uppose 347*l = 44*l + 1212. Find h such that 3/2*h**2 + l*h**3 + 3/2*h**4 + 0 - h = 0.
-2, -1, 0, 1/3
Let y(a) be the second derivative of -1/120*a**5 - a - 11*a**2 + 0 - 7/24*a**4 - 49/12*a**3. Let c(f) be the first derivative of y(f). Factor c(j).
-(j + 7)**2/2
Suppose 4*j - 2*g = 18 + 20, -3*j + 4*g + 41 = 0. Suppose 5*u = 5*l - 5, 0 = -4*l - 0*u + u + j. Factor 0 - 2 - 6*y**2 + l*y + 2 + 4.
-2*(y - 1)*(3*y + 2)
Let j(p) = p**3 - p**2 - 3*p + 9. Let a be j(3). Let c be 0 + a/15 + -1. Factor -1/5 - 2/5*s - c*s**2.
-(s + 1)**2/5
Suppose -7*i = 15*i - 1980. Let p be (-6)/(-15)*i/24. Solve 0*l**3 + 0*l**2 + 0 + p*l**4 - 3/2*l**5 + 0*l = 0 for l.
0, 1
Factor 0 + 56/3*m - 10/3*m**2.
-2*m*(5*m - 28)/3
Find f, given that -2/7*f**3 + 162/7*f - 260/7 - 12/7*f**2 = 0.
-13, 2, 5
Let x(h) be the first derivative of 459/8*h**2 + 81/2*h + 1/8*h**6 + 39*h**3 + 105/8*h**4 + 21/10*h**5 + 101. Suppose x(d) = 0. Calculate d.
-6, -3, -1
Let j(l) be the first derivative of l**6/840 + l**5/140 - 2*l**4/21 + 2*l**3/7 - l**2/2 - 71*l + 45. Let c(v) be the second derivative of j(v). Factor c(n).
(n - 2)*(n - 1)*(n + 6)/7
Let i(h) be the first derivative of 72/5*h**3 + 324/5*h + 4/25*h**5 + 216/5*h**2 - 30 + 12/5*h**4. Suppose i(c) = 0. What is c?
-3
Let t = 1/9397 - -28183/75176. Factor -t*x**2 + 0 - 33/8*x.
-3*x*(x + 11)/8
Let t(y) be the second derivative of -7*y + 6 - 1/33*y**4 + 1/110*y**5 - 3/11*y**3 + 18/11*y**2. Factor t(x).
2*(x - 3)*(x - 2)*(x + 3)/11
Suppose -5*d + 1 + 268 = 2*y, -3*d - 129 = -y. Factor -7*m**5 + 3*m**5 - y*m**3 - 40*m**4 - 8062*m + 7998*m - 160*m**2.
-4*m*(m + 1)**2*(m + 4)**2
Let p(i) be the third derivative of -i**5/540 - 10*i**4/27 + 3*i**3/2 - 18*i**2 + 41*i. Solve p(y) = 0.
-81, 1
Let r(j) be the first derivative of -1/2*j**3 + 1/12*j**4 - 2*j**2 + 5*j + 17. Let v(d) be the first derivative of r(d). Factor v(f).
(f - 4)*(f + 1)
Let x(t) be the second derivative of -t**6/18 - 49*t**5/24 - 5*t**4/2 - 49*t**3/3 + 7*t - 5. Let n(j) be the second derivative of x(j). Factor n(c).
-5*(c + 12)*(4*c + 1)
Let o(g) = -74*g**2 - 300*g - 48. Let i(t) = -49*t**2 - 199*t - 32. Let f(d) = -8*i(d) + 5*o(d). Solve f(q) = 0 for q.
-4, -2/11
Let c(g) be the second derivative of -g**4/72 - 23*g**3/12 - 189*g**2/2 - 3669*g. Factor c(f).
-(f + 27)*(f + 42)/6
Let d(h) = h**2 - 11*h - 39. Let z be d(15). Suppose 5*m = 2*w + z, -20 = -7*m + 3*m. Factor 1/3*g**w + 0*g + 0.
g**2/3
Let r(u) = -37*u**2 - 15*u - 900. Let a(w) = 42*w**2 + 15*w + 900. Let h(z) = 8*a(z) + 9*r(z). Find c, given that h(c) = 0.
-15, 20
Let f(m) be the second derivative of 0*m**2 - 2/3*m**3 - 33*m - 2 - 1/3*m**4. Factor f(k).
-4*k*(k + 1)
Let -5/3*o**3 + 0 - 1/3*o**4 - 2*o**2 + 0*o = 0. Calculate o.
