pose l - 11*a - 48 = 0, 3*l = -l - 4*a. Let u be (-10)/12*(-24)/60. Find v, given that -1/2*v**3 + 1/2*v - u + 2/3*v**2 - 1/3*v**l = 0.
-2, -1, 1/2, 1
Let w(n) = 65*n + 350. Let t(d) = 42*d + 233. Let s(i) = 8*t(i) - 5*w(i). Let y be s(-10). Find p, given that 3/2*p**3 - 3/2*p - 11/8*p**2 + 7/8*p**y + 1/2 = 0.
-2, -1, 2/7, 1
Let v(m) = -3*m**2 - 18*m - 24. Let n be v(-7). Let g be (3 - 10/3)/(n/27). What is u in -g*u**2 + 0 + 3/5*u = 0?
0, 3
Factor -40/7 - 24/7*p - 2/7*p**2.
-2*(p + 2)*(p + 10)/7
Let z be (-5 + 6 - 1) + 2. Let j be (3/(-1) - -1) + 18. Factor -j - 6*y - 4*y - z*y + 4*y**2.
4*(y - 4)*(y + 1)
Let f be 7/2 + (12 - (-1484)/(-112)). Let w(b) be the first derivative of -1/5*b**5 + 0*b - f*b**4 - 8*b**3 - 30 - 8*b**2. Find i, given that w(i) = 0.
-4, -1, 0
Let c(y) = -y**4 + 59*y**3 - 58*y**2 + 12*y. Let q(l) = -l**4 - 2*l**3 - l**2. Let r(i) = -2*c(i) - 6*q(i). Factor r(p).
2*p*(p - 12)*(p - 1)*(4*p - 1)
Let u(n) be the third derivative of -n**7/2520 + n**6/48 - 35*n**4/12 + 10*n**2 - 4. Let q(y) be the second derivative of u(y). Factor q(j).
-j*(j - 15)
Suppose -2 = -3*f + 4. Suppose -77 + 557 = 10*b. Let -3*s**3 - 66*s**2 + b - 24*s - 50*s**2 + 95*s**f = 0. Calculate s.
-4, 1
Determine i, given that -92*i**3 - 599 - 402 + 20*i**2 + 7*i**4 - 21*i**4 + 2*i**5 + 282*i + 803 = 0.
-3, 1, 11
Let o(g) be the first derivative of -g**3/3 - 33*g**2 - 128*g + 7293. Determine r so that o(r) = 0.
-64, -2
Let z(m) be the second derivative of -2*m**6/15 - 6*m**5/5 - 8*m**4/3 + 1607*m. Factor z(p).
-4*p**2*(p + 2)*(p + 4)
Let x be (-4 + 180/42)*-35. Let k be (-3)/((-12)/(-20))*x/25. What is q in 32/5*q**3 - 3*q**4 + 2/5*q - 19/5*q**k + 0 = 0?
0, 2/15, 1
Let k = 303 - 206. Let x = k + -56. Factor 18*t + 4*t**2 - 8*t**4 - 47*t**2 + 13*t**3 + 37*t**3 - x*t**2.
-2*t*(t - 3)**2*(4*t - 1)
Let 2/5*n**4 + 28/5*n - 28/5*n**3 + 88/5*n**2 - 18 = 0. Calculate n.
-1, 1, 5, 9
Suppose -6*j**3 + 90*j**2 + 27*j - 24*j**3 - 147*j**3 + 36*j**2 + 36*j**4 - 12 + 0*j**4 = 0. What is j?
-1/3, 1/4, 1, 4
Let u(h) = -h**5 - h**4 - h**3 + h**2 - h. Let i(p) = -71*p**5 - 11*p**4 + 941*p**3 - 721*p**2 - 207*p + 192. Let k(f) = -i(f) - u(f). Solve k(l) = 0.
-4, -1/2, 2/3, 3
Let q = -84047 - -84049. Factor 2/3 + 2/3*y**q + 4/9*y**3 - 16/9*y.
2*(y - 1)*(y + 3)*(2*y - 1)/9
Suppose 0 = 5*x + l - 230, 3*x + 0*x - 110 = 5*l. Let n be (-5)/(x/6)*7/(-2). Factor -1/2*o**5 - 1/6 + 1/6*o - n*o**3 + o**2 + 11/6*o**4.
-(o - 1)**4*(3*o + 1)/6
Let v be 2*(28/(-56) + (3 - 0)). Let x(c) be the first derivative of 7 + 1/3*c**3 + 0*c**2 - 4/5*c + 0*c**4 - 1/25*c**v. Find y such that x(y) = 0.
-2, -1, 1, 2
Let m(u) be the second derivative of -u**4/9 + 176*u**3/9 - 58*u**2 - 2*u + 103. Determine l so that m(l) = 0.
