= 15, -34 + 13 = -n - 5*v. Let x(z) be the first derivative of 2/5*z**4 - 1/15*z**n + 15 - 4/25*z**5 + 0*z + 16/15*z**3 + 0*z**2. Factor x(l).
-2*l**2*(l - 2)*(l + 2)**2/5
Suppose 3*i = -3*m + 45, -76*m - 2*i = -73*m - 45. Let l(h) be the first derivative of 1/10*h**4 + m*h**2 - 2 - 50*h - 2*h**3. Factor l(c).
2*(c - 5)**3/5
Let s be 333 + -1 + 4 + 0. Let y = s - -851. Let 1211*u + 28*u**2 + 4 - 8*u**2 - y*u = 0. What is u?
-1, -1/5
Let v(g) be the first derivative of 17*g**3/9 - 117*g**2/2 - 42*g + 2354. Find s such that v(s) = 0.
-6/17, 21
Factor 206/9*u + 86/3*u**2 + 26/9*u**4 + 46/3*u**3 + 20/3.
2*(u + 1)**3*(13*u + 30)/9
Let q(h) be the second derivative of -h**6/40 - 2223*h**5/40 - 549081*h**4/16 - 92*h + 20. Factor q(d).
-3*d**2*(d + 741)**2/4
Let l be 10 + (16/(-42))/(6/154). Determine r, given that 0*r + 0 + l*r**3 - 2/9*r**2 = 0.
0, 1
Suppose -2*w + 8 = 4*l + 2, 0 = -3*l. Factor -4*z**2 - 4*z**3 + 4*z - 14*z**4 + 15*z**4 + w*z**4.
4*z*(z - 1)**2*(z + 1)
Factor 52/5*i + 288/5 + 2/5*i**2.
2*(i + 8)*(i + 18)/5
Let t(i) be the second derivative of 1/10*i**5 + 1/45*i**6 + 56*i - 1/189*i**7 + 0 + 0*i**3 + 0*i**2 - 1/2*i**4. Suppose t(r) = 0. What is r?
-3, 0, 3
Let n = 58098 - 174292/3. Factor -2/15*y**3 + 6/5*y + n + 2/5*y**2.
-2*(y - 5)*(y + 1)**2/15
Let x(h) be the first derivative of 6534*h**3 + 198*h**2 + 2*h - 737. Solve x(l) = 0 for l.
-1/99
Let k(w) be the second derivative of -w**4/48 + 20*w**3/3 + 161*w**2/8 - 2*w - 126. What is q in k(q) = 0?
-1, 161
Let r(s) be the third derivative of -s**8/112 + 144*s**7/35 - 4261*s**6/8 + 41039*s**5/10 - 25347*s**4/2 + 20164*s**3 - 2417*s**2. What is t in r(t) = 0?
1, 2, 142
Let x be (-51636)/(-663) + 6/51. Let p be 4 + ((-28)/24 - 65/x). Factor 1/4*b**5 - 1/2*b**4 + 0 + 1/2*b**p + 0*b**3 - 1/4*b.
b*(b - 1)**3*(b + 1)/4
Suppose 194*l + 3*n = 199*l - 6, l = 3*n + 6. Factor 0*f + 1/4*f**3 + 0*f**2 - 1/4*f**5 + l*f**4 + 0.
-f**3*(f - 1)*(f + 1)/4
Factor 472*z**2 + 5000 + 3509*z**2 - z**5 - 7500*z - 1031*z**2 - 285*z**3 + 36*z**4 - 200*z**3.
-(z - 10)**3*(z - 5)*(z - 1)
Let i(o) = -o**3 + o**2 + 9*o - 7. Let s be i(3). What is r in 2*r - 5*r - 8*r**s - 21*r + 3*r**3 - r**3 = 0?
-2, 0, 6
Let w be (-2)/13 + (-2880)/(-468). Suppose -172 = w*z - 184. Solve r + 3/2 + 1/6*r**z = 0 for r.
-3
Factor 646/5*n**2 + 0 - 14*n**3 - 578/5*n + 2/5*n**4.
2*n*(n - 17)**2*(n - 1)/5
Solve -18*g - 26/7*g**3 + 102/7*g**2 + 0 + 2/7*g**4 = 0.
0, 3, 7
Suppose 0 = m + 3, -7 = z + 4*m + 9. Let c be (-1)/z*-2 + 21/6. Factor -w**3 - 16*w + 15*w + 2*w**c - w**4 + w**2.
-w*(w - 1)**2*(w + 1)
Let w(g) be the second derivative of -g**6/15 + 4*g**5/5 + 10*g**4/3 + 2*g - 345. Find b such that w(b) = 0.
