*(c + 1)
Let u(o) = -32*o**2 + 227*o - 17. Let v be u(7). Let p be (v - 205/(-50)) + (-20)/8. What is y in -3/5 - p*y - 18*y**2 - 108/5*y**3 - 27/5*y**4 = 0?
-3, -1/3
Let h(o) = -2*o**3 + 2*o**2 - 34*o + 46. Let j(u) = 5*u**3 - 5*u**2 + 63*u - 89. Let l(i) = -13*h(i) - 6*j(i). Let l(c) = 0. What is c?
-4, 1, 4
Let d(i) be the third derivative of i**8/60480 - i**7/15120 - i**6/1080 - 2*i**5/5 + i**3/6 - 25*i**2. Let f(b) be the third derivative of d(b). Factor f(u).
(u - 2)*(u + 1)/3
Let g(z) = z**3 - 8*z + 12. Let w be g(3). Let j be (-110)/w - -5 - -3. Factor 11/9*u**2 - 1/9 + 4/9*u + j*u**3.
(u + 1)**2*(6*u - 1)/9
Let l(j) = 4*j**2 - 25*j + 1. Let v be l(6). Let a(y) = -9*y**2 - 19*y + 74. Let m(q) = q**2 - q - 2. Let p(f) = v*m(f) - a(f). Solve p(r) = 0.
-8, 2
Let r(a) be the second derivative of -a**6/6 - 37*a**5/4 - 425*a**4/2 - 7750*a**3/3 - 17500*a**2 - 1174*a - 1. Factor r(s).
-5*(s + 7)*(s + 10)**3
Suppose -1544 = -909*z + 274. Suppose -22/9*q**3 - 2/3*q**z + 22/9*q - 4/9 + 10/9*q**4 = 0. Calculate q.
-1, 1/5, 1, 2
Let z(j) be the second derivative of -3*j + 1521/4*j**2 + 13/2*j**3 + 1/24*j**4 - 1. Let z(i) = 0. What is i?
-39
Find i such that -56/5*i**2 - 2/5*i**5 + 48/5*i + 12/5*i**3 + 6/5*i**4 + 0 = 0.
-3, 0, 2
Let g(x) be the second derivative of 8/15*x**5 - 59/90*x**6 + 0*x**3 - 1/9*x**4 + 15 + 0*x**2 - 7*x + 11/63*x**7. Solve g(m) = 0 for m.
0, 2/11, 1/2, 2
Let n(r) = 5067*r - 15196. Let u be n(3). Let 2/3*b - 1/3*b**u + 1/3*b**4 + 0 + b**3 - 5/3*b**2 = 0. Calculate b.
-2, 0, 1
Let m(w) be the third derivative of -w**6/60 - 208*w**5/5 - 43264*w**4 - 71991296*w**3/3 + 127*w**2 + 4*w. Solve m(k) = 0 for k.
-416
Let t(k) = 13*k**2 + 27*k + 37. Let y(u) = -20*u**2 - 40*u - 56. Suppose 2*p - 4 - 10 = 0. Suppose p*n + 96 = -5*n. Let x(w) = n*t(w) - 5*y(w). Solve x(m) = 0.
-2
Let u(y) = 34*y**2 - 3*y - 61. Let f(z) = 91*z**2 - 8*z - 184. Let k(w) = 3*f(w) - 8*u(w). Factor k(c).
(c - 8)*(c + 8)
Let z(v) be the third derivative of -v**7/210 - 59*v**6/120 - 57*v**5/20 - 169*v**4/24 - 28*v**3/3 + 16*v**2 + 28. Factor z(x).
-(x + 1)**3*(x + 56)
Let h(t) be the third derivative of -t**5/60 - 1529*t**4/24 - 764*t**3/3 + 85*t**2 - 5*t + 1. Let h(w) = 0. Calculate w.
-1528, -1
Let y(n) be the first derivative of n**3/9 + 427*n**2/3 + 182329*n/3 + 3718. Factor y(z).
(z + 427)**2/3
Let q be 20/(-30)*9 - 2. Let x be ((-2)/q)/((-9)/(-72)). Factor -1/6*j**x + 1/3*j + 0.
-j*(j - 2)/6
Suppose -2*v = 5*c - 155, -3*v - 2*c + 377 = 2*v. What is g in 50*g**2 - 6*g**4 + 75*g**2 - v*g**2 + g**4 + 23*g**3 + 22*g**3 = 0?
-1, 0, 10
Solve 25991/2*p**2 + 459/4*p**4 + 1/4*p**5 - 52899/4*p + 26449/2*p**3 - 52441/4 = 0.