1, 87
Let o(s) be the third derivative of -9*s**6/40 + 141*s**5/20 - 41*s**4 + 104*s**3 + 49*s**2 + 19*s. Solve o(h) = 0.
4/3, 13
Let c(w) be the third derivative of -26*w + 1/8*w**3 - 1/60*w**5 + 1/240*w**6 + w**2 + 1/840*w**7 + 0 - 1/48*w**4. Find z such that c(z) = 0.
-3, -1, 1
Let x(n) be the third derivative of -n**6/1260 - 3*n**5/140 - 2*n**4/21 + 35*n**3/6 + 22*n**2. Let f(k) be the first derivative of x(k). Factor f(i).
-2*(i + 1)*(i + 8)/7
Let r(m) be the third derivative of -m**8/84 - 8*m**7/15 - 11*m**6/2 + 30*m**5 - 2*m**2 + 59*m - 2. Factor r(l).
-4*l**2*(l - 2)*(l + 15)**2
Let m(i) be the second derivative of i**4/84 - i**3/21 - 1896*i. Factor m(n).
n*(n - 2)/7
Let x be ((6/(-225))/(4/5))/(10/(-80)). Let t(c) be the first derivative of -x*c**3 + 1/2*c**2 + 39 - 2/5*c + 1/20*c**4. Suppose t(l) = 0. Calculate l.
1, 2
Suppose 21*r - 953 = 538. Factor 68*p**2 - 64 - 143*p**2 - 32*p + r*p**2.
-4*(p + 4)**2
Let k(c) = 4*c**3 - 3*c**2 + 9*c - 1. Suppose 5*b + 189 = 79. Let d(q) = 15*q**3 - 13*q**2 + 36*q - 5. Let s(z) = b*k(z) + 6*d(z). Find l, given that s(l) = 0.
1, 4
Let r(f) be the third derivative of f**8/336 + 31*f**7/210 + 17*f**6/15 + 38*f**5/15 - 14*f**4/3 - 104*f**3/3 + 3*f**2 + 9. Let r(u) = 0. What is u?
-26, -2, 1
Let d(j) be the third derivative of 1/180*j**5 - 1/9*j**4 + 0 + 7/18*j**3 + 20*j - j**2. Factor d(a).
(a - 7)*(a - 1)/3
Suppose 18151 = 2578*l + 18*l + 5171. Suppose 75/2*p**3 - 3*p**l + 18 - 9/2*p**4 + 147/2*p + 189/2*p**2 = 0. Calculate p.
-3, -1, -1/2, 4
Let f(c) be the third derivative of -c**6/40 + 333*c**5/40 + 253*c**4/8 - 84*c**3 - 2035*c**2. Determine r so that f(r) = 0.
-2, 1/2, 168
Let n(c) be the first derivative of -2*c**3/21 + 34*c**2 - 944*c/7 + 1056. Determine o, given that n(o) = 0.
2, 236
Let u(g) = -5*g**2 + 30*g + 62. Let c(a) = 64 + 19*a - 3*a - 4*a**2 + 14*a. Let v(l) = 6*c(l) - 4*u(l). Solve v(h) = 0.
-2, 17
Let k = 5/14879 + -64024367/89274. Let c = -717 - k. Factor 1/6*r + 0 + c*r**3 - 1/3*r**2.
r*(r - 1)**2/6
Let u(l) be the first derivative of -l**7/945 + l**6/270 + 7*l**5/270 + l**4/27 + 113*l**2/2 + 111. Let w(k) be the second derivative of u(k). Factor w(z).
-2*z*(z - 4)*(z + 1)**2/9
Let k(o) be the second derivative of -o**7/84 - o**6/10 + 2*o**5 - 23*o**4/4 + 65*o**3/12 - 4*o + 67. Suppose k(y) = 0. What is y?
-13, 0, 1, 5
Let c(z) = -z**2 + 13*z - 2. Suppose 0 = -4*h + 2*t + t - 17, 4*t = -4. Let f(l) = -l**2 + 11*l - 2. Let q(a) = h*f(a) + 4*c(a). What is j in q(j) = 0?
1, 2
Let b(c) be the first derivative of 1 + 0*c**2 + 0*c**4 + 2/9*c**3 - 1/3*c - 1/15*c**5. Factor b(t).
-(t - 1)**2*(t + 1)**2/3
Let g(n) = 8*n**3 + 16*n**2 + 40*n + 16. Let u be 27/54*(20 - -2). Let o(j) = 21*j**3 + 47*j**2 + 119*j + 49. Let v(f) = u*g(f) - 4*o(f). Factor v(s).
4*(s - 5)*(s + 1)**2
Let p = -504 - -506. Determine v so that 7575 + 18*v**2 + 34*v**p - 7583 - 44*v = 0.