-2, 0, 10
Let z(s) be the first derivative of -1/6*s**6 + 39 + s**4 - 4/3*s**3 + 0*s**2 + 1/5*s**5 + 0*s. Let z(r) = 0. Calculate r.
-2, 0, 1, 2
Find c, given that -200*c - 1/2*c**2 + 401/2 = 0.
-401, 1
Suppose -168*q + 4835 = -163*q. Factor -q*n**4 + 38*n**2 - 15*n + 964*n**4 - 11*n**2 - 9*n**3.
-3*n*(n - 1)**2*(n + 5)
Let q(k) = 11*k**2 - 22*k + 4. Let t be q(2). Let y be t/2 - 6/(0 + -6). Factor 2/11*f + 2/11*f**y + 4/11*f**2 + 0.
2*f*(f + 1)**2/11
Factor 18/13*a**3 + 0 + 0*a - 8/13*a**4 - 4/13*a**2.
-2*a**2*(a - 2)*(4*a - 1)/13
Let t(n) be the first derivative of -4*n**6/3 - 12*n**5 - 39*n**4 - 160*n**3/3 - 24*n**2 - 1821. Let t(b) = 0. What is b?
-3, -2, -1/2, 0
Suppose -4*m - o + 5 = 11, 4 = m + 3*o. Let c(x) = -2*x**4 + 34*x**3 - 34*x**2 + 4. Let j(b) = -b**3 + 2. Let u(s) = m*j(s) + c(s). Let u(n) = 0. What is n?
0, 1, 17
Let q(r) be the third derivative of -r**7/630 - r**6/36 - 2*r**5/15 + 23*r**4/8 + r**2 - 17. Let t(s) be the second derivative of q(s). What is k in t(k) = 0?
-4, -1
Let o(z) be the second derivative of 2*z**6/105 - z**4/7 + 4*z**3/21 + 4*z + 232. Factor o(i).
4*i*(i - 1)**2*(i + 2)/7
Let z(t) be the first derivative of -t**6/72 + 11*t**5/24 + 65*t**4/12 + 36*t**3 - 91. Let u(n) be the third derivative of z(n). Factor u(d).
-5*(d - 13)*(d + 2)
Suppose -57*s = -3*s - 2106. Factor s*k**3 - 83*k**3 + 135*k**2 + 1244*k + 781*k + 47*k**3 + 10125.
3*(k + 15)**3
Factor 162/5*p**2 + 174/5 + 6/5*p**3 - 342/5*p.
6*(p - 1)**2*(p + 29)/5
Let f(i) be the second derivative of 9*i**5/20 - 8*i**4 + 95*i**3/2 - 75*i**2 - 21*i - 13. Solve f(o) = 0.
2/3, 5
Let h be 4 + -1 + 0 - (5 + -4). Suppose -h*p - 9 = -17. What is v in -3*v**3 + 1/2*v**5 + 5/2*v + v**2 + 1/2*v**p - 3/2 = 0?
-3, -1, 1
Factor 173/6*u**2 + 0*u - 86/3*u**3 - 1/6*u**4 + 0.
-u**2*(u - 1)*(u + 173)/6
Let l = -215 - -218. Suppose 3*d**4 + 35*d**l - 17*d**3 - 10*d**2 - 17*d**4 - 2*d + 4*d + 4*d**5 = 0. Calculate d.
0, 1/2, 1
Suppose -8*x + 7*x + n = -2, 0 = 2*n + 4. Factor -2*c**2 - 234 + 10*c - 43*c - 566 + x*c**2 - 47*c.
-2*(c + 20)**2
Let c(p) be the third derivative of 19*p**2 - 1/6*p**4 + 0 + 0*p + 1/60*p**6 + 1/30*p**5 + 0*p**3. Determine a so that c(a) = 0.
-2, 0, 1
Let j(t) be the second derivative of t**4/78 + 928*t**3/39 + 215296*t**2/13 - 124*t. What is h in j(h) = 0?
-464
Let q(a) be the third derivative of -a**6/200 - 101*a**5/50 - 1957*a**4/8 + 21218*a**3/5 + 319*a**2. What is f in q(f) = 0?
-103, 4
Let i(o) = -5*o**4 - 24*o**3 + 15*o**2 + 66*o - 49. Let j(x) = -86*x**2 - 1 - x + 86*x**2 + 0 - x**3. Let u(k) = i(k) + j(k). Factor u(l).
-5*(l - 1)**2*(l + 2)*(l + 5)
Factor 5168/7*b + 3338528/7 + 2/7*b**2.
2*(b + 1292)**2/7
Let q be 20/1 + (-4063)/204. Let y(n) be the second derivative of 0*n**2 + 0 - q*n**6 - 1/6*n**3 - 1/24*n**4 + 35*n + 1/5*n**5. Suppose y(r) = 0. What is r?