-229, -1, 1
Let k(y) be the third derivative of 0*y**3 + 1 - 5/84*y**4 + 0*y - 1/210*y**5 + 4*y**2. Factor k(r).
-2*r*(r + 5)/7
Let a(h) be the first derivative of h**6/900 - 19*h**5/300 - h**4/3 - 10*h**3 + 120. Let u(o) be the third derivative of a(o). Find b, given that u(b) = 0.
-1, 20
Let t(r) be the first derivative of 4*r**5/5 - 100*r**4 + 3464*r**3 - 9800*r**2 + 9604*r - 220. Factor t(v).
4*(v - 49)**2*(v - 1)**2
Suppose 0 = -4*k - 0 + 88. Suppose 2*l - 1 = l + u, 5*u = -4*l + k. Let 4/15*z**2 + 2/5*z**4 + 2/3*z**l + 0*z + 0 = 0. Calculate z.
-1, -2/3, 0
Find w such that -4*w**3 + 40/7 - 12/7*w**4 + 76/7*w + 20/7*w**2 = 0.
-2, -1, 5/3
Let z = 76 - 13. Suppose -19*o = -z + 6. Factor 2/13*x**o + 8/13 - 6/13*x**2 + 0*x.
2*(x - 2)**2*(x + 1)/13
Let x be (-124)/16 + 3/4. Let t = 22 + x. Solve -11*j**3 + t*j - 60*j - 30*j**2 + 6*j**3 = 0 for j.
-3, 0
Let p(c) be the second derivative of -8*c**4/3 - 26*c**3/3 + 42*c**2 + 22*c + 97. Factor p(q).
-4*(q - 1)*(8*q + 21)
Let p(r) be the second derivative of -r**4/54 + 44*r**3/27 + 64*r**2/3 + 441*r. Solve p(n) = 0 for n.
-4, 48
Factor 75474037*h + 1406 + 4*h**2 + 1027 - 75476597*h + 123.
4*(h - 639)*(h - 1)
Factor -3304 - 5838 - 22542 - 712*c - 4*c**2.
-4*(c + 89)**2
Factor -1015/3 - 64/3*s - 1/3*s**2.
-(s + 29)*(s + 35)/3
Suppose -19 + 7 = -3*d - 5*b, -4*b + 16 = 4*d. Factor -9*k + k - 4*k**2 + 8 + d.
-4*(k - 1)*(k + 3)
Let a = -982 - -55976/57. Let o(w) be the second derivative of -17*w + a*w**3 - 3/19*w**2 + 0 + 1/114*w**4. Factor o(v).
2*(v - 1)*(v + 3)/19
Let u be 5877/204 + (11 - 6016/544). Factor -38*x + u*x**2 + 9/4*x**3 + 7.
(x - 1)*(x + 14)*(9*x - 2)/4
Let c = 1268/5 - 3043/12. Let p(w) be the second derivative of c*w**4 + 1/100*w**5 + 0*w**2 - 8*w + 0 + 0*w**3. Factor p(q).
q**2*(q + 1)/5
Let m(n) be the first derivative of n**4/22 + 40*n**3/3 + 437*n**2/11 + 436*n/11 + 3020. Suppose m(h) = 0. Calculate h.
-218, -1
Suppose h + 2 + 0 = p, -p + 17 = 4*h. Determine v so that 19*v**3 + v + 99*v**2 + 26*v + 67*v**3 + 34*v**h + 48*v**4 = 0.
-1, -3/4, 0
Let a(u) be the third derivative of -u**6/96 - 83*u**5/8 - 2485*u**4/96 + 6110*u**2. Factor a(b).
-5*b*(b + 1)*(b + 497)/4
Let -10*w**2 + 340 + 6*w**2 + 239*w - 191*w = 0. What is w?
-5, 17
Let q be 44585/8435 + -4 + 1 + -1. Find g such that -15/7*g**2 - 3/7*g**3 - q - 3*g = 0.
-3, -1
Let o(n) be the first derivative of -n**6/3 + 42*n**5/5 + n**4/2 - 14*n**3 - 2302. Determine u so that o(u) = 0.
-1, 0, 1, 21
Let u(w) be the third derivative of -w**7/490 + 243*w**6/280 + 43*w**2 - 1. Suppose u(h) = 0. Calculate h.
0, 243
Let o = 681/217 + -22/31. Let n be 2/(-6) - 4216/(-3864) - (-548)/(-12604). Determine l so that o*l**2 - n*l**5 - 13/7*l**4 - 4/7 + 1/7*l**3 + 4/7*l = 0.
-2, -1, 2/5, 1
Determine v, given that -3*v**5 + 0*v**5 + 31*v**2 + 2097*v**3 - 46*v**2 - 1734*v**3 - 231*v**2 - 114*v**4 = 0.