-2/13, 1
Let f = -103 + 152. Suppose f = -30*k + 31*k. Factor -6*v**3 - 12 + 16*v**2 - 4*v**4 + k*v - 2*v**3 - 41*v.
-4*(v - 1)**2*(v + 1)*(v + 3)
Let l = 593 + -585. Let g be -3 + -1 + 1/(l/34). Factor 1/4*k**2 - 1/4 + 1/4*k**3 - g*k.
(k - 1)*(k + 1)**2/4
Let k(t) = 11*t**2 + 34*t - 35. Let u be k(1). Let -3*h**4 - 92*h - 2*h**5 + 104*h - 14*h**3 + 4*h**5 + u*h**2 - 7*h**4 = 0. Calculate h.
-1, 0, 1, 6
Let r(f) be the first derivative of -1 - 20*f + 4*f**2 + 1/3*f**4 - 2*f**3. Let z(p) be the first derivative of r(p). Factor z(a).
4*(a - 2)*(a - 1)
Suppose 0 = -4*a - 51*a + 15*a - 38*a. Factor a*z + 4/13*z**2 - 6/13*z**3 + 2/13*z**5 + 0*z**4 + 0.
2*z**2*(z - 1)**2*(z + 2)/13
Determine u, given that -2/5*u**3 + 8/5*u**2 + 0 - 8/5*u = 0.
0, 2
Let v = 5406305/8 + -675775. Determine x, given that -15/2*x**2 + v*x**5 + 81/4*x**3 + 303/8*x**4 - 3*x + 0 = 0.
-2, -1, -2/7, 0, 2/5
Let w(r) = 15*r**2 - 1315*r + 1950. Let g(d) = -d**2 + 87*d - 130. Let c(u) = 93*g(u) + 6*w(u). Solve c(b) = 0.
2, 65
Find l such that -39*l**3 - 132*l + 20 + 128*l**2 + 11/4*l**4 = 0.
2/11, 2, 10
Let o(d) = d**2 - 8*d + 14. Let p be o(2). Factor 166*l**p - 170*l**2 - 52*l + 77 + 43.
-4*(l - 2)*(l + 15)
Let d be 4*2 + (-46 - 1989/(-52)). Factor 6 - 1/2*y**2 - 5*y - d*y**4 + 5/4*y**3.
-(y - 3)*(y - 2)**2*(y + 2)/4
Let z be (-2211)/3 - (-5 + -2 + 7). Let f = -6631/9 - z. What is i in 4/3 - f*i - 2/9*i**2 = 0?
-3, 2
Suppose 9*t + 0*t = 0. Suppose t = 29*c - 27*c - 4. Solve 1 + c*g - 7 + 6 + 2*g**2 = 0.
-1, 0
Let r(w) be the first derivative of -49*w**6/12 + 2191*w**5/5 - 1747*w**4/8 - 5399*w**3/3 - 1333*w**2 - 356*w + 2172. Determine g so that r(g) = 0.
-1, -2/7, 2, 89
Suppose 5*b + 4*a = 11 + 22, 4*b + 2*a - 24 = 0. Let 19*h**5 + 4*h**4 + 2*h**2 + 0*h**3 + h**3 + 4*h**3 - 18*h**b = 0. Calculate h.
-2, -1, 0
Let w(h) be the second derivative of -3*h**7/7 - 178*h**6/15 - 646*h**5/5 - 2012*h**4/3 - 1408*h**3 + 1152*h**2 + 280*h + 7. Determine m, given that w(m) = 0.
-6, -4, 2/9
Let 38/11*r**2 - 196/11*r - 2/11*r**3 + 160/11 = 0. What is r?
1, 8, 10
Let w(n) = -63*n + 624. Let u be w(10). Let s(z) = 107*z + 645. Let f be s(u). Find c such that -1/4*c**5 + 5/4*c - 1/2*c**2 - 1/2 + c**4 - c**f = 0.
-1, 1, 2
Let z = -220746 - -882987/4. Factor -3/2*y**2 + 15/4*y - 3/4*y**4 + 9/4 - 9/2*y**3 + z*y**5.
3*(y - 3)*(y - 1)*(y + 1)**3/4
Suppose -j - 23*k = -21*k - 1064, -5*j + 5329 = k. Let y = j + -1066. Factor y*r - 1/9*r**3 + 2/9*r**2 + 0.
-r**2*(r - 2)/9
Let j(s) = s**2 - 6*s - 21. Let y be 9 + -2 - (0 + -2). Let m be j(y). Factor x**3 + 4*x + 3*x**4 - m*x**2 - 5*x - 3*x**2 + 2 + 4*x.
(x - 1)**2*(x + 2)*(3*x + 1)
L