4*(m + 1)*(m + 6)/7
Let j(h) = -3*h**2 - 99*h + 102. Let x be j(-34). Let s be -9 + 14 - (x + (-46)/(-10)). Factor -3/5*f**2 - s*f - 1/5*f**3 + 0.
-f*(f + 1)*(f + 2)/5
Let h(a) be the first derivative of a**6/42 + 6*a**5/35 - 17*a**4/28 - 26*a**3/7 - 4*a**2 + 2886. Let h(u) = 0. Calculate u.
-7, -2, -1, 0, 4
Factor -131/2 - 1/4*z**2 + 133/4*z.
-(z - 131)*(z - 2)/4
Factor -24672*q**2 + 50725632*q + 7669787832 - 18339330445 - 24094423851 + 4*q**3.
4*(q - 2056)**3
Let g(m) be the first derivative of -2*m**5/45 - m**4 - 50*m**3/9 - 26*m**2/9 + 80*m/3 + 1263. Solve g(x) = 0.
-12, -5, -2, 1
Let b(w) be the third derivative of -w**5/12 - 275*w**4/12 - 1060*w**3/3 + 3*w**2 + 2*w + 24. What is c in b(c) = 0?
-106, -4
Let b(u) be the third derivative of -u**7/735 + 37*u**6/140 - 72*u**5/35 + 107*u**4/21 - 57*u**2. Factor b(a).
-2*a*(a - 107)*(a - 2)**2/7
Let p(z) be the second derivative of 31/27*z**3 + 0 - 1/108*z**4 + 73*z - 961/18*z**2. Suppose p(a) = 0. What is a?
31
Factor -56/3*d**3 - 52/3*d**2 - 4/3*d**4 + 0*d + 0.
-4*d**2*(d + 1)*(d + 13)/3
Find y such that -79*y + 3075*y**2 - 1026 - 3078*y**2 - 440*y = 0.
-171, -2
Let b be (-31)/(-1) - (-280)/(-56). Factor -30*s**3 + 80 + 27*s**3 - 5*s**4 + 135*s**2 - 164*s - 17*s**3 - b*s.
-5*(s - 2)*(s - 1)**2*(s + 8)
Let c = -6284744/481 - -13066. Let f = 1914/2405 + c. Factor f*z**4 + 0 + 0*z**3 - 4/5*z**2 + 0*z.
4*z**2*(z - 1)*(z + 1)/5
Let u(g) = g**3 + 3*g**2 + 21*g + 66. Let b be u(-3). Factor -2*v**2 - 16*v - 16 + 30*v**b - 8*v + v**2 - v**4 - 24*v**3.
-(v - 4)**2*(v + 1)**2
Suppose g = 7 - 2, 0 = 5*q + 5*g - 40. Let m = -122 - -124. Factor 6*r**4 - 90*r - 8*r**2 + m*r**2 + 87*r + q*r**5.
3*r*(r - 1)*(r + 1)**3
Suppose -25*h + 34 + 66 = 0. Determine g so that -3*g + 1514*g**2 - 1499*g**2 - 3*g - 3*g**h - 9*g**3 - g**5 + 4*g**5 = 0.
-2, 0, 1
Let u be 1794/34580 - 3/21 - (-4)/38. Let a(i) be the second derivative of -3*i + 0*i**4 + 0 + u*i**5 - 2/7*i**2 - 1/7*i**3. Factor a(s).
2*(s - 2)*(s + 1)**2/7
Let h(v) be the second derivative of 49*v**6/10 - 18291*v**5/20 - 874*v**4 - 250*v**3 - 1359*v. Factor h(s).
3*s*(s - 125)*(7*s + 2)**2
Let r be 2 + ((-10)/((-10)/2) - -2). Let h = 2 - 0. Find l, given that r*l + 21*l**3 + 15*l**2 - 2*l**2 - 8*l**h + 6*l**4 + 16*l**2 = 0.
-2, -1, -1/2, 0
Let w(j) = -2*j + 19. Let n be 5 - (-2 - -1)/(1/2). Let d be w(n). Suppose -4*k**5 - 4*k**3 + 3*k**3 + d*k**3 = 0. Calculate k.
-1, 0, 1
Let d(y) be the third derivative of y**5/180 - 1007*y**4/36 - 206*y**2 + 11. Factor d(j).
j*(j - 2014)/3
Let h(u) be the second derivative of 1/18*u**4 + 1/3*u**2 + 0 - 10/27*u**3 - 37*u. Factor h(i).
2*(i - 3)*(3*i - 1)/9
Suppose 135*g - 140*g = -20. Suppose -3*o + 12 = -g*c, -20 = -4*c - 2*o - 3*o. Let -2/7*q**5 + 0*q**4 + 0*q + 0*q**2 + c + 0*q**3 = 0. Calculate q.
