i be w(-16). Find u, given that -1/2*u**2 + 0 - 13/4*u**3 + i*u = 0.
-2/13, 0
Find x such that -81348*x**3 + 82*x**2 + 13*x**2 - 206 - 169 + 81353*x**3 + 275*x = 0.
-15, -5, 1
Let v(k) be the first derivative of -5*k**3/3 - 115*k**2 - 645*k + 1013. What is w in v(w) = 0?
-43, -3
Let t(m) be the first derivative of -m**7/42 + 2*m**6/15 - m**5/10 - m**4/3 + m**3/2 + 74*m - 48. Let s(r) be the first derivative of t(r). Factor s(q).
-q*(q - 3)*(q - 1)**2*(q + 1)
Let b(p) = p**3 + 3*p**2 - 18*p - 52. Let n be b(-4). Factor -80*j**3 + n*j - 4*j - 995*j**2 + 5*j**5 + 895*j**2 - 2*j**4 - 3*j**4.
5*j**2*(j - 5)*(j + 2)**2
Determine s so that -121*s**3 - 240 + 224*s + 34*s**3 + 83*s**3 - 44*s**2 = 0.
-15, 2
Suppose 9*c = 11*c + 5*n - 317, 5*n = 4*c - 589. Let m be 2/13 + c/(-13741). Factor -m*z**2 + 0*z + 0.
-z**2/7
Let c be (-22)/(-10) - (-24)/(-120). Solve -1104 + 1104 - c*i**2 + 13*i + 3*i**2 = 0.
-13, 0
Suppose -7*f + 3*f - 1736 = 0. Let b = -302 - f. What is l in -2*l**5 - 2*l**2 - 130*l**4 + 0*l**2 + 2*l**3 + b*l**4 = 0?
-1, 0, 1
Let f(q) be the first derivative of -223*q**3 - 40 + 1423*q**3 + 361 + 6750*q**2 + 10329*q + 80*q**4 + 6546*q. Factor f(m).
5*(4*m + 15)**3
Let i be (-24 - 5985/(-252))*(-4)/9. Factor i*g**3 + 2/9*g**2 - 2/3 - 5/9*g.
(g - 2)*(g + 1)*(g + 3)/9
Suppose y + 3 = -2*g, -4*g = -0*y - 5*y + 27. Factor 8 - 8*h + 3*h**3 - 7*h**y + 20*h**2 - 40.
-4*(h - 4)*(h - 2)*(h + 1)
What is f in 280*f + 7*f**3 - 28*f**2 - 13*f**2 - 284 + 3*f**3 - 11*f**3 - 26*f**2 = 0?
-71, 2
Let q(o) be the second derivative of -1/84*o**7 + 7/40*o**5 + 0*o**3 + 0 - 1/6*o**4 - 1/30*o**6 + 0*o**2 + 69*o. Suppose q(w) = 0. Calculate w.
-4, 0, 1
Suppose -2*p = -4*f - 6, -4*p - 254 = f - 284. Factor -14/9*q**f + 20/9 + 22/3*q.
-2*(q - 5)*(7*q + 2)/9
Let g = 1/13794 - -13787/96558. Let x be 6/(-10) + 46/35. Factor 0 + x*u**3 - u**2 + 3/7*u - g*u**4.
-u*(u - 3)*(u - 1)**2/7
Let g = 8/421 - -397/1263. Let n(f) be the first derivative of 7 - 1/9*f**3 - g*f - 1/3*f**2. Let n(z) = 0. Calculate z.
-1
Let c(k) = 3*k**2 + 100*k + 99. Let o be c(-1). Suppose 0*r = -5*t - 3*r + 24, -5*t + 2*r + 34 = 0. Factor 8*y**4 - y - 3*y**2 - 5*y**o + 2*y**5 + t*y**3 - 7*y.
2*y*(y - 1)*(y + 1)*(y + 2)**2
Let z = 15 + -14. Let b(a) be the first derivative of -2*a**2 + 8 + 4*a**4 - 3*a**4 + z + 2. Factor b(o).
4*o*(o - 1)*(o + 1)
Let y be (75/120)/(-5) - (-2)/16. Let h be (3/(-4))/(3/(-8)). Factor 8/3*n + y + 8/3*n**h + 2/3*n**3.
2*n*(n + 2)**2/3
Let y(q) be the first derivative of -q**3/9 + 98*q**2 - 28812*q + 714. Factor y(d).
-(d - 294)**2/3
Determine u so that 1/2*u**3 + 14*u**2 + 109/2*u - 69 = 0.
-23, -6, 1
Let -56/5 + 44/5*h + 20*h**2 = 0. Calculate h.
-1, 14/25
Let v(h) be the first derivative of h**3/8 + 93*h**2/16 - 135*h/2 + 1452. Find s, given that v(s) = 0.
-36, 5
Let o(t) be the first derivative of 4*t**5/5 + 11*t**4 + 12*t**3 - 22*t**2 - 40*t + 139. Factor o(f).
4*(f - 1)*(f + 1)**2*(f + 10)
Suppose -4*s + 93 = 29.