*(l + 2)/5
Suppose 148*c = 155*c - 42. Let n be ((-90)/(-35))/c*28/8. Factor 1/4 + 1/4*s**4 - s - s**3 + n*s**2.
(s - 1)**4/4
Suppose -11*o = -9*o - 10. Suppose 32 = -o*h + 77. Solve -8*d**4 - h*d**3 - 3*d + 12*d**5 + 15*d**2 - 3*d**4 - 4*d**4 = 0.
-1, 0, 1/4, 1
Let x(t) = -6*t**2 + 123*t - 126. Let c(j) = -4 - 15*j + 3*j**2 - 37*j - 10*j + 46 + 21. Let w(r) = -9*c(r) - 4*x(r). Find v such that w(v) = 0.
1, 21
Let u(c) be the second derivative of -c**6/240 - c**5/80 + c**4/8 + 5*c**3/6 + 2*c**2 - 9255*c. Factor u(g).
-(g - 4)*(g + 2)**3/8
Let p(n) = 384*n + 15747. Let y be p(-41). Factor 3*o**y - 1/2*o**4 - 6*o**2 + 5*o - 3/2.
-(o - 3)*(o - 1)**3/2
Let k(y) = 10*y**4 - 132*y**3 + 153*y**2 + 217*y - 69. Let m(v) = -v**4 - v**3 - v**2 + v - 1. Let n(r) = k(r) + 3*m(r). Determine a so that n(a) = 0.
-1, 2/7, 2, 18
Let z(c) be the second derivative of 1/3*c**3 - 4*c**2 + 5*c + 1/180*c**5 - 7/72*c**4 + 0. Let a(f) be the first derivative of z(f). Find s such that a(s) = 0.
1, 6
Let a(g) be the first derivative of 1/3*g**4 - 16/9*g**3 + 22 + 0*g + 2*g**2. Factor a(j).
4*j*(j - 3)*(j - 1)/3
Let c(q) be the second derivative of 9*q**5/40 - 55*q**4/16 + 93*q**3/8 - 21*q**2/4 + 9092*q. Find m such that c(m) = 0.
1/6, 2, 7
Let w(c) be the first derivative of -c**5/15 + 4*c**3/3 - 8*c**2/3 + 1236. Factor w(g).
-g*(g - 2)**2*(g + 4)/3
Let u(q) be the second derivative of -q**4/20 + 163*q**3/15 - 108*q**2/5 - 913*q. Factor u(c).
-(c - 108)*(3*c - 2)/5
Let r(t) be the third derivative of 3*t**6/320 + t**5/40 - 167*t**4/64 - 7*t**3/2 - t**2 - 13*t - 1. Solve r(o) = 0 for o.
-8, -1/3, 7
Let t(x) be the first derivative of -8*x**6/3 - 596*x**5/5 - 170*x**4 + 1460*x**3/3 + 348*x**2 - 864*x + 4835. Let t(v) = 0. What is v?
-36, -2, -1, 3/4, 1
Determine y so that -2/7*y**3 + 508/7 - 1018/7*y + 512/7*y**2 = 0.
1, 254
Suppose 0 = 14*j - 3*j - 143. Let v = 18 - j. Factor 0*w**4 + 4*w**v + 5*w**2 - 3*w**2 + 0*w**5 - 6*w**4.
2*w**2*(w - 1)**2*(2*w + 1)
Let j(h) be the first derivative of 4*h**3/27 + 68*h**2/9 + 580*h/9 - 4134. Factor j(l).
4*(l + 5)*(l + 29)/9
Let g = -5834/3 + 1946. Factor -12 - 32/3*x + g*x**2.
4*(x - 9)*(x + 1)/3
Factor -296/11*f**3 + 10952/11*f**2 + 0 + 2/11*f**4 + 0*f.
2*f**2*(f - 74)**2/11
Let o be 1 - (1 + 1 - 3). Suppose -o + 14 = 3*z. What is y in z*y**3 + 6*y**4 + 12*y**2 - 5*y**4 - 4*y - 8 - 4*y**4 - y**4 = 0?
-1, 1, 2
Let q be 1 - ((105/(-49))/(3/(-7)) - 7). Factor 0 - 80/17*t**2 - 50/17*t - 12/17*t**q + 16/17*t**4 - 2/17*t**5.
-2*t*(t - 5)**2*(t + 1)**2/17
Let i be 6/((-180)/(-15))*(-2 + 2). Let f(r) be the second derivative of 1/20*r**4 - 3/5*r**2 - 1/10*r**3 + i - 4*r. Factor f(w).
3*(w - 2)*(w + 1)/5
Let v(k) be the first derivative of -2*k**3 - 113 - 12*k - 99/4*k**2. Factor v(l).