0
Let x(w) = 20*w + 38. Let z be x(-2). Let g be 6*(46/(-69))/(z - 0). Solve -4/5 - 6*l**4 - 102/5*l**g + 94/5*l**3 + 42/5*l = 0.
2/15, 1
Let s be 12/(-54) + 58/18. Suppose 0 = 13*b + 53 - 118. What is r in -3*r + 0 - s*r**2 + 2*r**2 + 8 + b*r = 0?
-2, 4
Let i(s) = s**3 + 27*s**2 - 29*s - 63. Let d be i(-28). Let t be 15/d - (-527)/119. Let t - 4/3*c**2 - 8/3*c = 0. Calculate c.
-3, 1
Let h = -913009 - -8217083/9. Factor 112/9*f - 1568/9 - h*f**2.
-2*(f - 28)**2/9
Let m = 476373/7 - 68051. Factor m*z - 32/7 - 2/7*z**2.
-2*(z - 4)**2/7
What is x in -8/11*x**4 + 16/11*x + 0 - 2/11*x**5 + 6/11*x**3 + 28/11*x**2 = 0?
-4, -1, 0, 2
Let o(b) be the second derivative of b**5/150 - b**4/2 + 15*b**3 - 43*b**2/2 + 66*b. Let l(c) be the first derivative of o(c). Factor l(h).
2*(h - 15)**2/5
Let t(k) be the third derivative of -k**6/30 - 6*k**5/5 - 17*k**4/6 - 6457*k**2. Find o, given that t(o) = 0.
-17, -1, 0
Let m(y) be the third derivative of 23/540*y**6 + 0*y**4 + 15*y**2 + 0*y**3 - 1/27*y**5 + 0*y + 1/189*y**7 + 0. Find a, given that m(a) = 0.
-5, 0, 2/5
Let f be 87/(-290)*(-150)/108. Let z(b) be the first derivative of -1/2*b - f*b**3 - 11/8*b**2 - 10. Factor z(t).
-(t + 2)*(5*t + 1)/4
Suppose 111 = 7*r + 6. Let b(p) = -2*p**4 - p**2 + p + 1. Let n(h) = -h**4 - h**3 - 20*h**2 - 8*h + 3. Let y(l) = r*b(l) - 5*n(l). Determine d so that y(d) = 0.
-1, 0, 11/5
Find p, given that -243*p - 582*p - 9*p**2 + 5*p**2 + 3*p**2 - 4*p**2 = 0.
-165, 0
Let u(w) be the first derivative of 5*w**4/24 - 25*w**3/4 - 20*w**2 - 48*w - 57. Let o(y) be the first derivative of u(y). Factor o(d).
5*(d - 16)*(d + 1)/2
Let v(n) be the second derivative of 13*n**4 - 8*n**2 + 109/10*n**5 - 102 - 2*n + 7/3*n**6 - 4/3*n**3. Find y, given that v(y) = 0.
-2, -1, -2/5, 2/7
Let m(r) = 4*r**2 - 216*r + 461. Let o(w) = -2*w**2 - 4*w + 1. Let t(a) = -2*m(a) - 6*o(a). Factor t(y).
4*(y - 2)*(y + 116)
Let v = -53/4643 - -37303/13929. Let x(g) = g**3 - 3*g**2 + 2*g + 2. Let p be x(2). Determine z so that v*z**p + 0 + 4/9*z + 35/9*z**3 = 0.
-2/5, -2/7, 0
Let g be (-1539)/135 + 48/4. Factor 0 - g*l**3 + 0*l + 1/5*l**2 + 2/5*l**4.
l**2*(l - 1)*(2*l - 1)/5
Let w be (-1)/(3/(-12) + (-54)/(-504)). Let y(s) be the second derivative of 1/50*s**5 + 0 + 0*s**3 + 0*s**2 + w*s + 1/30*s**4. Suppose y(r) = 0. What is r?
-1, 0
Suppose 4*d = -4*q + 48, -q - 4*q = -4*d + 66. Determine l so that -15*l**2 + 40*l**4 - 35*l**4 + 5*l**3 - d - 25*l + 4 = 0.
-1, 2
Let d be (0 - 1)/((-10)/50). Suppose -26*o - 330 = -48*o. Let -10/3*m - 5/3*m**d - 35/3*m**2 - o*m**3 - 25/3*m**4 + 0 = 0. Calculate m.
-2, -1, 0
Let x = -90719/90 + 1008. Let g(r) be the second derivative of 0 - 4/27*r**3 - 2/27*r**4 - x*r**5 + 5*r + 0*r**2. Factor g(j).