-3, -2, 0
Suppose 49*g - 158 - 38 = 0. Let b(v) be the first derivative of 3/2*v**2 + 5*v**3 + 7 + 0*v - 3*v**5 - 2*v**6 + 9/4*v**g. Let b(n) = 0. Calculate n.
-1, -1/4, 0, 1
Suppose 4*x - 9175 = -9167. Let b be 6*((-3)/(-2))/3. Factor 21*k**5 + 33*k**b + 48*k**4 + 19*k**2 - 9*k**2 - 4*k**x.
3*k**2*(k + 1)**2*(7*k + 2)
Let o(f) be the second derivative of -8/5*f**2 - 4/15*f**3 - 6*f + 1/75*f**6 + 0 + 1/10*f**5 + 1/5*f**4. Determine y, given that o(y) = 0.
-2, 1
Find y such that -140/9*y**2 + 0 - 46/3*y - 2/9*y**3 = 0.
-69, -1, 0
Let r(t) be the first derivative of -108*t**5/5 - 153*t**4/8 + 74*t**3 - 213*t**2/4 + 15*t - 1178. Solve r(y) = 0 for y.
-2, 1/3, 5/8
Let z(g) = -g**2 - 9*g - 34. Let d be z(-4). Let u be (3 - 2) + (d - 2)/(-8). Let 2/7*o**4 - 8/7*o**u + 8/7*o - 8/7 + 6/7*o**2 = 0. Calculate o.
-1, 1, 2
Factor 0*z**2 - 33*z + 2*z**2 + 557*z + 281*z + 3*z**2.
5*z*(z + 161)
Suppose -4*w + 18 = 10. Factor 8*a**2 - a**w + 8*a**2 + 5*a**3 - 14*a + 24*a.
5*a*(a + 1)*(a + 2)
Suppose 0 = 5*l - 7 - 3. Suppose 10 = 18*n - 13*n. Factor 20*m**l - 37*m - 58*m - 23 - n.
5*(m - 5)*(4*m + 1)
Let j(u) = 8*u - 213. Let t be j(24). Let g = -21 - t. Factor 2/7*l**2 + g*l + 0.
2*l**2/7
Let j(v) = 4*v**3 - 9*v**2 + 129*v - 119. Let o be j(1). Suppose 0*l**2 + 0 + 2/3*l - 16/3*l**4 - 4*l**3 - 2*l**o = 0. What is l?
-1, 0, 1/3
Let j(i) be the third derivative of -17/660*i**6 + 0*i**3 + 0*i - 72*i**2 + 2/33*i**4 + 0 + 7/165*i**5 - 1/231*i**7. What is y in j(y) = 0?
-4, -2/5, 0, 1
Let v be 405/63 + (-3)/7 - -4. Determine j so that 38*j**5 - 3*j**5 - 3*j**4 - 27*j**3 - 5*j**4 - 2*j**4 - 8*j**3 + v*j**2 = 0.
-1, 0, 2/7, 1
Solve -2/25*v**2 - 146/25*v + 148/25 = 0.
-74, 1
Let k(m) be the second derivative of 2385443281*m**6/45 - 43175444*m**5/15 + 195364*m**4/3 - 7072*m**3/9 + 16*m**2/3 - 243*m. Factor k(p).
2*(221*p - 2)**4/3
Let m(l) be the second derivative of 3*l**2 - 5/24*l**4 + 0*l**3 + 1/12*l**5 + 9*l + 0. Let n(u) be the first derivative of m(u). Factor n(d).
5*d*(d - 1)
Let a(o) be the first derivative of -o**6/3 + 4*o**5/5 + 15*o**4/2 - 40*o**3/3 - 44*o**2 + 96*o - 1095. Solve a(t) = 0 for t.
-3, -2, 1, 2, 4
Let a(f) be the first derivative of -f**6/3 - 64*f**5/5 - 87*f**4/2 - 888. Factor a(d).
-2*d**3*(d + 3)*(d + 29)
Suppose -2*t - 2 = -5*q, 20 = -2*q + 5*t + 4. Suppose -a = 3*h, -h + 32 = 5*a - q*h. Let a*m**3 + m**4 + 5 + 7 - 6*m + 2*m**4 - 15 = 0. What is m?
-1, 1
Let i be (-140490)/(-1127) - (6 + (-544)/92). Let a = -4353/35 + i. Determine v so that -1/5*v - 1/5*v**4 + 0 + a*v**2 + 1/5*v**3 = 0.
-1, 0, 1
Let x(q) be the second derivative of -32/69*q**4 - 1/483*q**7 - 9*q + 5 + 0*q**2 - 24/115*q**5 + 0*q**3 + 1/23*q**6. Find j such that x(j) = 0.