-3*(l + 8)*(4*l + 1)/2
What is x in -2/3*x**5 + 0 + 113/3*x**3 + 35*x + 67/3*x**4 - 283/3*x**2 = 0?
-3, 0, 1/2, 1, 35
Suppose -u + 12 = 2*s - 22, 4 = 4*s. Let f be 32/6 - (-6 + u/4). Suppose -4 + f*b + 2/3*b**2 = 0. What is b?
-6, 1
Let k(u) be the second derivative of 159/10*u**5 - 31/10*u**6 + 16*u**3 + 0*u**2 + 3/14*u**7 + 14*u - 32*u**4 + 0. Solve k(p) = 0 for p.
0, 1/3, 2, 4
Let s(z) = 23*z - 35*z + 28 + 3*z - 5*z**2 + z**3 + 6*z. Let w be s(4). Suppose -4/3*a**2 - 2*a + w + 2/3*a**3 = 0. Calculate a.
-1, 0, 3
Suppose 3*y - 8 = -4*c, 0 = 13*c - 11*c - 4*y - 26. Let a be (-2)/(-3) + 4/3. Suppose c - 60*i - a + 0 - 21*i**3 + 21 + 54*i**2 + 3*i**4 = 0. What is i?
1, 2
Let b(d) be the first derivative of 529*d**5/5 - 437*d**4/4 - 88*d**3/3 - 2*d**2 + 8377. Find z such that b(z) = 0.
-2/23, 0, 1
Let d(c) be the second derivative of -1/6*c**4 + 2/3*c**2 - 1/30*c**5 + 0 + 1/45*c**6 - 10*c + 1/9*c**3. Suppose d(m) = 0. Calculate m.
-1, 1, 2
Let c(a) = -a**3 - 3*a**2 - 4*a - 10. Let s(n) = -180 + n**3 - 6*n**2 + 90 - 3*n**3 + 81 - 4*n. Let j(w) = 3*c(w) - 2*s(w). Solve j(b) = 0 for b.
-3, -2, 2
Factor -8*x**3 + 438*x - 345 - 5*x**4 + 122*x - 90*x**2 - 112*x**3.
-5*(x - 1)**2*(x + 3)*(x + 23)
Let c(d) be the third derivative of -d**8/131040 - d**7/2340 - d**5/20 - 3*d**3 - 5*d**2 + d. Let a(g) be the third derivative of c(g). Let a(m) = 0. What is m?
-14, 0
Let w be 36288/3680 - (-14 - (-3280)/230). Solve 4*x**2 + w + 2/5*x**3 + 56/5*x = 0.
-6, -2
Suppose 29*y**3 + 2*y**5 + 112*y**3 + 196*y**2 + 10*y**4 + 190*y**3 - 177*y**3 + 22*y**4 = 0. What is y?
-7, -2, 0
Let a(w) be the second derivative of 49/150*w**5 + 1/315*w**7 + 66 + 0*w**3 + 0*w**2 + 14/225*w**6 - w + 0*w**4. Factor a(r).
2*r**3*(r + 7)**2/15
Let u(t) be the second derivative of -3*t**5/80 - 5*t**4 - 1813*t**3/8 - 12321*t**2/4 + 2*t - 602. Find p, given that u(p) = 0.
-37, -6
Solve 54*n + 2/17*n**2 + 1828/17 = 0 for n.
-457, -2
Let h(d) = d**2 - 22*d - 34. Let s be h(24). Suppose 12 = -c + s. Determine v, given that -9 - 30*v + 27*v**3 + 15*v**c - 15*v**3 + 12*v**2 = 0.
-3, -1/4, 1
Solve 126*b**2 + 210 + 239*b**2 - 285*b**2 - 1135*b = 0 for b.
3/16, 14
Suppose 5*v = 21 + 4. Let -10960*x**3 + 26 + 1755*x**2 + 13431*x**4 + 2230*x**2 - 1566*x**4 - 500*x - 4410*x**v - 6 = 0. What is x?
2/21, 1/2, 1
Let b(y) be the first derivative of 10 + 1/42*y**4 + 1/70*y**5 + 0*y**3 + 0*y**2 - 9*y. Let i(d) be the first derivative of b(d). Solve i(w) = 0.
-1, 0
Let l be (42/(-35))/((-621)/210 + 3). Let t be 16/42*6 + 8/l. Factor 630*w**3 + 239*w**2 + 180*w + 245*w**4 + 199*w**2 + 20 + 107*w**t.
5*(w + 1)**2*(7*w + 2)**2
Let o(a) be the third derivative of -a**8/40320 + a**7/2016 + a**6/240 + 113*a**5/60 + 9*a**2 + 4*a. Let r(b) be the third derivative of o(b). Factor r(p).