-2*j*(j + 2)**2/9
Let p(k) = 3*k**2 + 6*k - 12. Let l be p(-7). Suppose -10 - l = -4*w - z, -5*w + 133 = -3*z. Let 19*x + 14*x + 2 + 5*x**2 - w*x = 0. Calculate x.
-1, -2/5
Let h(j) be the third derivative of j**8/4032 + j**7/1008 - j**6/12 + 77*j**5/60 - 115*j**2. Let p(l) be the third derivative of h(l). Solve p(v) = 0.
-4, 3
Let h be (180/216)/((-12)/(-72)). Let b(f) be the third derivative of 1/360*f**h + 1/72*f**4 + 0*f + 0 - 34*f**2 + 1/36*f**3. Factor b(i).
(i + 1)**2/6
Let s(i) = 2*i**3 - 3966*i**2 - 1968134*i + 1972126. Let r(v) = -v**3 - v**2 + 2*v - 7. Let o(f) = 4*r(f) + s(f). Solve o(m) = 0 for m.
-993, 1
Find p, given that 3318*p - 862*p - 15*p**2 + 19*p**2 + 66 + 3327 + 3939 = 0.
-611, -3
Let -352 + 375*u - 73*u**2 - 251 + 74*u**2 + 284 - 435 = 0. What is u?
-377, 2
Factor 36/11 + 34/11*g**2 - 310/11*g.
2*(g - 9)*(17*g - 2)/11
Factor -1/3*u**3 + 0 - 238/3*u**2 + 0*u.
-u**2*(u + 238)/3
Let y(x) be the third derivative of -x**9/68040 + x**8/30240 + x**4/24 + 11*x**3/2 - 36*x**2 - 2*x. Let p(v) be the second derivative of y(v). Factor p(g).
-2*g**3*(g - 1)/9
Let v(r) be the second derivative of -r**6/10 + 78*r**5/5 - 2487*r**4/4 - 5670*r**3 - 13122*r**2 - 2*r - 4385. Factor v(f).
-3*(f - 54)**2*(f + 1)*(f + 3)
Let p be 9*(-475)/171 + (-145)/(-4). Solve 1/4*a**2 + 0 + p*a = 0 for a.
-45, 0
Suppose 781*t - 52 - 2512 = 25*t - 526*t. Let 0 + 5*p + 4*p**3 - 17/2*p**t - 1/2*p**4 = 0. Calculate p.
0, 1, 2, 5
Let m be 0 - 5 - ((-55)/(-44) - 539/84). Let n(v) be the third derivative of -5/6*v**3 + m*v**4 + 0 + 2*v**2 + 1/60*v**5 + 0*v. Factor n(y).
(y - 1)*(y + 5)
Find x, given that -58*x - 38*x - 12 - x**2 - 83 = 0.
-95, -1
Suppose 20*g - 21*g + 9 = 0. Let f be (-32)/(-18) - (-2)/g. Factor 0*t**2 - 11*t**3 + 2*t**f + 0*t**2 + 12*t**3.
t**2*(t + 2)
Let l = 103 - 129. Let t = l + 122. What is c in 12*c**4 - 37*c**3 - 47*c**3 + 4*c**2 + 4*c**5 + t*c**3 = 0?
-1, 0
Let l(x) be the third derivative of x**8/420 + 253*x**7/525 + 8059*x**6/300 + 3341*x**5/150 - 6531*x**4/20 + 2646*x**3/5 - 11*x**2 - 11. Solve l(j) = 0 for j.
-63, -2, 1/2, 1
Let f(g) = -9*g**4 + 110*g**3 - 342*g**2 + 322*g - 2. Let m(h) = 200*h**4 - 2425*h**3 + 7525*h**2 - 7085*h + 45. Let k(q) = -45*f(q) - 2*m(q). Factor k(t).
5*t*(t - 16)*(t - 2)**2
Let b = -100 + 242. Factor 36*k**2 - 18*k**4 - k**5 + b*k**3 - 154*k**3 - 3*k**5 - 2*k**4.
-4*k**2*(k - 1)*(k + 3)**2
Suppose -16*x - 31 + 95 = 0. Factor 70*b**2 + 3*b + 12*b**3 - 20*b**x - 35*b + 10*b**2 - 4*b**3.
-4*b*(b - 2)*(b + 2)*(5*b - 2)
Let k(r) = 7*r**3 - 1608*r**2 - 3233*r - 1618. Let p(a) = 71*a**3 - 16079*a**2 - 32329*a - 16179. Let l(u) = 21*k(u) - 2*p(u). Determine c, given that l(c) = 0.
-1, 324
Let g = -148 - -156. Factor 10*q**2 - 40 + g*q**