-2/5, 0, 1
Let f be (((-16)/(-9))/2)/((-66740)/(-150165)). Factor -8/3*c + 2/3*c**f + 8/3.
2*(c - 2)**2/3
Let z(r) be the first derivative of 728*r**6/27 - 1028*r**5/15 + 422*r**4/9 + 68*r**3/27 - 8*r**2 + 16*r/9 + 4566. Find s such that z(s) = 0.
-2/7, 2/13, 1/4, 1
Suppose 1522 - 4653 = -3*p - 5*z, 5*p - z = 5181. Factor -p - 1160 - 507*t - t**3 - 5*t**2 + 10*t**2 - 44*t**2.
-(t + 13)**3
Factor 55/3*i + 31/3*i**2 - 29 + 1/3*i**3.
(i - 1)*(i + 3)*(i + 29)/3
Let i(b) = -3*b**3 - 1285*b**2 - 274776*b - 19600688. Let x(q) = q**3 + q**2. Let h(o) = 2*i(o) + 2*x(o). Find d such that h(d) = 0.
-214
Let f(r) = -15*r**2 + 695*r - 2130. Let i(w) = -17*w**2 + 691*w - 2136. Let k(t) = 6*f(t) - 5*i(t). Factor k(j).
-5*(j - 140)*(j - 3)
Let t(l) = -l**3 - 8*l**2 - 4*l + 18. Let u be t(-8). Suppose -u*o + 146 = 23*o. Factor 0*c + 1/2*c**3 - 1/2*c**o + 0.
c**2*(c - 1)/2
Let j(g) be the third derivative of 8192*g**6/15 + 49408*g**5/15 + 769*g**4/6 + 2*g**3 + 25*g**2 - 4*g + 2. Find y such that j(y) = 0.
-3, -1/128
Let l(j) be the second derivative of -j**4/60 - 362*j**3/15 - 65522*j**2/5 - 875*j - 2. Suppose l(v) = 0. Calculate v.
-362
Let t = 366 - 364. Let 24*h**4 - 4*h**2 - 42*h + 0*h**t + 40968 + 2*h**5 + 40*h**3 - 40988 = 0. What is h?
-10, -1, 1
Factor -17*l - 136*l + 89*l + 3*l**2 - 460 - 140*l - 1115.
3*(l - 75)*(l + 7)
Let f(k) = -2*k**2 + 30*k + 8. Suppose -90 - 10 = -20*c. Let y(j) = -j**2 + 20*j + 6. Let z(g) = c*f(g) - 8*y(g). What is l in z(l) = 0?
-4, -1
Find r such that -595*r**2 - 541*r**3 - 32734*r**4 - 5*r**5 + 590*r - 44*r**3 + 33329*r**4 = 0.
-1, 0, 1, 118
Let x(j) = 6*j + 28. Let g be x(-4). Suppose -w - 4 + 2 = -2*u, -g*u = -5*w + 2. Find i, given that -18/11 - 2/11*i**u - 12/11*i = 0.
-3
Let l = -294306 - -294309. Factor -8*j + 0 - 1/2*j**l - 4*j**2.
-j*(j + 4)**2/2
Let b(t) be the third derivative of -27*t**8/896 - 3*t**7/16 - 29*t**6/120 + 23*t**5/40 + 3*t**4/2 + 4*t**3/3 - 2018*t**2. Solve b(z) = 0 for z.
-2, -4/9, 1
Let q(b) = -b**2 - 9*b + 10. Let z(f) = f**2 + 19*f - 20. Let v = -153 + 69. Let a = 78 + v. Let j(h) = a*z(h) - 11*q(h). Find s such that j(s) = 0.
1, 2
Solve 2/3*p**2 - 344/3 + 26*p = 0.
-43, 4
Let q(x) be the second derivative of -17*x**4/138 + 83*x**3/69 + 10*x**2/23 - 263*x. Let q(u) = 0. What is u?
-2/17, 5
Let p(s) be the third derivative of -s**6/24 + s**5/2 - 24*s**2 - 10*s. Solve p(f) = 0.
0, 6
Let x(c) = 22*c**3 - 22*c**2 - 263*c - 347. Let q(n) = -9*n**3 + 12*n**2 + 130*n + 174. Let v(u) = -15*q(u) - 6*x(u). Suppose v(k) = 0. What is k?
-4, -2, 22
Let f(c) be the first derivative of 1/5*c**4 - 47 + 42592/5*c + 88/5*c**3 + 2904/5*c**2. Solve f(z) = 0 for z.
-22
Let p be (1/(-17))/(8/(-48)). Let x be 0 + 3 - 990/1530. Factor -x*l**2 - p + 