 1)**2*(k + 2)/5
Suppose 2*x = -2*b - 34, -4*x = -57*b + 62*b + 85. Factor 4/3*o**2 + x*o + 2*o**3 + 2/3*o**4 + 0.
2*o**2*(o + 1)*(o + 2)/3
Let a(h) be the first derivative of -3*h**4/16 - 41*h**3/2 - 1197*h**2/2 + 2646*h - 1364. Suppose a(q) = 0. What is q?
-42, 2
Let x = 17861 + -17856. Let r(y) be the second derivative of 6/5*y**x + 4/3*y**4 - 4*y**2 - 4/15*y**6 - 2*y**3 - 2/7*y**7 - 7*y + 0. Solve r(n) = 0.
-1, -2/3, 1
Let t(r) be the third derivative of r**8/1176 + 6*r**7/245 - 34*r**6/105 + 33*r**5/35 + 45*r**4/28 - 72*r**3/7 + 2*r**2 - r + 39. What is m in t(m) = 0?
-24, -1, 1, 3
Let m(d) be the first derivative of d**6/48 + 7*d**5/40 + 7*d**4/16 + d**3/3 - 3796. Determine s, given that m(s) = 0.
-4, -2, -1, 0
Let b = 59 - 43. Suppose -4*y = 4*o - 3*y - b, 3*o - 12 = -y. Suppose j + 4*j**2 - 12*j**2 + 0*j - 5*j - o*j**3 = 0. What is j?
-1, 0
Let y(a) be the first derivative of 2*a**5/25 + 23*a**4/10 - 20*a**3/3 - 554. Factor y(t).
2*t**2*(t - 2)*(t + 25)/5
Let g(a) be the second derivative of -a**4/12 - a**3/6 - a**2/2 + 184*a. Let b(i) = -4*i**3 + 95*i**2 - 189*i + 44. Let z(x) = b(x) + 2*g(x). Factor z(h).
-(h - 21)*(h - 2)*(4*h - 1)
Suppose -3*o - 20 = -35. Suppose -12*w + o = -19. Suppose -2*u - 2*u**3 + 0*u - 35*u**w + 31*u**2 = 0. Calculate u.
-1, 0
Let v(o) be the first derivative of -45 + 1/3*o**3 + 0*o + 15/2*o**2. Find a, given that v(a) = 0.
-15, 0
Factor 1263/4*y + 63/2 + 15/2*y**2.
3*(y + 42)*(10*y + 1)/4
Suppose -5 - 1 = 3*d, 3*d = -s + 30. Suppose -w + o - 21 = 6*o, 0 = -4*w + 4*o + s. Factor 1 + c - 1/4*c**w - 3/4*c**2 - c**3.
-(c - 1)*(c + 1)*(c + 2)**2/4
Suppose -7*m + 115 = -144. Suppose m + 38 - 9*j - 21 + 3*j**2 + 36*j = 0. What is j?
-6, -3
Let n(r) = 3*r**4 - 27*r**3 + 123*r**2 + 1353*r - 1467. Let i(h) = -2*h**3 + 2*h**2 + 1. Let s(v) = -15*i(v) - n(v). Suppose s(d) = 0. What is d?
-4, 1, 11
Let -82/9*u**3 - 2/9*u**5 + 40/3*u + 8/9*u**2 + 28/9*u**4 + 0 = 0. Calculate u.
-1, 0, 2, 3, 10
Let u be 3/2*(-16)/(-6). Solve 12*v**4 - 12*v + 7*v**2 + u*v**5 + 8*v**3 + 4*v**2 - 19*v**2 - 4 = 0 for v.
-1, 1
Suppose -2*u + 63 - 41 = 5*w, -5*u = 20. Factor 1/2*x**4 + 13/2*x**2 - 3*x**3 + 2 - w*x.
(x - 2)**2*(x - 1)**2/2
Let x(i) be the third derivative of -i**10/151200 + i**9/3780 + i**5/30 - 78*i**2. Let m(c) be the third derivative of x(c). Solve m(g) = 0 for g.
0, 16
Let o be 16 - (24 + -5 + (-7)/1). Let g be 0 - -2*4/16. Solve -1/8*u**2 + 1/8*u**o - 1/2*u**3 + 0 + g*u = 0.
-1, 0, 1, 4
Suppose 346*l - 15 = 343*l. Let 3 - 35*f**3 - 13 - l*f**4 + 90*f**2 + 8 + 2 = 0. Calculate f.
-9, 0, 2
Suppose 2*j + 3 = d - 2*j, 3*j = 0. Suppose 2*i - 9 = -2*u + 7, d*i - 4 = u. Let -16*r**4 - 6*r - 16*r**i + 19*r**4 + 15*r**2 + 4*r**3 = 0. Calculate r.