-(p - 6)*(p + 1)/2
Let n be (-533)/(-1312)*32 - 11. Factor -26/9*s + 2/9*s**3 + 0 + 8/3*s**n.
2*s*(s - 1)*(s + 13)/9
Let l(o) be the third derivative of -14/15*o**3 - 13/60*o**4 + 1/150*o**5 + 5*o**2 - 2*o + 0. What is j in l(j) = 0?
-1, 14
Let o(x) be the third derivative of 21/100*x**6 - 24/5*x**3 + 7/5*x**4 + 40*x**2 + 1/105*x**7 + 0*x + 0 + 107/75*x**5. Suppose o(q) = 0. Calculate q.
-6, -1, 2/5
Let l(g) = -4*g**3 - 98*g**2 + 3883*g - 46656. Let t(z) = 100*z - z**3 + 2*z**2 - 206*z + 105*z. Let a(x) = -l(x) + 5*t(x). Factor a(q).
-(q - 36)**3
Let k = -55583 - -166751/3. Find u, given that 0 + k*u**2 + 4/9*u + 2/9*u**3 = 0.
-2, -1, 0
Let m(z) = 80*z**3 + 440*z**2 - 1469*z + 994. Let s(i) = 480*i**3 + 2640*i**2 - 8815*i + 5965. Let g(q) = 35*m(q) - 6*s(q). Suppose g(a) = 0. Calculate a.
-8, 5/4
Let u(j) be the second derivative of j**6/90 - 14*j**5/15 + 98*j**4/3 - 143*j**3/6 - 5*j + 3. Let a(t) be the second derivative of u(t). Factor a(b).
4*(b - 14)**2
Suppose 0 = -2*t - 5*g - 9, 0*t - 29 = -3*t + g. Let c be (-451)/(-88) + (-3)/t. Factor -1 - c*l**3 - 1/4*l**5 - 4*l - 7/4*l**4 - 25/4*l**2.
-(l + 1)**3*(l + 2)**2/4
Let l(g) be the second derivative of -g**4/12 + 983*g**3/3 - 966289*g**2/2 + 555*g. Factor l(n).
-(n - 983)**2
Let c(y) = y**3 - y**2 + 1. Let a = 19 - 18. Let d(n) be the third derivative of n**5/20 - n**4/12 + n**3/3 - 2*n**2. Let k(p) = a*d(p) - 2*c(p). Factor k(m).
-m*(m - 2)*(2*m - 1)
Let j(t) be the second derivative of 0*t**3 + t + 4*t**4 - 53/30*t**6 - 1/6*t**7 - 6 + 0*t**2 - 22/5*t**5. Find r, given that j(r) = 0.
-4, 0, 3/7
Let s be 6603/355 - 4/(-10). Suppose s*b - 28 - 67 = 0. Factor -1/2*y**3 + 1/2*y**2 + 1/4*y + 1/4*y**b - 1/4 - 1/4*y**4.
(y - 1)**3*(y + 1)**2/4
Let x(z) be the third derivative of z**8/756 - 2*z**7/21 + 25*z**6/54 + z**5/3 - 7*z**4/3 + 2*z**2 + 1834*z - 1. Find b such that x(b) = 0.
-1, 0, 1, 3, 42
Let s(p) be the first derivative of 19/9*p**2 - 2/27*p**3 - 50 + 0*p. Find a, given that s(a) = 0.
0, 19
Let x = -85 - -100. Let i(l) = 3*l**2 + 3. Let s be i(-3). Factor -20*r + 23*r**2 + x - s*r**2 + 12*r**2.
5*(r - 3)*(r - 1)
Let h(r) be the second derivative of -r**7/210 + 14*r**6/75 - 13*r**5/50 - 7*r**4/15 + 9*r**3/10 - 10*r + 107. Let h(o) = 0. What is o?
-1, 0, 1, 27
Let r(w) be the third derivative of w**6/60 + 183*w**5/10 + 6302*w**4 + 75076*w**3/3 + 3*w**2 + 12. Factor r(f).
2*(f + 1)*(f + 274)**2
Let n(i) = -57*i**4 - 17*i**3 - 23*i**2 - 8*i. Let o(g) = -23*g**4 - 8*g**3 - 11*g**2 - 4*g. Let z(c) = 2*n(c) - 5*o(c). Factor z(u).
u*(u + 1)**2*(u + 4)
Let x be 60/(-15) + (3 - 1647/42). Let b = x + 292/7. Find m such that -3/2*m + b*m**4 + 0 - 9/2*m**3 + 9/2*m**2 = 0.
0, 1
Let v(m) = -25*m**2 - 640