-41, 0, 1, 2
Let l = -6 + 8. Suppose -4*p = -192*r + 194*r - 92 + 110, -4*r = 3*p + 36. Let 0 + p*v**l + 2/11*v**3 + 0*v = 0. Calculate v.
0
Let j(c) = -9*c**3 - 84*c**2 - 312*c - 306. Let z(f) = f**3 + 2*f + 3. Let d(h) = -j(h) - 6*z(h). Factor d(m).
3*(m + 2)**2*(m + 24)
Suppose -3*m + 39 + 225 = 0. Factor m*g**2 + 1006 - 60*g - 42*g**2 - 106 - 45*g**2.
(g - 30)**2
Let u(m) = m + 2. Let i(h) = -2*h**2 + 321*h - 334. Let t(x) = i(x) + 5*u(x). Let t(b) = 0. Calculate b.
1, 162
Let v(s) be the third derivative of s**7/70 + 2117*s**6/120 - 353*s**5/30 + 3935*s**2. Factor v(r).
r**2*(r + 706)*(3*r - 1)
Let j(c) be the first derivative of 1/30*c**5 - 1/12*c**4 - 2*c**2 + 0*c**3 + 0*c + 9. Let y(u) be the second derivative of j(u). Suppose y(m) = 0. Calculate m.
0, 1
Suppose -1533*o + 124*o + 2818 = 0. Suppose -2*u = 5*t - 23, u - 3*t - 7 = -3*u. Find g, given that 75/4*g**o + 27/2*g + 81/8*g**3 + 15/8*g**u + 3 = 0.
-2, -1, -2/5
Let l(s) be the second derivative of 38*s - 12/5*s**5 - 83/3*s**4 - 1/15*s**6 + 1 - 121*s**2 - 88*s**3. Factor l(b).
-2*(b + 1)**2*(b + 11)**2
Suppose -4*y - 6*p = 32, 0 = -2*y + p + 5 + 11. Let c(v) be the first derivative of -37 + 4/5*v**5 - 12*v + 8*v**2 + 8/3*v**3 - 4*v**y. Solve c(r) = 0 for r.
-1, 1, 3
What is a in -4/5*a**2 + 272 - 324/5*a = 0?
-85, 4
Suppose 1 = 4*d - 11. Find x such that -20*x + x**5 + 14*x**3 + 3*x**5 - 20*x**4 + 28*x - 17*x**2 - 11*x**2 + 22*x**d = 0.
0, 1, 2
Suppose -4*r + 101 = 5*d - 0*r, -5*d = -3*r - 108. Find j, given that -5*j**2 + 8*j + 25*j**5 - 6*j**3 + 3*j**4 - 58*j**4 + d*j**2 + 12*j**2 = 0.
-2/5, 0, 1, 2
Let m(d) be the second derivative of d**6/10 + 6*d**5/5 - 6*d**4 - 144*d**3 - 648*d**2 + 944*d. Factor m(i).
3*(i - 6)*(i + 2)*(i + 6)**2
Let v(l) be the third derivative of 11*l - 5/12*l**5 + 0 + 20/3*l**4 - 30*l**3 + 5*l**2 - 1/24*l**6. Factor v(t).
-5*(t - 2)**2*(t + 9)
Let r(m) be the first derivative of m**6/42 - 3*m**5/7 + 33*m**4/14 - 118*m**3/21 + 93*m**2/14 - 27*m/7 - 5871. Factor r(n).
(n - 9)*(n - 3)*(n - 1)**3/7
Let u(x) be the third derivative of -x**7/70 - 49*x**6/40 - 183*x**5/20 - 135*x**4/8 + 1358*x**2. Let u(a) = 0. Calculate a.
-45, -3, -1, 0
Let b(y) be the third derivative of 1/135*y**6 - 84*y**2 + 0*y**3 + 0*y**5 + 0*y**4 + 0*y - 8/315*y**7 - 13/1512*y**8 + 0. Suppose b(o) = 0. Calculate o.
-2, 0, 2/13
Let s(z) be the second derivative of 361*z**5/60 + 19*z**4/4 + 3*z**3/2 + 83*z**2/2 - 68*z. Let m(w) be the first derivative of s(w). Solve m(k) = 0.
-3/19
Let y be 365/(-584) + (-11)/8. Let c be y/(-4)*56/196. Solve -c*l**2 - 1/7*l + 2/7 = 0 for l.
-2, 1
Solve -2/5*a**2 - 216090 - 588*a = 0.
-735
Find u such that 138*u**4 - 50*u**3 - 24 - 2999*u + 3343*u - 766*u**2 - 134*u**