-1, 0, 8
Let n(w) be the third derivative of -16*w**7/525 - 74*w**6/75 - 1129*w**5/150 + 37*w**4 - 60*w**3 + 289*w**2. Factor n(b).
-2*(b + 10)**2*(4*b - 3)**2/5
Let l(t) be the first derivative of t**4/30 + 52*t**3/45 + 5*t**2/3 + 3733. Suppose l(w) = 0. What is w?
-25, -1, 0
Let k(j) be the second derivative of 0*j**3 + 7/2*j**2 - 3/32*j**4 + 1/80*j**5 - 4*j + 0. Let t(a) be the first derivative of k(a). Factor t(z).
3*z*(z - 3)/4
Let r(l) be the first derivative of -44/9*l**2 + 2/27*l**3 - 134 + 968/9*l. Solve r(q) = 0.
22
Let i(o) be the first derivative of 2*o**6/3 - 4*o**5/5 - 3*o**4 + 20*o**3/3 - 4*o**2 + 926. Find a such that i(a) = 0.
-2, 0, 1
Let i(a) be the second derivative of -a**5/15 + 13*a**4/3 + 82*a**3 + 658*a**2/3 - 4107*a. Factor i(w).
-4*(w - 47)*(w + 1)*(w + 7)/3
Suppose 28*f = 25*f + 126. Let j = 45 - f. Solve -117*g + 88*g**2 - 6*g**3 - 2*g**3 + 36 - 6*g**j - 33*g = 0.
2/7, 3
Let n(b) = 700*b**3 - 6*b**2 + 254*b - 246. Let o(m) = 39*m**3 + m**2 - 1. Let c(x) = 2*n(x) - 36*o(x). Factor c(u).
-4*(u - 6)*(u - 1)*(u + 19)
Let c = 294 - 246. Factor 17*g + 47*g - 12*g**2 + c + 201*g**3 - 225*g**3 + 4*g**4.
4*(g - 6)*(g - 2)*(g + 1)**2
Let s = -1 + 1. Suppose -26 = -2*u - 2*l, 3909*l - 33 = 3906*l. Let 2/9 + 2/9*y**4 + s*y - 4/9*y**u + 0*y**3 = 0. Calculate y.
-1, 1
Let -2/11*m**5 + 42/11*m**3 + 94/11*m**2 - 240/11*m - 288/11 - 6/11*m**4 = 0. What is m?
-4, -1, 3
Let k = -222337 - -223489. Find d such that 12288 + 3/8*d**3 + 36*d**2 + k*d = 0.
-32
Let b(u) be the first derivative of 3*u + 1/3*u**3 + 2*u**2 + 29. Suppose b(j) = 0. Calculate j.
-3, -1
Let f be (-66)/(-880)*14/(140/18150). What is g in -f*g**2 - 1/2 - 33/2*g = 0?
-2/33
Determine n so that -2/11*n**2 - 323208/11 - 1608/11*n = 0.
-402
Find a such that 1388/5*a + 2/5*a**2 - 278 = 0.
-695, 1
Let g = 1906 + -1906. Let t(j) be the second derivative of 1/15*j**5 + 18*j - 2/9*j**4 + g*j**3 + 0*j**2 + 0. What is m in t(m) = 0?
0, 2
Let s(m) be the first derivative of -40/3*m**2 - 2/9*m**3 - 800/3*m + 153. Solve s(g) = 0 for g.
-20
Let p = -10/1509 + 1016/1509. Let y(r) be the first derivative of 1/4*r**4 + 0*r**2 - 18 - p*r**3 + 0*r. What is x in y(x) = 0?
0, 2
Let 1452*t**2 - 3*t**3 + 1362*t**2 + t**4 - 62*t**3 - 171*t - 2511*t**2 - 540 = 0. Calculate t.
-1, 3, 60
Let c(i) be the second derivative of -i**4/72 + 49*i**3/18 + 50*i**2/3 - 8830*i. Factor c(b).
-(b - 100)*(b + 2)/6
Suppose -63/2*c**2 + 3/4*c**4 + 9/4*c**3 + 75*c - 54 = 0. Calculate c.
-9, 2
Let z be ((-16000)/420 - -38)/(-4 + (-333)/(-84)). Find n, given that 4/3*n - z + 2*n**2 - 1/3*n**3 - 1/3*n**4 = 0.
-2, 1, 2
Let i(j) = -5*j**4 + 100*j**3 - 225*j**2 + 110*j + 115. Let m(w) = -6*w**4 + 99*w**3 - 226*w**2 + 108*w + 116. Let s(a) = 4*i(a) - 5*m(a). Factor s(f).
5*(f - 6)*(f - 2)**2*(2*f + 1)
Let h = 76193 + -76193. De