0, 1, 2
Let r(k) be the third derivative of -k**5/270 + 2729*k**4/108 + 12*k**2 + 13*k + 6. Factor r(f).
-2*f*(f - 2729)/9
Let i(r) = 61*r**3 + 3*r**2 + r - 3. Let h be i(1). Let l be -9 + 12 + h/(-22). Solve -6/11*u**2 - l*u**3 - 4/11*u + 0 = 0.
-2, -1, 0
Let z(m) = 2*m + 68. Let g be z(-4). Factor -60*l**2 - g*l + 111*l**2 - 53*l**2.
-2*l*(l + 30)
Let v(n) be the second derivative of 3*n**5/100 - 3*n**4/2 + 27*n**3/10 + 87*n**2/5 + 1863*n. Let v(k) = 0. Calculate k.
-1, 2, 29
Let h = 16141/28665 + -24/3185. Let l(c) be the third derivative of 4/45*c**5 + 0 - 4*c**2 + 25/18*c**3 + h*c**4 - 6*c. Suppose l(v) = 0. Calculate v.
-5/4
Let o(y) be the third derivative of y**5/120 + 3*y**4/8 + 77*y**3/12 - 3651*y**2. Factor o(d).
(d + 7)*(d + 11)/2
Factor -2/9*i**5 - 352/9*i**2 - 116/3*i**4 + 78*i**3 + 0 + 0*i.
-2*i**2*(i - 1)**2*(i + 176)/9
Factor -2/3*n**2 + 212/3*n + 0.
-2*n*(n - 106)/3
Let w be -4 + (66/5)/((-39)/(-260)*14). Factor -12/7*r - w*r**2 - r**3 - 1/7*r**4 + 0.
-r*(r + 2)**2*(r + 3)/7
Suppose 3132*t + 3*t**2 + 2810 + 3069 + t**2 + 369 = 0. What is t?
-781, -2
Let i(n) be the second derivative of -n**5/300 + 9*n**4/10 - 486*n**3/5 + 61*n**2/2 + 38*n. Let z(j) be the first derivative of i(j). Factor z(w).
-(w - 54)**2/5
Let q(n) be the second derivative of -n**5/80 + 13*n**4/24 - 169*n**3/24 - 3*n - 365. Suppose q(j) = 0. Calculate j.
0, 13
Let s(u) be the first derivative of 1/6*u**4 + 2/3*u**2 + 219 - 7/9*u**3 + 1/15*u**5 + 0*u. Factor s(v).
v*(v - 1)**2*(v + 4)/3
Let d be -23 + 13 + 9 - (103/(-19) + 4). Factor -22/19*f - 18/19*f**2 + 2/19*f**4 - d - 2/19*f**3.
2*(f - 4)*(f + 1)**3/19
Solve -13 - 91*x**2 + 86*x**2 + 13 + 5*x**4 = 0 for x.
-1, 0, 1
Let j(i) be the first derivative of -7*i**4/10 + 8*i**3/5 - 3*i**2/5 - 4*i/5 - 5255. Factor j(x).
-2*(x - 1)**2*(7*x + 2)/5
Let y(a) be the first derivative of a**6/15 + 28*a**5/25 + 38*a**4/5 + 80*a**3/3 + 256*a**2/5 + 256*a/5 - 6951. Factor y(h).
2*(h + 2)**3*(h + 4)**2/5
Let i be 190841/274*(-2)/6*(-45)/70. Suppose 1107/4*g**3 + 879/4*g**2 + 105/4*g**5 + 9 + i*g**4 + 75*g = 0. Calculate g.
-3, -1, -2/5, -2/7
Factor 600/11*h - 2000/11 - 60/11*h**2 + 2/11*h**3.
2*(h - 10)**3/11
Suppose -67*a + 768 = 250*a + 134. Suppose -1/4 + 1/3*u - 1/12*u**a = 0. What is u?
1, 3
Let t be (-3 - -1)/((-1896)/630 - -3). What is r in -3*r**2 + 215*r**3 - t*r**3 - 5*r**4 + 13*r**2 = 0?
-1, 0, 2
Let i be (3 + -2*21/18)*15. Let -5*g**5 - i*g - 25*g**4 - 23*g**2 - 12*g**2 - 39*g**3 - 6*g**3 = 0. Calculate g.
-2, -1, 0
Let b(q) be the third derivative of 11*q**7/735 + 41*q**6/140 + 22*q**5/15 + 19*q**4/7 + 32*q**3/21 - 59*q**2 + 26*q. Find u, given that b(u) = 0.
-8, -2, -1, -2/11
Let q(i) be the second derivative of -243*i**5/80 + 2097*i**4/16 + 2405*i**3/8 + 2025*i**2/8 + 3*i - 49. Factor q(u).
-3*(u - 27)*(9*u + 5)**2/4
Let f(o) = 125*o - 41 - 171*o**3 - 107*o**3 + 333*o**3 + 221*o**2. Let l(w) = 9*w**3 + 37*w**2 + 21*w - 7. Let c(p) = 6*f(p) - 34*l(p). Factor c(g).
4*(g + 1)*(g + 2)*(6*g - 1)
Let l = -30 - -34. Let g(z) be the first derivative of l*z**2 + 231*z - 228*z + z**3 - z**2 - 6. Let g(h) = 0. What is h?
-1
Let k(h) be the first derivative of h**4/6 + 88*h**3/9 - 139*h**2/3 + 188*h/3 - 1697. Find t, given that k(t) = 0.
-47, 1, 2
Let w(h) be the second derivative of h**5/360 - 11*h**4/144 - h**3/3 + 51*h**2 + 118*h. Let v(t) be the first derivative of w(t). Suppose v(i) = 0. What is i?
-1, 12
Suppose -3*l + 2*k + 175 = -81, l - 74 = -5*k. Let t be 28/16*32/l. Factor t*u**3 + 0 + 0*u**2 + 0*u.
2*u**3/3
Let v(d) be the first derivative of -d**8/840 - 17*d**7/1050 - d**6/15 - 4*d**5/75 - 43*d**2/2 - d - 92. Let h(w) be the second derivative of v(w). Factor h(m).
-m**2*(m + 4)**2*(2*m + 1)/5
Let r = 236 - -68. Factor -4*h**2 + 2258 - r*h - 3423 - 4611.
-4*(h + 38)**2
Let t be 200/700 + 4/(-14). Let l(x) be the second derivative of -1/42*x**4 + 1/105*x**6 + t*x**2 - 6*x + 0 + 0*x**3 + 0*x**5. Suppose l(f) = 0. Calculate f.
-1, 0, 1
Solve 2/5*s**5 - 418/5*s**2 - 414/5*s**3 + 0 - 28*s - 134/5*s**4 = 0 for s.
-1, 0, 70
Let w(v) be the second derivative of 0*v**3 - 1/336*v**7 + 1 + 0*v**4 + 1/160*v**5 + 0*v**2 - 15*v + 0*v**6. Factor w(s).
-s**3*(s - 1)*(s + 1)/8
Let t(o) = -2*o**2 + 17*o - 3. Let i be t(8). Suppose 5*w + 1 = 16, -f + 18 = i*w. Factor -80*d**3 - f*d**5 + 79*d**3 - 2*d**4 + 2*d**5.
-d**3*(d + 1)**2
Let d(n) = 10*n**2 - 30*n + 14. Let c(m) = -2*m**2 + 6*m - 3. Let q = 18 - 4. Let r(i) = q*c(i) + 3*d(i). Factor r(s).
2*s*(s - 3)
Suppose 85*r + 56*r - 366 = 2*r - 44*r. Determine t, given that -33/7 + 3/7*t + 99/7*t**r + 57/7*t**3 - 6/7*t**4 = 0.
-1, 1/2, 11
Let b(r) = 9*r**3 - 187*r**2 - 848*r - 856. Let q(p) = 29*p**3 - 555*p**2 - 2542*p - 2567. Let m(w) = -13*b(w) + 4*q(w). Determine s so that m(s) = 0.
-2, 215
Let f(w) = w**3 + 5*w**2 - 2*w - 5. Let r be f(-5). Suppose 33*p + 84*p = 234. Factor -10*v + 4*v**2 - v**2 + p*v**2 - r*v.
5*v*(v - 3)
Suppose 0 = -737*y + 741*y - 32. Determine b so that -y + 28/5*b + 4/5*b**4 - 28/5*b**3 + 36/5*b**2 = 0.
-1, 1, 2, 5
Let n(l) be the third derivative of -1/300*l**5 - 5*l**2 + 1/5*l**4 - 8/15*l**3 - 1 - 1/100*l**6 + 0*l - 1/1050*l**7. Factor n(y).
-(y - 1)**2*(y + 4)**2/5
Suppose q - 27 - 17 = 0. Suppose 5*x = -14 + q. Let 9 - 24*n**2 - x*n - 27*n**2 + 48*n**2 = 0. Calculate n.
-3, 1
Determine a so that 2503*a - 608*a - 27*a**2 + 32*a**2 = 0.
-379, 0
Factor 150 - 3645 - 3*h**2 + 14*h**2 - 8*h**2 + 684*h.
3*(h - 5)*(h + 233)
Let q = 187258/312095 - 1/312095. Factor -q - 2*d - 4/5*d**3 - 11/5*d**2.
-